**Title: Determining Eligibility for a TV Watching Study****Introduction:**A newspaper article reported that people spend a mean of 6.5 hours per day watching TV, with a standard deviation of 1.8 hours. A psychologist would like to conduct interviews with the 20% of the population who spend the most time watching TV. She assumes that the daily time people spend watching TV is normally distributed.**Problem:**At least how many hours of daily TV watching are necessary for a person to be eligible for the interview? Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.**Solution:**This problem involves finding a cutoff point, or threshold, for the top 20% of TV watchers in a normally distributed dataset. To solve this, you would:1. Find the z-score corresponding to the top 20% (0.80 in the z-table for the bottom 80%).2. Use the z-score formula: \( z = \frac{X - \mu}{\sigma} \), where \( X \) is the cutoff value, \( \mu \) is the mean, and \( \sigma \) is the standard deviation.3. Solve for \( X \).**Conclusion:**Once calculated, this will give the number of hours of daily TV watching required for a person to be eligible for the interview.

Name: **Title: Determining Eligibility for a TV Watching Study****Introduct
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: **Title: Determining Eligibility for a TV Watching Study****Introduction:**A newspaper article reported that people spend a mean of 6.5 hours per day watching TV, with a standard deviation of 1.8 hours. A psychologist would like to conduct interview