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 than73 pounds.