In a random sample of 23 people, the mean commute time to workwas 30.3 minutes and the standard deviation was 7.1 minutes. Assumethe population is normally distributed and use a? t-distribution toconstruct a 98?% confidence interval for the population mean .Whatis the margin of error of f ??? Interpret the results.
(a)The confidence interval for the population mean is _,_ ?(Round to one decimal place as? needed.)
(b)The margin of error is _ ?(Round to two decimal places as?needed.)
(c) Interpret the results. Choose the correct answer below:
1. It can be said that 95?% is between the bounds of theconfidence interval.
2.With 95?% confidence, it can be said that the population meanis between the bounds of the confidence interval.
3.With 95?% confidence, it can be said that is between thebounds of the confidence interval.
4.If a large sample is taken approximately 95?% of them arebetween the bounds of the confidence interval.
