Confidence interval for the population mean

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It is known from past information that the average house in America has 2.5 bedrooms. Suppose I take a sample of 28 houses now and find that the average number of bedrooms the homes have is 2.85 with a sample standard deviation of .83. I'm interested in seeing if there is evidence that the average number of bedrooms has increased.

a. Using my sample of 28 houses, what would be the 95% confidence interval for the population mean?

b. What are the null and alternative hypotheses?

c. Calculate the test statistic.

d. Find the p-value.

Reference no: EM132227884

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