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1. A statistician studies the average annual salary of professors in a local college in Florida....

1. A statistician studies the average annual salary of professors in a local college in Florida.
<a> Based on a random sample of 33 professors in this college, we found the mean salary is 52,000, and standard deviation is 6,400. Construct a 99% confidence interval for the population’s mean annual salary.


<b> Based on another random sample of size 28, we found the mean salary is 54,500, and if we know the standard deviation of all professors in that college is 7,200. Construct a 84% confidence interval for the population’s mean annual salary. State the confidence statement.

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