1. The MW Soda Company sets up ‘‘taste tests’’ in 27 locations around the country in order to determine the public’s relative preference for two brands of cola, A and B. In eight locations brand A is...

1. The MW Soda Company sets up ‘‘taste tests’’ in 27 locations around the country in order to determine the public’s relative preference for two brands of cola, A and B. In eight locations brand A is preferred over brand B, in 17 locations brand B is preferred over brand A, and in the remaining locations there is indifference. Can one conclude at the 0.05 significance level that brand B is preferred over brand A?

2. The breaking strengths of a random sample of 25 ropes made by a manufacturer are given in Table 17.31. On the basis of this sample, test at the 0.05 significance level the manufacturer’s claim that the breaking strength of a rope is (a) 25, (b) 30, (c) 35, and (d ) 40.

1. Show how to obtain 95% confidence limits for the data in Problem 17.4.

Make up and solve a problem involving the sign test.