(1 point) Starting salaries of 135 college graduates who have taken a statistics course have a mean of $42,583. The population standard deviation is known to be $9,171. Using 99% confidence, find both of the following:
A. The margin of error:
B. Confidence interval: ,
Sample Size (n) = | 135 |
Population Standard Deviation (SD) = | 9171 |
Mean = | 42583 |
Ans A
Z score for 99% confidence = | 2.58 |
Margin of Error = (2.58 * 9171)/(135)^(1/2) = | 2036.43 |
Ans B
Confidence Interval = Mean +/- (margin of Error) | |
Lower End of the Interval = Mean - (margin of Error) = | 40546.57 |
Upper End of the Interval = Mean + (margin of Error) = | 44619.43 |
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