YouTube would like to test the hypothesis that the average length of an online video watched by a user is more than 8 minutes. A random sample of 37 people watched online videos that averaged 8.7 minutes in length. It is believed that the population standard deviation for the length of online videos is 2.5 minutes. YouTube would like to set α = 0.02. The critical value for this hypothesis test would be _________.
A)1.645
B)1.96
C)1.28
D)2.05

Question

Quizplus · Accepted Answer

Given that the population standard deviation is known, a Z-test is appropriate for this hypothesis testing. The significance level (α) is 0.02, and since the hypothesis is testing for a mean greater than a certain value, it's a one-tailed test. For a one-tailed test with α = 0.02, the critical value from the Z-table is approximately 2.05.

YouTube Would Like to Test the Hypothesis That the Average