T-statistics, P-Values, and Hypothesis Testing

Consider the following hypotheses test.

Ho: m ³ 80
Ha: m < 80

A sample of 121 provided a sample mean of 77.3. The population standard deviation is known to be 16.5.

a. Compute the value of the test statistic.
b. Determine the p-value; and at 93.7% confidence, test the above hypotheses.
c. Using the critical value approach at 93.7% confidence, test the hypotheses.

© SolutionLibrary Inc. solutionlibary.com 9836dcf9d7 https://solutionlibrary.com/statistics/hypothesis-testing/t-statistics-p-values-and-hypothesis-testing-7f8k

Solution Preview

...(121)
=-2.7/16.5*11
=-1.8

b. Determine the p-value; and at 93.7% confidence, test the above hypotheses.

The p-value=P(Z<-z)
...