Data on pull-off force (pounds) for connectors used in an automobile engine application are as follows: 79.3, 75.1, 78.2, 74.1, 73.9, 75.0, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.9, 72.9, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8. d) Calculate a point estimate of the proportion of all connectors in the population whose pull-off force is less than 73 pounds e) Construct a 95% one-sided upper confidence bound for the proportion in part(d). f) Construct a 95% two-sided confidence interval on the mean pull-off force. g) Construct a 95% lower confidence bound on the mean pull-off force. Compare this bound with the lower bound of the two-sided confidence interval and discuss why they are different.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 33PPS
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Data on pull-off force (pounds) for connectors used in an automobile engine application are as follows: 79.3, 75.1, 78.2, 74.1, 73.9, 75.0, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.9, 72.9, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8.

d) Calculate a point estimate of the proportion of all connectors in the population whose pull-off force is less than 73 pounds

e) Construct a 95% one-sided upper confidence bound for the proportion in part(d).

f) Construct a 95% two-sided confidence interval on the mean pull-off force.

g) Construct a 95% lower confidence bound on the mean pull-off force. Compare this bound with the lower bound of the two-sided confidence interval and discuss why they are different.

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