The NCAA is interested in estimating the difference in mean number of daily training hours for men and women athletes on college campuses.It wants 95 percent confidence and will select a sample of 10 men and 10 women for the study.The variances are assumed equal and the populations normally distributed.The sample results are: Based on these data,the lower limit for the difference between population means is 0.15 hours.

Question

The NCAA is interested in estimating the difference in mean number of daily training hours for men and women athletes on college campuses.It wants 95 percent confidence and will select a sample of 10 men and 10 women for the study.The variances are assumed equal and the populations normally distributed.The sample results are:  Based on these data,the lower limit for the difference between population means is 0.15 hours.

Quizplus · Accepted Answer

To find the confidence interval for the difference in means, we can use the two-sample t-test. Using a t-distribution table with 18 degrees of freedom and a 95% confidence level, the critical value is about 2.101.

Using this value and the sample data, we can calculate the confidence interval for the difference in means to be (-1.942, 0.842) hours.

Since the lower limit of the confidence interval is negative (-1.942 hours), we cannot say that the difference in mean number of daily training hours is at least 0.15 hours. Hence, the answer is false.

The NCAA Is Interested in Estimating the Difference in Mean