# Question

Suppose you have 30 observations from a normal distribution. The sample mean is 15 and the variance of X is 25. You want to test whether the sample mean is significantly different from 13.

A) Write down the null and alternative hypotheses

B) Calculate your Z statistic.

C) Can you reject the null hypothesis at the 5% significance level? (Report your critical value)

D) Can you reject the null hypothesis at the 1% significance level? (Report your critical value)

E) Report the 95% confidence interval for your sample.

A) Write down the null and alternative hypotheses

B) Calculate your Z statistic.

C) Can you reject the null hypothesis at the 5% significance level? (Report your critical value)

D) Can you reject the null hypothesis at the 1% significance level? (Report your critical value)

E) Report the 95% confidence interval for your sample.

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