Question

In: Statistics and Probability

Part II. Indicate whether you would perform a z test, two-sample t test, paired t test,...

Part II. Indicate whether you would perform a z test, two-sample t test, paired t test, or ANOVA for the following research question? All the outcomes are continuous variables.  

  1. A group of adolescent boys was offered interpersonal skills counseling and then tested in September and May to see if there was any impact on family harmony.
  2. 3 groups of participants were exposed to different levels of treatment for ankle sprain. Which treatment was more effective?
  3. 1 group of men was provided access to an exercise program and tested two times over a 6-month period for heart health.
  4. The principal at a school claims that the students in his school are above average intelligence. A random sample of 30 students’ IQ scores have a mean score of 112.5. Is there sufficient evidence to support the principal’s claim?

Solutions

Expert Solution

A group of adolescent boys was offered interpersonal skills counseling and then tested in September and May to see if there was any impact on family harmony.

Same subjects are tested in two months to see if there was any impact on family harmony so we have paired data. So paired t test will be used.

Correct option:  paired t test

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3 groups of participants were exposed to different levels of treatment for ankle sprain. Which treatment was more effective?

Answer: Here we need to more than teo population means so one way ANOVA will be used.

Correct option:  ANOVA

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1 group of men was provided access to an exercise program and tested two times over a 6-month period for heart health.

Same subjects are tested two times over a 6-month period for heart health so we have paired data. So paired t test will be used.

Correct option:  paired t test

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The principal at a school claims that the students in his school are above average intelligence. A random sample of 30 students’ IQ scores have a mean score of 112.5. Is there sufficient evidence to support the principal’s claim?

We need to make about single population mean so z test should be used.

Correct option: z test


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