MATH 302 -Final Exam

 

Question 1 of 23

The data presented in the table below resulted from an experiment in which seeds of 5 different types were planted and the number of seeds that germinated within 5 weeks after planting was recorded for each seed type. At the .01
level of significance, is the proportion of seeds that germinate dependent on the seed type?
Observed Frequencies
Germinated

Failed to Germinate

1

7

57

33

3

87

60

4

52

44

5

Seed Type

31

2

10

19

A.Yes, because the test value 16.86 is greater than the critical value of 13.28
B.Yes, because the test value 16.86 is less than the critical value of 14.86
C.No, because the test value 16.86 is greater than the critical value of 13.28
D.No, because the test value 13.28 is less than the critical value of 16.86
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Question 2 of 23

1.0 Points

The chi-square goodness-of-fit test can be used to test for:
A.normality
B.significance of sample statistics
C.difference between population variances
D.difference between population means
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Part 2 of 16 –

Question 3 of 23

1.0 Points

A single variable X can explain a large percentage of the variation in some other variable Y when the two variables are:
A.highly correlated
B.directly related
C.mutually exclusive
D.inversely related
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1.0 Points

Question 4 of 23
The standard error of the estimate, sest, is essentially the
A.standard deviation of the explanatory variable
B.mean of the explanatory variable
C.mean of the residuals
D.standard deviation of the residuals
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1.0 Points

Question 5 of 23
In regression analysis, the variable we are trying to explain or predict is called the
A.regression variable
B.dependent variable
C.residual variable
D.independent variable
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Part 3 of 16 –

1.0 Points

Question 6 of 23

Q-Mart is interested in comparing its male and female customers. Q-Mart would like to know if the amount of money
spent by its female charge customers differs, on average, from the amount spent by its male charge customers.
To answer this question, an analyst collected random samples of 25 female customers and 22 male customers. Based
on these samples, on average, the 25 women charge customers spent $102.23 and the 22 men charge customers
spent $86.46. Moreover, the sample standard deviation of the amount charged by the 25 women was $93.393, and the
sample standard deviation of the amount charged by the 22 men was $59.695.
Using the procedure advocated by Bluman, at the 10% level of significance, is there sufficient evidence for Q-Mart to
conclude that, on average, the amount spent by women charge customers differs from the amount spent by men
charge customers.
A.No, the p-value of this test is less than 0.10.
B.Yes, the test value does not exceed the critical value
C.No, the test value does not exceed the critical value.
D.Yes, the p-value of this test is greater than 0.10
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1.0 Points

Question 7 of 23

Two independent samples of sizes n1 = 50 and n2 = 50 are randomly selected from two populations to test the
difference between the population means,
difference,

. The sampling distribution of the sample mean

is:

A.normally distributed
B.chi-squared distributed with 99 degrees of freedom
C.approximately normal
D.t – distributed with 98 degrees of freedom

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Part 4 of 16 –

1.0 Points

Question 8 of 23

You conduct a hypothesis test and you observe values for the sample mean and sample standard deviation when n =
25 that do not lead to the rejection of H0. You calculate a p-value of 0.0667. What will happen to the p-value if you
observe the same sample mean and standard deviation for a sample size larger than 25?
A.The p – value decreases
B.The p – value stays the same
C.The p – value increases
D.The p – value may increase or decrease
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1.0 Points

Question 9 of 23

Results from previous studies showed 79% of all high school seniors from a certain city
plan to attend college after graduation. A random sample of 200 high school seniors from
this city reveals that 162 plan to attend college. Does this indicate that the percentage has
increased from that of previous studies? Test at the 5% level of significance.
Compute the z or t value of the sample test statistic.
A.t = 1.645
B.z = 0.69
C.z = 0.62
D.z = 1.96
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1.0 Points

Question 10 of 23

In an article appearing in Today’s Health a writer states that the average number of calories in a serving of popcorn is
75. To determine if the average number of calories in a serving of popcorn is different from 75, a nutritionist selected a
random sample of 20 servings of popcorn and computed the sample mean number of calories per serving to be 78 with
a sample standard deviation of 7.

