You Explain It Sleeping A 90 confidence interval for the num

You Explain It! Sleeping A 90% confidence interval for the number of hours that full-time college students sleep during a weekday is lower bound: 7.8 hours and upper bound: 8.8 hours. Which of the following represents a reasonable interpretation of the result? For those that are not reasonable, explain the flaw.

(a) 90% of full-time college students sleep between 7.8 hours and 8.8 hours.

(b) We are 90% confident that the mean number of hours of sleep that full-time college students get any day of the week is between 7.8 hours and 8.8 hours.

(c) There is a 90% probability that the mean hours of sleep that full-time college students get during a weekday is between 7.8 hours and 8.8 hours.

(d) We are 90% confident that the mean hours of sleep that full-time college students get during a weekday is between 7.8 hours and 8.8 hours.

Solution

A is flawed as 90% isn\'t the proportion of students rather the confidence interval

B is flawed as it says anyday of the week. it should be only weekday

C is flawed as 90% is n\'t the probability rather it is the stastical significance

D is correct