The average number of hours that Canadians spend on the internet at home has been 95 hours per month for several years. In early March of 2020, as more people were starting to work and study at home, a random sample of 36 households found a mean of 100 hours with a sample standard deviation of 12 hours. The population standard deviation is unknown. Assume that hours spent on the internet are approximately normally distributed. Is there enough evidence to conclude that the average number of hours spent on the internet at home has increased? Test the hypothesis at the 5% level of significance.

Question 1

What are the null and alternative hypotheses?

H0: =95 hoursHA: >95 hours ( is more than 95 hours)

H0: =95 hoursHA: <95 hours ( is less than 95 hours)

H0: =95 hoursHA: 95 hours

H0: =100 hoursHA: >100 hours

H0: >95 hoursHA: =95 hours

Question 2

At the 5% level of significance, what is the critical value and decision rule?

Critical Value:

Decision Rule:

Question 3

Calculate the value of the test statistic

Question 4

Decision:

Justification: