Question

Julia thinks that women on the golf team have higher IQ’s than women on the squash...

Julia thinks that women on the golf team have higher IQ’s than women on the squash team. Which of the following is a correct statement about her hypothesis test?

a. What kind of statistical test should she use to analyze the data (2 pts)?

b. What will be her null and alternative hypothesis (4pts)?

c. Julia recruits 10 golf players and 8 squash players into her study. How many degrees of freedom does her test have (2pts)?

d. What is the critical value for this test (2pts)?

d. What is the independent variable in her study? What is the dependent variable? (4 points)

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

a.

We need to test for difference in IQ's of two independent samples of women in golf team and squash team.

Assuming that the IQ's of women in golf team and squash team follows Normal distribution, the statistical test to be used is two samples independent t test.

b.

Null Hypothesis H0: The difference of IQ's between women on the golf team and women on the squash team is zero.

Alternative Hypothesis Ha: The difference of IQ's between women on the golf team and women on the squash team is greater than zero.

c.

Assuming equal variances among two teams, degree of freedom = n1 + n2 - 2

= 10 + 8 - 2

= 16

d.

Critical value of the t value at 0.05 significance level and df = 16 is  1.746

e.

The independent variable in her study is the team to which the women belongs.

The dependent variable in her study is the IQ level of women.

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