Since determining a person’s CALC score is both expensive and time-consuming, the coordinator has decided to pick what she hopes is a random sample from the cohort, determine the CALC score for each person in the sample, and then conduct the appropriate statistical test to determine whether the variance is indeed less than 225. After selected what she considers to be a random sample of 25 people, the project coordinator obtains the following CALC scores: 87, 101, 69, 102, 90, 109, 78, 85, 108, 107, 78, 101, 89, 93, 88, 104, 99, 112, 108, 79, 98, 102, 97, 95, 89. (a) Is there evidence at a significance level of .05 that the CALC score variance is less than 225? (b) What is the p-value associated with the test statistic?
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