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13.) The monthly incomes for...

13.) The monthly incomes for 12 randomly selected people, each with bachelor’s degree in economics, are shown on the right:

4450.77 4596.43 4366.21

4455.62 4151.34 3727.06

4283.99 4527.57 4407.44

3946.36 4023.96 4221.74

a.) Find the sample mean

b.) Find the sample standard deviation.

c.) Construct a 95% confidence interval for the population mean. (___,___)

14.) For the standard normal distribution shown on the right, find the probability of z occurring in the indicated region. -1.91

15.) Find the z-score that has 48.4% of the distribution’s area to its left.

16.) Assume the random variable of x is normally distributed with mean=81 and standard deviation =5. