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Statistics

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Homework

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758gevonf

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Student Name

Professor Name

MAT510

21 September 2019

Assignment 8 Answers

1. The 95 percent confidence interval for the difference between the proportions of

service contracts sold on treadmills versus exercise bikes.

Treadmill

Exercise Bike

Total Sold

185

123

Service Contracts

67

55

x1

n1

x2

n2

67

185

55

123

P1

P2

1-P1

1-P2

P1-P2

Std. Error

0,362162

0,447154

0,637838

0,552846

-0,08499

0,057083

z-score

Margin of Error

1,96

0,111882672

Lower Limit

Upper Limit

-0,196874982

0,026890363

The lower limit of the 95% confidence interval is = -0.08499-1.96*0.111882672 = -0.19687.

The upper limit of the 95% confidence interval is = -0.08499+1.96*0.111882672 = 0.02689.

The confidence interval is (-0.19687; 0.02689).

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1 Student Name Professor Name MAT510 16 September 2019 Assignment 8 Answers 1. The 95 percent confidence interval for the difference between the proportions of service contracts sold on treadmills versus exercise bikes. Treadmill 185 67 Total Sold Service Contracts x1 67 P1 0,362162 n1 185 P2 0,447154 1-P1 0,637838 Exercise Bike 123 55 x2 55 1-P2 0,552846 z-score 1,96 Lower Limit -0,196874982 n2 123 P1-P2 -0,08499 Std. Error 0,057083 Margin of Error 0,111882672 Upper Limit 0,026890363 The lower limit of the 95% confidence interval is = -0.08499-1.96*0.111882672 = -0.19687. The ...
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