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Confidence interval be for the population mean

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1. It is known that the average tuition per semester at colleges in Virginia is $3712. Suppose we take a sample of 15 colleges and find that the average tuition per semester is $4512 with a sample standard deviation of $595. We are interested in testing if the average amount of tuition is increasing.

a. Using the sample of 15 people, what would the 95% confidence interval be for the population mean?

b. What are the null and alternative hypotheses?

c. What is the critical value at 95% confidence?

d. Calculate the test statistic.

e. Find the p-value.

f. What conclusion would be made here at the 95% confidence level?

g. Would my conclusion change if I changed alpha to .01? Show reasoning.

Reference no: EM132464791

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