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. a. Calculate a point estimate of the proportion of all connectors in the population whose pull-off force is less than 73 pounds. b. Construct a 95% one-sided upper confidence bound for the proportion in part(a). c. Construct a 95% two-sided confidence interval on the mean pull-off force. d. 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.
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. a. Calculate a point estimate of the proportion of all connectors in the population whose pull-off force is less than 73 pounds. b. Construct a 95% one-sided upper confidence bound for the proportion in part(a). c. Construct a 95% two-sided confidence interval on the mean pull-off force. d. 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.
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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.a. Calculate a point estimate of the proportion of all connectors in the population whose pull-off force is less than 73 pounds.
b. Construct a 95% one-sided upper confidence bound for the proportion in part(a).
c. Construct a 95% two-sided confidence interval on the mean pull-off force. d. 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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