A quantitative analysis teacher wants to see if there is any difference in the abilities of students enrolled in statistics in the summer and in the fall. Examination scores from a random sample of students enrolled this fall and from a random sample of students enrolled in the summer were selected. You are given the following information. x σ n Fall 74 17.06 35 Summer 84.77 19.01 28 Refer to Exhibit 10-30. What conclusion can be reached about the difference in the average final examination scores between the two classes? (Use a .05 level of significance.) There is a statistically significant difference in the average final examination scores between the two classes. There is no statistically significant difference in the average final examination scores between the two classes. It is impossible to make a decision on the basis of the information given. There is a difference, but it is not significant.

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Exhibit 10-30
A quantitative analysis teacher wants to see if there is any difference in the abilities of students enrolled in statistics in
the summer and in the fall. Examination scores from a random sample of students enrolled this fall and from a random
sample of students enrolled in the summer were selected. You are given the following information.
x
0
n
Fall
74
17.06
35
Summer
84.77
19.01
28
Refer to Exhibit 10-30. What conclusion can be reached about the difference in the average final examination scores
between the two classes? (Use a .05 level of significance.)
There is a statistically significant difference in the average final examination scores between the two classes.
There is no statistically significant difference in the average final examination scores between the two classes.
It is impossible to make a decision on the basis of the information given.
There is a difference, but it is not significant.
Transcribed Image Text:Exhibit 10-30 A quantitative analysis teacher wants to see if there is any difference in the abilities of students enrolled in statistics in the summer and in the fall. Examination scores from a random sample of students enrolled this fall and from a random sample of students enrolled in the summer were selected. You are given the following information. x 0 n Fall 74 17.06 35 Summer 84.77 19.01 28 Refer to Exhibit 10-30. What conclusion can be reached about the difference in the average final examination scores between the two classes? (Use a .05 level of significance.) There is a statistically significant difference in the average final examination scores between the two classes. There is no statistically significant difference in the average final examination scores between the two classes. It is impossible to make a decision on the basis of the information given. There is a difference, but it is not significant.
Expert Solution
Step 1

The following information has been given:

x¯1=74              x¯2=84.77σ1=17.06       σ2=19.01n1=35             n2=28

The level of significance is α=0.05.

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