Question 1
A large university is interested in learning about the average time it takes students to drive to campus. The university sampled 51 students and asked each to provide the amount of time they spent traveling to campus. The sample results found that the sample mean was 23.243 minutes and the sample standard deviation was 20.40 minutes. It is desired to determine if the population standard deviation exceeds 20 minutes. Calculate the test statistic for this test of hypothesis.
◦ χ
2 = 51
◦ χ
2 = 58.11
◦ χ
2 = 52.02
◦ χ
2 = 53.06
Question 2
An educational testing service designed an achievement test so that the range in student scores would be greater than 300 points. To determine whether the objective was achieved, the testing service gave the test to a random sample of 41 students and found that the sample mean and variance were 687 and 2605, respectively. Specify the null and alternative hypotheses for determining whether the test achieved the desired dispersion in scores. Assume that
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