Question: Given a sample size of 34, with sample mean 660.3 and sample standard deviation 104.9, we perform the following hypothesis test.

Null Hypothesis \({{H}_{0}}:\mu =700\)

Alternative Hypothesis \({{H}_{a}}:\mu \ne 700\)

1. What is the test statistic?

ii. At a 5% significance level (95% confidence level), what is the critical value in this test? Do we reject the null hypothesis?

iii. What are the border values between acceptance and rejection of this hypothesis?

iv. What is the power of this test if the assumed true mean were 690 instead of 700?

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