1) A consumer organization wants to know whether there is a difference in the price of a particular toy at three different types of stores. The price of the toy was checked in a sample of five discount stores, five variety stores, and five department stores. The results are shown below. Use the .05 significance level.
2) A six-sided die is rolled 30 times and the numbers 1 through 6 appear as shown in the following frequency distribution. At the .10 significance level, can we conclude that the die is fair?
3) The following hypotheses are given:
H0: Forty percent of the observations are in category A, 40 percent are in B, and 20 percent are in C.
H1: The observations are not as described in H0.
We took a sample of 60, with the following results.
a. State the decision rule using the .01 significance level.
b. Compute the value of chi-square.
c. What is your decision regarding H0?
See attached file for full problem description.
The solution discusses consumer organization and statistics.