Find the 95% confidence level of the true mean. Does the confidence interval interpretation agree with the results of the hypothesis test?

The average undergraduate cost for tuition, fees, room, and board for all institutions last year was $26,025. A random sample of 40 institutions of higher learning this year indicated that the mean tuition, fees, room, and board for the sample was $27,690, and the population standard deviation is $5492. At the 0.05 level of significance, is there sufficient evidence that the cost has increased? Use P-Value Method. Find the 95% confidence level of the true mean. Does the confidence interval interpretation agree with the results of the hypothesis test?

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