Research has shown that good motion and strength in athletes result in improved preformance and decreased body stress.Investigators reported on a baseball study involving random samples of 15 professional pitchers and 15 profesional position players.For the pitchers, the sample mean leg range of motion in degrees) was 75.6 with a sample standard deviation of 5.9, whereas the sample mean and sample standard deviation for position players were 79.6 and 7.6, respectively.

Assume: The leg range of motion follows a normal distribution.

Group 1 = Professional pitchers

Group 2 = Professional postion players

The value of the statistic for the equality of variances is 4.789. If the critical values are 1/3.15 and 3.15.

1. A point estimate of the difference in the mean leg range motion betweenprofessional pitchers and professional position players is?
2. Suppose the upper limit of a 90% confidence interval of the difference in the mean leg range of motion between professional pitchers and professional position players is 3.77.The width of the interval is?
3. The study would like to test if the mean leg range of motion is higher in the group of professional position players.The hypotheses to be used would be?
4. Assume the population variances are unequal.The value of the test statistic for the null hypothesis in Question 3 is?
5. If the statistic for the null hypothesis in Question 3 is -2.4, the p-value for the test at a 1% level of significance is?