the admissions officer at a small college compares the scores on the Solo La stic Aptitude (SAT) for the school's male and female applicants. A random sample of 7 male applicants results in a Sat scoring mean of 1170 with a standard deviation of 41. A random sample of 12 female applicants results in a SAT scoring mean of 1247 with a standard deviation of 33/ Using this dat, Find the 80% confidence interval for the true mean difference between the scoring mean for male applicants and female applicants. Assume that the population variances are not equal and that the two populations are normally distributed.

1. Find the critical value ( 3 decimal places)

2. Find the standard error of the sampling distribution to be used in constructing the confidence interval (nearest whole number)

3. construct 80% confidence interval (nearest whole number)

lower end point: upper end point: