A market researcher for a consumer electronics company wants to study the media viewing behavior of residents of a particular area. A random sample of 50 respondents is selected, and each respondent is instructed to keep a detailed record of time spent engaged viewing content across all screens in a particular week. The results are as follows: Content viewing time per week: X=43hours, S=5.3 hours. 15 respondents have high definition (HD) on at least one television set.

Complete parts (a) through (e) below.

Question content area bottom

Part 1

a. Construct a 99% confidence interval estimate for the mean content viewing time per week in this area. enter your response hereenter your response here (Round to two decimal places asneeded.)

Part 2

b. Construct a 99%confidence interval estimate for the population proportion of residents who have HD on at least one television set.

enter your response hereenter your response here

(Round to four decimal places as needed.)

Part 3

c. Suppose that the market researcher wants to take another survey in a different location. What sample size is required to be 99% confident of estimating the population mean content viewing time to within 3 hours assuming that the population standard deviation is equal to 7 hours?

enter your response here

(Type a whole number.)

Part 4

d. How many respondents need to be selected to be 99% confident of being within 0.04 of the population proportion who have HD on at least one television set if no previous estimate isavailable?

enter your response here

(Type a whole number.)

Part 5

e. Based on (c) and (d), how many respondents should the market researcher select if a single survey is beingconducted?