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4. An iHeartMedia-sponsored survey of 6016 consumers who listen at least once a week to an audio platform reported an average of 17.2 hours

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4. An iHeartMedia-sponsored survey of 6016 consumers who listen at least once a week to an audio platform reported an average of 17.2 hours a week listening to audio, such as broadcast radio, streaming music services, and podcasts. Assume that the standard deviation is 6.8 hours. (5) a. Give a 95% confidence interval for the mean time spent per week listening to audio. Interpret. b. Is it true that 95% of the 6016 consumers reported weekly times that lie in the interval you found in (2) part (a)? Explain your answer. c. It is likely this population distribution is very skewed with many small listening times and several very (2) large times. Explain why the confidence interval based on the Normal distribution should nevertheless be a good approximation in this case. d. Give the sample mean and population standard deviation in minutes. e. Calculate the 95% confidence interval in minutes from your answers to part (d). f. Explain how you could have directly calculated this interval from the 95% interval that you calculated in (a). (2) (2) (1)

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