Data were collected on annual personal time (in hours) taken by a random sample of 16 women and 7 men employed by a medium sized company.The women took an average of 24.75 hours of personal time per year with a standard deviation of 2.84 hours.The men took an average of 21.89 hours of personal time per year with a standard deviation of 3.29 hours.The correct 90% confidence interval for the difference between women and men in the average number of hours of personal time taken per year is ________________________ .
A)0.30 to 5.48 hours
B)-0.50 to 3.21 hours
C)-4.67 to -0.62 hours
D)1.27 to 6.89 hours
E)None of the above.

Question

Quizplus · Accepted Answer

The correct 90% confidence interval for the difference between the average number of hours of personal time taken per year by women and men can be calculated using the formula for the confidence interval of the difference between two means. Given the sample sizes, means, and standard deviations for both groups, the calculation will yield the interval from 0.30 to 5.48 hours, indicating that, with 90% confidence, the true difference in the average number of hours of personal time taken per year between women and men lies within this range.

Data Were Collected on Annual Personal Time (In Hours) Taken