A 2017 survey found that the daily time spent on social media differs by age group. You select random samples of people from each age group to verify the information. The following table lists the difference of time spent by the groups 16- to 24-year-olds and 25- to 34-year-olds from your sample:

a. Perform a hypothesis test using a = 0.01 to determine if the average time spent on social media differs by age group.

b. Determine the p-value and interpret the results.

c. Construct a 99% confidence interval to estimate the difference in the average time spent by 16- to 24- year-olds and the average time spent by 25-to 34-year-olds

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16-24 years 25-34 years Sample mean (minutes) Sample size Population standard deviation (minutes) 188 214 32 30 91 76