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(A) You Can Be 95% Confident That the Mean Salary

question 81

Essay

(A) You can be 95% confident that the mean salary for all production managers with at least 15 years of experience is between what two numbers (the t-multiple with 8 degrees of freedom is 2.306). What assumption are you making about the distribution of salaries?

(B) What sample size would be needed to ensure that we could estimate the true mean salary of all production managers with more than 15 years of experience and have only 5 chances in 100 of being off by more than $4200?


Definitions:

Variance

A statistical measure of the dispersion or spread in a set of data points, indicating how much the values differ from the mean of the set.

Variance

A measure of variability that denotes the average of the squared differences from the mean, showing how widely the values in a data set are spread.

Squared Deviations

Values obtained by subtracting the mean from each data point in a set, squaring the result to eliminate negative numbers, used in variance calculation.

Aptitude Test

An examination designed to measure a person's ability to develop skills or acquire knowledge, predicting future performance.

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