State the null and alternative hypotheses.
A.H0:

= 75, H1:

≠ 75

B.H0:

= 75, H1:

> 75

C.H0:

75, H1:

< 75

D.H0:

75, H1:

> 75

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Part 5 of 16 –

Question 11 of 23

1.0 Points

A previous study of nickels showed that the standard deviation of the weight of nickels is 150 milligrams. How many
nickels does a coin counter manufacturer need to weigh so that she can be 98% confident that her sample mean is
within 25 milligrams of the true average weight of a nickel?
A.36
B.196
C.239
D.139
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Question 12 of 23

1.0 Points

From a sample of 500 items, 30 were found to be defective. The point estimate of the population proportion defective
will be:
A..06
B.0.60
C.30
D.16.667
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Part 6 of 16 –

Question 13 of 23

1.0 Points

The mean of a probability distribution is a:
A.measure of relative likelihood
B.measure of variability of the distribution
C.measure of central location
D.measure of skewness of the distribution
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Part 7 of 16 –

Question 14 of 23

1.0 Points

If a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum of
three, he wins $20. The cost to play the game is $5. What is the expectation of this
game?
A.$3.06
B.-$2.78
C.-$3.06
D.$2.78
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Part 8 of 16 –

Question 15 of 23

1.0 Points

A furniture manufacturer offers bookcases in 5 different sizes and 3 different colors. If every color is available in every
size, then the total number of different bookcases is
A.5
B.8
C.15
D.30
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Part 9 of 16 –

3.0 Points

Question 16 of 23

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as
thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be
used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Staples, a chain of large office supply stores, sells a line of desktop and laptop computers. Company
executives want to know whether the demands for these two types of computers are dependent on one
another. Each day’s demand for each type of computers is categorized as Low, Medium-Low, MediumHigh, or High. The data shown in the table below is based on 200 days of operation. Based on these data,
can Staples conclude that demands for these two types of computers are independent? Test at the 5% level
of significance.
desktops
low

med-high

high

low

3

14

14

4

35

med-low

6

18

17

22

63

med-high

13

16

11

16

56

high

8

14

15

9

46

30

laptops

med-low

62

57

51

200

What is the test value for this hypothesis test?
Answer:

Round your answer to two decimal places.

What is the critical value for this hypothesis test?
Answer:

Round your answer to two decimal places.

What is the conclusion for this hypothesis test? Choose one.
1. At the .05 level of significance, Staples can conclude that demands for these two types of computers are

independent.
2. At the .05 level of significance, Staples can conclude that demands for these two types of computers are

dependent.
Answer:

Enter only a 1 or 2 for your answer.

Part 10 of 16 –

1.0 Points

Question 17 of 23

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as
thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be
used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

The marketing manager of a large supermarket chain would like to determine the effect of shelf space (in
feet) on the weekly sales of international food (in hundreds of dollars). A random sample of 12 equal –sized
stores is selected, with the following results:
Store

Shelf Space(X)

Weekly Sales(Y)

1

10

2.0

2

10

2.6

3

10

1.8

4

15

2.3

5

15

2.8

6

15

3.0

7

20

2.7

8

20

3.1

9

20

3.2

10

25

3.0

11

25

3.3

12

25

3.5

Using the equation of the regression line for these data, predict the average weekly sales (in
hundreds of dollars) of international food for stores with 13 feet of shelf space for international food.
Place your answer, rounded to 3 decimal places , in the blank. Do not use a dollar sign. For
example, 2.345 would be a legitimate entry.

Part 11 of 16 –

Question 18 of 23

1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as
thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be
used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
Q-Mart is interested in comparing its male and female customers. Q-Mart would like to know if the amount of money
spent by its female charge customers differs, on average, from the amount spent by its male charge customers.

