Question 1

An advertising research department of a television manufacturing company has chosen seven cities. It is believe that each city has the same sale potential. The actual number of television sets sold by the company in each city, during a one-month period is given in the following table.

City	A B C D E F G
No of sets sold	120 185 260 190 210 175 260

Test the hypothesis that the seven cities have equal sale potential using a level of significance of = 0.05.

Question 2

Home Mail Corporation sells products by mail. The companys management wants to find out if the number of orders received at the companys office on each of the five days of the week is the same. The company took a sample of 400 orders received during a four-week period. The following table lists the frequency distribution for these orders by the day of the week.

Day of the week Mon Tue Wed Thu Fri

Number of orders received 92 71 65 83 89

Test at the 5% significant level whether the null hypothesis that the orders are evenly over all days of the week is true.

Question 3

The following table lists the frequency distribution for 60 rolls of a dice.

Outcome 1-spot 2-spot 3-spot 4-spot 5-spot 6-spot

Frequency 7 12 8 15 11 7

Test at the 5% significant level whether the null hypothesis that the given dice is fair is true.