# Project #17886 - Confidence interval

Refer to the spreadsheet entitled defects.xlsx for this question.

The data in the spreadsheet outlines the defect rate of a machine over the past 50

production runs. It is estimated that the cost of obtaining this data is \$40 per production

run.

a. Using the sampling technique taught in this course, compute a 95% confidence interval

estimate of the population average defect rate of this machine.

b. The manager expect the confidence interval to be a range no wider than 1% (That is,

c. In order to meet the requirement in part b while maintaining the same level of

confidence, what is the minimum budget required?

d. Demonstrate mathematically that the budget computed in part c is sufficient to produce

a 95% confidence interval no wider than 1%.

Defect.xcl

 Production Run Defect Rate 1 0.06 2 0.11 3 0.01 4 0.08 5 0.16 6 0.08 7 0.14 8 0.07 9 0.02 10 0.07 11 0.06 12 0.18 13 0.15 14 0.12 15 0.06 16 0.19 17 0.11 18 0.04 19 0.18 20 0.04 21 0.10 22 0.19 23 0.03 24 0.01 25 0.10 26 0.05 27 0.18 28 0.03 29 0.11 30 0.16 31 0.18 32 0.17 33 0.14 34 0.14 35 0.02 36 0.03 37 0.07 38 0.08 39 0.14 40 0.14 41 0.20 42 0.14 43 0.19 44 0.18 45 0.13 46 0.09 47 0.15 48 0.08 49 0.07 50 0.03

 Subject Mathematics Due By (Pacific Time) 11/28/2013 12:00 pm
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