To answer this question, an analyst collected random samples of 25 female customers and 22 male customers. Based
on these samples, on average, the 25 women charge customers spent $102.23 and the 22 men charge customers
spent $86.46. Moreover, the sample standard deviation of the amount charged by the 25 women was $93.393, and the
sample standard deviation of the amount charged by the 22 men was $59.695.
Suppose, using a 10% level of significance, you wish to know if there is sufficient evidence for Q-Mart to conclude that,
on average, the amount spent by women charge customers differs from the amount spent by men charge customers.
That is suppose you wish to test
H0:

versus H1:

Assuming that the amounts spent by female and male charge customers at Q-Mart are normally distributed, based on
the procedure advocated by Bluman, what is/are the critical values that you would use to conduct this test of
hypothesis? Place your answer, rounded to 3 decimal places, in the blank. If there are two critical values, place only the
positive value in the blank. For example, 2.035 would be a legitimate entry.

Part 12 of 16 –

Question 19 of 23

1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as
thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be
used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Mrs. Smith’s reading class can read a mean of 175 words per minute with a standard
deviation of 20 words per minute. The top 3% of the class is to receive a special award.
Assuming that the distribution of words read per minute are normally distributed, what is
the minimum number of words per minute a student would have to read in order to get the
award? Place your answer, rounded to the nearest whole number, in the
blank.
When entering your answer do not use any labels or
symbols. Simply provide the numerical value. For example, 123 would be a legitimate
entry.

Part 13 of 16 –

Question 20 of 23

1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as
thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be
used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is moundshaped and symmetric with a mean of 24.6 mpg and a standard deviation of 11.2 mpg. If 30 such cars are tested, what
is the probability the average mpg achieved by these 30 cars will be greater than 27?
Answer:
legitimate entry.

Round your answer to 4 decimal places as necessary. For example, 0.1357 would be a

Part 14 of 16 –

1.0 Points

Question 21 of 23

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as
thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be
used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
Find the expected value of the following probability distribution.
X

1

2

3

4

5

P(X)

0.05

0.20

0.35

0.25

0.15

Round your answer to two decimal place as necessary. For example, 4.56 would be a legitimate entry.
Expected value =

Part 15 of 16 –

1.0 Points

Question 22 of 23

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as
thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be
used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
A survey determines that mint chocolate chip is the favorite ice cream flavor of 6% of consumers. An ice cream shop
determines that of 240 customers, 18 customers stated their preference for mint chocolate chip.
Find the P-value that would be used to determine if the percentage of customers who prefer mint chocolate chip ice has
increased at a 5% level of significance.
P-value:

Round your answer to four decimal places as necessary.

Part 16 of 16 –

Question 23 of 23

1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as
thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be
used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
A jar contains four white marbles, five red marbles, and six black marbles. If a marble was selected at random, find the
probability that it is white or black. Place your answer, rounded to 2 decimal places in the blank. For example 0.23
would be a legitimate entry.

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Statistic Quiz Due in 30 mins Module 4

Question 1 Not yet answeredMarked out of 1.00

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MAT 300 Assignment 1: Bottling Company Case Study

   MAT 300 Assignment 1: Bottling Company Case Study

Imagine you are a manager at a major bottling company. Customers have begun to complain that the bottles of the brand of soda produced in your company contain less than the advertised sixteen (16) ounces of product. Your boss wants to solve the problem at hand and has asked you to investigate. You have your employees pull thirty (30) bottles off the line at random from all the shifts at the bottling plant. You ask your employees to measure the amount of soda there is in each bottle. Note: Use the data set provided by your instructor to complete this assignment.

Write a two to three (2-3) page report in which you:

Calculate the mean, median, and standard deviation for ounces in the bottles.

Construct a 95% Confidence Interval for the ounces in the bottles.

Conduct a hypothesis test to verify if the claim that a bottle contains less than sixteen (16) ounces is supported. Clearly state the logic of your test, the calculations, and the conclusion of your test.

Provide the following discussion based on the conclusion of your test: 

If you conclude that there are less than sixteen (16) ounces in a bottle of soda, speculate on three (3) possible causes. Next, suggest the strategies to avoid the deficit in the future.

