Answer the following questions.

1. Let's pretend that we wanted to investigate how much screen time people are experiencing during the Covid-19 quarantine. Pretend that in a random sample of 25 people, the average screen time per day was 11 hours with a standard deviation of 2 hours. Answer the following questions.

1. Is this a problem about a mean or a proportion?

1. Do you use Z or T distribution?
2. What is the standard deviation for the mean? ( = )

1. How many degrees of freedom would you use for this distribution?

1. A professional statistician tells you to use a critical value of ₂ = 2.06 for a 95% confidence interval. Calculate a 95% confidence interval for the true population mean.

1. Based on the confidence interval, can we conclude that average screen time is above 8 hours?

Mr. Alex Liebrecht

(continued) Let's pretend that we wanted to investigate how much screen time people are experiencing during the Covid-19 quarantine. Pretend that in a random sample of 25 people, the average screen time per day was 11 hours with a standard deviation of 2 hours. Answer the following questions.

1. Let's say that we want to do a follow-up hypothesis test. We want to test the claim that average screen time is more than 8 hours. What is the null and alternate hypothesis?

1. A professional statistician performs the appropriate hypothesis test and calculates a p-value of4.8502 10⁸. Would you reject or fail to reject the null hypothesis?

1. What is the correct conclusion for the hypothesis test? Remember to use language such as

"there is enough evidence" or "there is not enough evidence."

1. Do your results from the hypothesis test agree with the confidence interval conclusion from part f?