An admissions officer has determined that the population of applicants to the mba program has undergraduate gpa’s that are approximately normally distributed with standard deviation 0.45. a random sample of 25 applicants for next fall has a sample mean gpa of 3.30. find the 95% confidence interval for the mean gpa among applicants to this mba.

Step-by-step explanation:

(a) Given : Sample size : , which is less than 30 so we use t-test.

Sample mean :

Standard deviation :

Significance level :

Critical value :

The confidence interval for population mean is given by :-

Hence, the 95% confidence interval for the mean GPA among applicants to this MBA =

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.

60: 45 =12: 9 =4: 3 so the answer is 4: 3