Or

If you conclude that the claim of less soda per bottle is not supported or justified, provide a detailed explanation to your boss about the situation. Include your speculation on the reason(s) behind the claim, and recommend one (1) strategy geared toward mitigating this issue in the future.

Use at least two (2) quality resources in this assignment. Note: Wikipedia and similar Websites do not qualify as quality resources. The body of the paper must have in-text citations that correspond to the references.

Your assignment must follow these formatting requirements:

Be typed, double spaced, using Times New Roman font (size 12), with one-inch margins on all sides; citations and references must follow APA or school-specific format. Check with your professor for any additional instructions.

Include a cover page containing the title of the assignment, the student’s name, the professor’s name, the course title, and the date. The cover page and the reference page are not included in the required assignment page length.

The specific course learning outcomes associated with this assignment are:

Calculate measurements of central tendency and dispersal.

Determine confidence intervals for data.

Describe the vocabulary and principles of hypothesis testing.

Discuss application of course content to professional contexts.

Use technological tools to solve problems in statistics.

Write clearly and concisely about statistics using proper writing mechanics.

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Plane Trig., College Level. Need Answers Only To Questions

Can some help me out with my exams and quizes for plane trig. Answers only. I am having trouble uploading the info. Will seek help with this on Monday. If you dont see anyrthing or just let me know the problem. Thanks…

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Airlines performance statistic.

Has the recent drop in airplane passengers resulted in better on-time performance? Before the recent economic downturn, one airline bragged that 92% of its flights were on time. A random sample of 165 flights completed this year reveals that 153 were on time. Can we conclude at the 5% significance level that the airline’s on-time performance has improved?

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Calulus questions

1. The demand for personal computers in the home goes up with household income. For a given community, we can approximate the average number of computers in a home as q  = 0.3458  ln x  − 3.043        10,000 ≤ x  ≤ 125,000

where  x is mean household income. Your community has a mean income of  $20,000 , increasing at a rate of  $2,500  per year. How many computers per household are there? (Round your answer to four decimal places.)
________computers per household

How fast is the number of computers in a home increasing? (Round your answer to four decimal places.)
________computers per household per year

 

 

2.

 

You can now sell  70  cars per month at  $35,000  per car, and demand is increasing at a rate of  3  cars per month each month. What is the fastest you could drop your price before your monthly revenue starts to drop? HINT [Revenue = Price  ×  Quantity.]
 dp/dt  = $________ per month  3.A point is moving along the circle  x2 + (y − 5 )2 = 2  in such a way that its  x-coordinate is decreasing at a rate of  3  unit per second. What is happening to the  y-coordinate at the instant when the point has reached  (−1 , 6 ). The   y-coordinate is  _____________ at a rate of  ___________   units per second.

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Calc

  A cylinder is inscribed in a right circular cone of height 5 and radius (at the base) equal to 8. What are the dimensions of such a cylinder which has maximum volume?

r = ?
h = ?  

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Unit 4 Personal and professional Development in HSC

   Unit 4 Personal and professional Development in HSC Unit 4: Personal and Professional Development in Health and SocialCare

Aim 

The aim of this unit is to encourage learners to develop as reflective practitioners by applyingtheir understanding and skills to their own health and social care setting.

                   

Learning outcomes

On successful completion of this unit a learner will:

1 Understand how personal values and principles influence individual contributions to work in health and social care settings

2 Be able to produce, monitor, revise and evaluate plans for personal progress in developing the skills and abilities required of a health and social care practitioner

3 Understand the application of principles of professional engagement with users of health andsocial care services

4 Be able to demonstrate development of own skills and understanding in relation to workingwith others in health and social care practice.

