Problem 89

Given information

Suppose a statistics instructor believes that there is no significant difference between the mean class scores of statistics day students on  and statistics night students on   . She takes random samples from each of the populations.

The mean and standard deviation for  statistics day students were  and . The mean and standard deviation

for  statistics night students were  and . The “day” subscript refers to the statistics day students. The “night”

   There is sufficient evidence to conclude that statistics night students' mean on Exam 2 is better than the statistics

   There is insufficient evidence to conclude that the statistics day students' mean on Exam 2 is better than the

   There is insufficient evidence to conclude that there is a significant difference between the means of the statistics

   There is sufficient evidence to conclude that

Step-by-step explanation

The null and alternate hypotheses are as follows:

Press STAT and to get the value.

TESTS must be selected twice.

Once you've completed all of the sample entries, hit to get the following results:

The relevance of the test level is  

Therefore,

The null hypothesis should not be rejected.

The answer is because there is insufficient data to determine that the means of the statistics for day and night students on differ significantly.