Question 1
A random sample of
n observations, selected from a normal population, is used to test the null hypothesis
H0:
σ2 = 155. Specify the appropriate rejection region.
Ha:
σ2 > 155,
n = 25,
α = .10
◦
χ2 > 15.6587
◦
χ2 > 34.3816
◦
χ2 > 36.4151
◦
χ2 > 33.1963
Question 2
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. Find the rejection region for determining if the population standard deviation exceeds 20 minutes. Use α = 0.05.
◦ Reject H
0 if χ
2 > 71.4202
◦ Reject H
0 if χ
2 > 67.5048
◦ Reject H
0 if z > 1.645
◦ Reject H
0 if χ
2 > 34.7642
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