 

Unit 4: Personal and ProfessionalDevelopment in Health and SocialCare

Unit content

1 Understand how personal values and principles influence individual contributions

to work in health and social care settings

Personal values: influences of eg beliefs and preferences, culture, political perspectives,

interests and priorities, change over lifespan

Culture and experiences: influences of eg family, ethnicity, belief, education, employment,

age and gender, life events

Values and principles: equal rights, diversity, confidentiality, protection from abuse and harmNew developments: legislation, policies, research, priorities and targets

Change to personal values: influences of eg overcoming of tensions between personal values

and principles of good practice; differences relating to values of others eg users of service,

workplace organizations, other people with whom you work

Unit 4: Personal and Professional Development in Health and Social Care

2 Be able to produce, monitor, revise and evaluate plans for personal progress in

developing the skills and abilities required of a health and social care practitioner

Own abilities and learning styles: planning cycle, practical skills, interpersonal skills,

application to practice, level of performance, learning experiences and preferred learning

stylePersonal development plan: for acquiring new skills, updating practice, learning, careerdevelopment; three months, one year, five years

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3 Understand the application of principles of professional engagement with users of

health and social care services

Professional relationships: with individuals, their family and friends, team members, line

managers, workers in other agencies; rights and responsibilities of users of service versus

care workers and others; professional codes; trust; advocacy; empowerment

Models of support: medical health versus social model; individual benefit versus

organizational benefit

Dilemmas: risk, abuse, challenging behaviour, conflict, ethics, confidentiality versus

disclosure, expectations changing over time, conflicts between principles of good practice

and values of others

Own practice: roles eg meeting needs of users of service, provider of health and social care

services, facilitator, advocate, adviser, counsellor, mentor

Barriers: miscommunication, different professional codes of practice, group cohesiveness,

Personalities

Unit 4: Personal and ProfessionalDevelopment in Health and SocialCare

4 Be able to demonstrate development of own skills and understanding in relation

to working with others in health and social care practice

Own contribution: skills, knowledge, understanding, communication information,

responsibilities; models of reflection, critical reflection

Collective effectiveness of teams: meeting needs and expectations of users of service,

improving team performance, supporting other team members, meeting objectives, formal

and informal roles within organizational structures and systems

Barriers: interpersonal interactions; professional codes, differing priorities, expectations,

experience, accountability

Unit 4: Personal and ProfessionalDevelopment in Health and SocialCare

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math logic and axiom

Design your own small axiom system. 

You should have four axioms and 4 theorems.

You must submit at least one consistency model for your system, although having more than one would

be great. Note: two consistency models are not required for an A.

For each axiom, either construct an independence model or prove it is dependent upon the other

axioms. Having more than one dependent axioms will negatively impact your grade.

Submit a proof for each of your theorems.

You must type this project! It should be easily readable, in a font that doesn’t cause eyestrain. It

should be obvious where your proofs begin and end.

Your consistency model and independence models should be done on a computer. Hand drawing your

models will negatively impact your grade.

You must submit a separate cover sheet containing your name, axioms and theorems for quick reference.

Your project must be stapled or with a binder clip (paper clip will not su ce). Do not staple the cover

sheet to the project.

Creativity will be appreciated. But you will not lose points if you use point and line.

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2-3 paragraph SPSS

For this Introduction to Quantitative Analysis Assignment, you will explore how to visually display data for optimal use.

To prepare for this Assignment:Review this week’s Learning Resources and consider visual displays of data.Using the SPSS software, open the Afrobarometer dataset or the High School Longitudinal Study dataset (whichever you choose) found in this week’s Learning Resources.From the dataset you chose, choose one categorical and one continuous variable and perform the appropriate visual display for each variable.Once you visually display each variable, review Chapter 11 of the Wagner text to understand how to copy and paste your output into your Word document.

For this Assignment:

Write a 2- to 3-paragraph analysis of your results and include a copy and paste of the appropriate visual display of the data into your document.

Based on the results of your data, provide a brief explanation of what the implications for social change might be.

Use appropriate APA format. Refer to the APA manual for appropriate citation.

 

Wagner, W. E. (2016). Using IBM® SPSS® statistics for research methods and social science statistics (6th ed.). Thousand Oaks, CA: Sage Publications.Chapter 11, “Editing Output”

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