Question

The Walton College was ranked number 24 among all public business schools in the U.S. The dean attributes this ranking in part to the high academic standards maintained in the courses taught in the new curriculum. In the past business students averaged 6.8 hours of studying per week, and the dean believes that in the new curriculum they study more. To evaluate this theory, he gathers data from a random sample of 100 business students and asks them how many hours per week they study. From his sample he gets a mean = 7.2 and a sample standard deviation = 2.2.

What would be the correct decision if you used a significance level of .05?

Reject the alternative hypothesis

Do not reject null hypothesis

Reject the null hypothesis and conclude that students are now studying more

Conclude that there is no significant difference in how much students study

Answer 1

Solution :

This is the right tailed test .

The null and alternative hypothesis is ,

H₀ :   = 6.8

H_a : > 6.8

= 7.2

= 6.8

s = 2.2

n = 100

Test statistic = t

= ( - ) / s / n

= (7.2 - 6.8) / 2.2 / 100

= 1.82

Test statistic = 1.82

P-value = 0.0359

= 0.05

P-value <

Reject the null hypothesis .

Reject the null hypothesis and conclude that students are now studying more .