# Question: A researcher claims that the variation in the salaries of

A researcher claims that the variation in the salaries of elementary school teachers is greater than the variation in the salaries of secondary school teachers. A sample of the salaries of 30 elementary school teachers has a variance of $8324, and a sample of the salaries of 30 secondary school teachers has a variance of $2862. At α = 0.05, can the researcher conclude that the variation in the elementary school teachers’ salaries is greater than the variation in the secondary school teachers’ salaries? Use the P-value method.

a. State the hypotheses and identify the claim.

b. Find the critical value(s).

c. Compute the test value.

d. Make the decision.

e. Summarize the results.

a. State the hypotheses and identify the claim.

b. Find the critical value(s).

c. Compute the test value.

d. Make the decision.

e. Summarize the results.

## Answer to relevant Questions

The weights in ounces of a sample of running shoes for men and women are shown. Calculate the variances for each sample, and test the claim that the variances are equal at α = 0.05. Use the P-value method. a. State the ...The average age of hospital inpatients has gradually increased to 52.5 years. Studies of two major health care systems found the following information. At the 0.05 level of significance is there sufficient evidence to ...Two large home improvement stores advertise that they sell their paint at the same average price per gallon.Arandom sample of 25 cans from storeYhad a standard deviation of $5.21, and store Z had a standard deviation of ...A study found a slightly lower percentage of lay teachers in religious secondary schools than in elementary schools. A random sample of 200 elementary school and 200 secondary school teachers from religious schools in a ...How is a linear relationship between two variables measured in statistics? Explain.Post your question