A website 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. The website owners would like to set α=0.02. What is the critical value for this hypothesis test?

Question

Blaze Lloyd

Mathematics

1 February, 14:40

A website 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. The website owners would like to set α=0.02. What is the critical value for this hypothesis test?

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Payne · Answer 1

The critical value is 2.434

Step-by-step explanation:

Significance level = 0.02 (2%)

n (number of samples) = 37

Degree of freedom = n - 1 = 37 - 1 = 36

Using the t-distribution table, the critical value for a one-tailed test corresponding to 2% significance level and 36 degrees of freedom is 2.434