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# Descriptive Statistics and Normal Probability

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1. According to the 2009 National Survey on Drug use and Health, among people age 12 or older who reported using pain reliever non-medically in the past year, 70% got the drugs from a friend or relative (either for free, purchased, or by theft) Another 18 percent reported getting the drugs from a one doctor. With the following numbers use the age groups listed to determine the mean to determine the targeted age group.

Male Female
12 15
13 16
14 18
15 19
16 21
17 24
18 26
19 30
22 32
23 36
24 39
25 42
28 44
30 47
32 49
37 51
40 53
43 56
50 60

A) What is the variance for male?
B) What is the variance for female?
C) What is the targeted age group?
D) Graph the results of male and female variance

2.
The following are two competitors' laboratories. Follow normal distribution.
Laboratory 1 the mean is \$38,000 with a standard deviation of \$13,000.
Laboratory 2 the mean is \$56,000 with a standard deviation of \$21,000.

a) What proportion of laboratory 1 is below the mean of laboratory 2?
b) What is the average earning of laboratory 1 showing 12% of cost?
c) What are the earning of laboratory 2 that shows the lowest of 7% of?