Question

In: Statistics and Probability

You are interested in whether students that have a male instructors perform differently on "e"s. To...

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)

Null: There is difference (µ≠76.8)

Alternative: There is no difference (µ=76.8)

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

+/- 2.776

- 2.132

+ 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.

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