Obememe
26.03.2020 •
Mathematics
Suppose that college faculty with the rank of professor at two-year institutions earn an average of $64,571 per year with a standard deviation of $4,000. In an attempt to verify this salary level, a random sample of 60 professors was selected from a personnel database for all two-year institutions inthe United States and the average salary xwas calculated.
(1)Describe the sampling distribution of the sample mean x
(2)Within what limits would you expect the sample average to lie, with probability 0.95?
(3)If your random sample actually produced a sample mean of $66,000, would you consider this unusual? What conclusion might you draw? Hint: what is the probability of observing a samplemean larger than this?
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Ответ:
536.6
Step-by-step explanation:
First I found the area for the rectangles which is (15x10) multiplied by 3.
Then I found the area for the triangles which is A=(1/2)(8.66)(10). Which equals 43.3, then multiplied that by 2.
Add all the areas together (150)(3)+(43.3)(2)=536.6