A professor believes the students in a statistics class this term are more creative than most other students attending the university. A previous study found that students at the university had a mean score of 35 on a standard creativity test, and the current class has an average score of 40 on this scale with an estimated population standard deviation of 7. The standard deviation of the distribution of means is 1.63.
-If there were 30 students in the class and the professor wanted to test the null hypothesis described in the scenario using the 5% level of significance,the cutoff t score would be
A)35.000
B)1.699
C)-0.113
D)-2.500

Question

Quizplus · Accepted Answer

The cutoff t score for a one-tailed test at the 5% level of significance with 29 degrees of freedom (n-1, where n is the sample size of 30) is approximately 1.699. This value is used to determine if the sample mean significantly differs from the population mean under the null hypothesis.

A Professor Believes the Students in a Statistics Class This