Show all work and solutions 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, and 76.8. (a) Calculate a point estimate of the mean pull-off force of all connectors in the population. State which estimator you used and why. (b) Calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectors in the population from the strongest 50%.
Show all work and solutions
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, and 76.8.
(a) Calculate a point estimate of the mean pull-off force of all connectors in the
population. State which estimator you used and why.
(b) Calculate a point estimate of the pull-off force value that separates the weakest 50%
of the connectors in the population from the strongest 50%.
(c) Calculate point estimates of the population variance and the population standard
deviation.
(d) Calculate the standard error of the point estimate found in part (a). Provide an
interpretation of the standard error.
(e) Calculate a point estimate of the proportion of all connectors in the population
whose pull-off force is less than 73 pounds.
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