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# One, Two-Sample Tests of Hypothesis, Variance, Chi-square

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Exercises 23 and 28 (Ch. 12)

23. A real estate agent in the coastal area of Georgia wants to compare the variation in the
selling price of homes on the oceanfront with those one to three blocks from the ocean.
A sample of 21 oceanfront homes sold within the last year revealed the standard deviation
of the selling prices was \$45,600. A sample of 18 homes, also sold within the last
year, that were one to three blocks from the ocean revealed that the standard deviation
was \$21,330. At the .01 significance level, can we conclude that there is more variation
in the selling prices of the oceanfront homes?

28. The following is a partial ANOVA table.

Source Sum of Squares df Mean Square F

Treatment A 2 A A
Error A A 20 A
Total 500 11 A A

Complete the table and answer the following questions. Use the .05 significance level.
a. How many treatments are there?
b. What is the total sample size?
c. What is the critical value of F?
d. Write out the null and alternate hypotheses.
e. What is your conclusion regarding the null hypothesis?