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Homework answers / question archive / 1) A population consists of the following five values: 12, 12 14, 15, and 20
1) A population consists of the following five values: 12, 12 14, 15, and 20.
Sample 
Values 
Sum 
Mean 
1 
12,12,14 
38 
12.66 
2 
12,12,15 
39 
13 
3 
12,12,20 
44 
14.66 
4 
14,15,20 
49 
16.33 
5 
12,14,15 
41 
13.66 
6 
12,14,15 
41 
13.66 
7 
12,15,20 
47 
15.66 
8 
12,15,20 
47 
15.66 
9 
12,14,20 
46 
15.33 
10 
12,14,20 
46 
15.33 
2) In the law firm Tybo and Associates, there are six partners. Listed below is the number of cases each associate actually tried in court last month.
Sample 

Cases 
sum 
Mean 





Ruud, Wu, Saas 
3,6,3 
12 
4 

Ruud, Sass, Flores 
3,3,3 
9 
3 

Ruud, Flores, Wilhelms 
3,3,0 
6 
2 

Ruud, Wilhelms, Schueller 
3,0,1 
4 
1.33 

Wu, Flores Ruud 
6,3,3 
12 
4 

Wu, Sass, Flores 
6,3,3 
12 
4 

Wu, Flores, Wilhelms 
6,3,0 
9 
3 

Wu, Wilhelms, Schueller 
6,0,1 
7 
2.33 

Sass, Flores, Wilhelms 
3,3,0 
6 
2 

Saas, Ruud, Flores 
3,3,3 
9 
3 

Saas, Wilhelms, Schueller 
3,0,1 
4 
1.33 

Flores, Wilhelms, Schueller 
3,0,1 
4 
1.33 

Flores, Wilhelms, Ruud 
3,0,3 
6 
2 

Wilhelms,Ruud, Wu 
0,3,6 
9 
3 

Wilhelms, Ruud, Saas 
0,3,3 
6 
2 

Schueller, Flores, Saas 
1,3,3 
7 
2.33 

Schueller, Flores, Wu 
1,3,6 
10 
3.33 

Schueller, Flores, Ruud 
1,3,3 
7 
2.33 

Wilhelms, Saas, Wu 
0,3,6 
9 
3 

Flores, Wilhelms, Saas 
3,0,3 
6 
2 

Saas, Flores, Schueller 
3,3,1 
7 
2.33 





3) A normal population has a mean of 60 and a standard deviation of 12. You select a random sample of 9. Compute the probability the sample mean is:
4.) A normal population has a mean of 75 and a standard deviation of 5. You select a sample of 40. Compute the probability the sample mean is:
5.) According to an IRS study, it takes a mean of 330 minutes for taxpayers to prepare, copy, and electronically file a 1040 tax form. This distribution of times follows the normal distribution and the standard deviation is 80 minutes. A consumer watchdog agency selects a random sample of 40 taxpayers.
6.) Recent studies indicate that the typical 50yearold woman spends $350 per year for personalcare products. The distribution of the a mounts spent follows a normal distribution with a standard deviation of $45 per year. We select a random sample of 40 women. The mean amount spent for those sampled is $335. what is the likelihood of finding a sample mean this large or larger from the specified population? 0.9826
7.) Information from the American Institute of Insurance indicates the mean amount of life insurance per household in the United States is $110,000. This distribution follows the normal distribution with a standard deviation of $40,000.
8.) The mean age at which men in the United States marry for the first time follows the normal distribution with a mean of 24.8 years. The standard deviation of the distribution is 2.5 years. For a random sample of 60 men, what is the likelihood that the age at which they were married for the first time is less than 25.1 years?
9.) Over the past decade the mean number of members of the Information Systems Security Association who have experienced a denialofservice attack each year is 510 with a standard deviation of 14.28 attacks. Suppose nothing in this environment changes.
10.) The Oil Price Information Center reports the mean price per gallon of regular gasoline is $3.79 with a population standard deviation of $0.18. Assume a random sample of 40 gasoline stations is selected and their mean cost for regular gasoline is computed.
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