Question

Answer the questions as indicated for scenarios 1-5. Note: You do not need to perform any of the procedures indicated.

Scenario 3: A guidance counselor identifies a random sample of 40 high school female students and gives each of these students a vocabulary test. For the female group, the average vocabulary score was 69 with a standard deviation of 5.3. Next, the guidance counselor takes a random sample of 48 male high school students. The male students also complete the vocabulary test. This group had an average vocabulary score of 64 with a standard deviation of 5.6. What is a 90% confidence interval estimate for difference in average vocabulary test score between female and male students at this school?

A. Indicate whether the inference procedure needed is a confidence interval or a significance test.

B. Indicate whether the procedure involves one or two samples.

C. Name the inference method needed to answer the question posed.

D. Verify whether or not the conditions have been met for this inference procedure. Specifically, you need to list each condition and then explain how the condition was or was not met.

E. Determine if it is appropriate to perform the significance test or confidence interval (yes/no).

Answer 1

A. Indicate whether the inference procedure needed is a confidence interval or a significance test.

Confidence interval

B. Indicate whether the procedure involves one or two samples.

Two samples

C. Name the inference method needed to answer the question posed.

Two-sample mean t-test

D. Verify whether or not the conditions have been met for this inference procedure. Specifically, you need to list each condition and then explain how the condition was or was not met.

Conditions for conducting two-sample t-test for means:

1.) Parent populations from which samples are drawn are normally distributed.
2.) The two samples are random and independent of each other.
3.) Population variances are equal and unknown.

All the conditions are met.

E. Determine if it is appropriate to perform the significance test or confidence interval (yes/no).

yes