Mathematics, 28.02.2020 00:14 s945924

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A simple random sample of 28 wait times while pumping gas at a gas station has a standard deviation of 20 seconds. The test statistic for the random sample is 22.314 when found to test a claim that the standard deviation for all wait times while pumping gas at a gas station is less than 22 seconds. Using a significance level, find the critical value and state the initial conclusion.
a. 16.151; because the test statistic is less than the critical value, the test rejects the claim that the standard deviation for all wait times while pumping gas at a gas station is less than 22 seconds.
b. 16.151; because the test statistic is greater than the critical value, the test supports the claim that the standard deviation for all wait times while pumping gas at a gas station is less than 22 seconds.
c. 40.113; because the test statistic is less than the critical value, the test fails to reject the claim that the standard deviation for all wait times while pumping gas at a gas station is less than 22 seconds.
d. 40.113; because the test statistic is greater than the critical value, the test supports the claim that the standard deviation for all wait times while pumping gas at a gas station is less than 22 seconds.

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