A customer in the wholesale garment trade is often entitled to a discount for a cash payment for goods. The amount of discount varies by vendor. A sample of 150 items selected from a population of 4,000 invoices at the end of a period of time revealed that in 13 cases, the customer failed to take the discount to which he or she was entitled. The amounts (in dollars) of the 13 discounts that were not taken were as follows: 6.45, 15.32, 97.36, 230.63, 104.18, 84.92, 132.76, 66.12, 26.55, 129.43, 88.32, 47.81, 89.01 Construct a 99% confidence interval estimate of the population total amount of discounts not taken

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A customer in the wholesale garment trade is often entitled to a discount for a cash payment for goods.
The amount of discount varies by vendor. A sample of 150 items selected from a population of 4,000
invoices at the end of a period of time revealed that in 13 cases, the customer failed to take the
discount to which he or she was entitled. The amounts (in dollars) of the 13 discounts that were not
taken were as follows:
6.45, 15.32, 97.36, 230.63, 104.18, 84.92, 132.76, 66.12, 26.55, 129.43, 88.32, 47.81, 89.01
Construct a 99% confidence interval estimate of the population total amount of discounts not taken

Expert Solution
Step 1

The 99% confidence interval can be determined using following formula:

99% confidence interval = x ± 2.576snwhere, x = sample means = standard deviationn = sample size

 

The mean and standard deviation can be determined using (=average) and (=stdev.s) command:

Sample mean (x) = 86.066

Sample standard deviation (s) = 59.285

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