In: Statistics and Probability
You are interested in whether students that have a male instructors perform differently on "e"s. To investigate this, you gather a sample of 5 students that have a male instructor and compare their "e"s average to the average of all instructors.
he data are below:
Male Instructors |
All Instructors |
x ̅=74.5 |
µ=76.8 |
s = 7.62 |
State your null and alternative hypothesis
Null: there is no difference (µ=76.8) |
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Null: There is difference (µ≠76.8) |
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Alternative: There is no difference (µ=76.8) |
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Alternative: There is difference (µ≠76.8) |
Draw your sampling distribution and establish the rejection region. What is your critical t-value when alpha is set at a=.05 (hint: you need to use the t-table)
+/- 3.747 |
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+/- 2.776 |
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- 2.132 |
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+ 2.132 |
Compute your t statistic (hint: need to use the new formula for one-sample t-s)
A: -0.20
B: -0.67
C: -1.49
D: 0.67
Do you reject or fail to reject your null hypothesis?
A: There is no significant differences between performance on "e" regardless of the sex of the instructor.
B: There is a significant difference between performance on "e" demonstrating that sex of the instructor contributes to this difference.