Suppose you have a sample of 25 observations in which the average age of residents is 37 years and the standard deviation is 6.047 years. A friend tells you that the average resident is 35 years old. Formally state the hypothesis test you would use to test whether your friend is wrong

MATLAB: An Introduction with Applications
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  1. Suppose you have a sample of 25 observations in which the average age of residents is 37 years and the standard deviation is 6.047 years. A friend tells you that the average resident is 35 years old.
    1. Formally state the hypothesis test you would use to test whether your friend is wrong. Use a two-tailed test.
    2. Using the confidence interval method, test your hypothesis at the 99% confidence level. Explicitly state the results of the test.
    3. Using the t-test method, determine at which conventional significance levels you can reject the null hypothesis and refute your friend’s claim (if any).
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