MATH 533 Final Exm

MATH 533 Final Exm

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1. (TCO A)Consider the following sample data on the age of the 30 employees that were laid off recently from DVC Inc.

21         38         20         26         37         52         37         24         45         20
50         49         44         30         29         42         56         46         60         30
32         25         47         55         38         25         20         29         32         30

a. Compute the mean, median, mode, and standard deviation, Q₁, Q₃, Min, and Max for the above sample data on age of employees being laid off.
b. In the context of this situation, interpret the Median, Q₁, and Q₃. (Points : 33)

2. (TCO B) Consider the following data on newly hired employees in relation to which part of the country they were born and their highest degree attained.
 

	HS	BS	MS	PHD	Total
East	3	5	2	1	11
Midwest	7	9	2	0	18
South	5	8	6	2	21
West	1	7	8	6	22
Total	16	29	18	9	72

If you choose one person at random, then find the probability that the person

a. has a PHD.
b. is from the East and has a BS as the highest degree attained.
c. has only a HS degree, given that person is from the West. (Points : 18)

3. (TCO B) Squib claims that its new pain reliever is effective in giving relief for headaches within 10 minutes for 95% of users. A random sample of 25 patients is selected. Assuming Squibb is correct, then find the probability that

a. exactly 23 patients obtain relief within 10 minutes.
b. more than 23 patients obtain relief within 10 minutes.
c. at most 22 patients obtain relief within 10 minutes. (Points : 18)