# Suppose the number of equipment sales and service contracts that a store sold during the last six (6

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### Document Description

Suppose the number of equipment sales and service contracts that a store sold during the last six (6) months for treadmills and exercise bikes was as follows:

Total sold    185    123

Service contracts    67    55

The store can only sell a service contract on a new piece of equipment. Of the 185 treadmills sold, 67 included a service contract and 118 did not.

Complete the following questions in the space provided below:

1.  Construct a 95 percent confidence interval for the difference between the proportions of service contracts sold on treadmills versus exercise bikes.

2.  Is there a major difference between the two pieces of equipment? Why or why not?

## Written By

Studypool Tutor
Suppose the number of equipment sales and service contracts that a store sold during the last six (6) months for tTreadmill Exercise BikeTotal sold 185 123Service contracts 67 55The store can only sell a service contract on a new piece of equipment. Of the 185 treadmills sold, 67 included a sComplete the following questions in the space provided below:1. Construct a 95 percent confidence interval for the difference between the proportions of service contracts sold2. Is there a major difference between the two pieces of equipment? Why or why not?during the last six (6) months for treadmills and exercise bikes was as follows:oportions of service contracts sold on treadmills versus exercise bikes.X1 and X2n1 and n2P1P2(1-P1)(1-P2)Standard Z ValueP1*(1-P1)P2*(1-P2)[P1*(1-P1)]/n1[P2*(1-P2)]/n2(P1-P2)Treadmill671850.3622Exercise Bike551230.44720.63780.55281.96000.23100.24720.00120.0020-0.0850Confidence Interval of Difference between the ProportionsLower RangeHigher Range-0.19690.0269For determining whether there is difference between the two pieces of equipment, we have to conduct hypothesis test. If the restwo pieces of equipmentX1 and X2n1 and n2p1p2(1-p1)(1-p2)(p1-p2)n1*p1n2*p2(n1+n2)P Bar1/n11/n2P Bar*(1-P Bar)(1/n1 +1/n2)Treadmill671850.3622Exercise Bike55123i0.44720.63780.5528-0.085067553080.39610.00540.00810.23920.0135iiiiiivhave to conduct hypothesis test. If the r

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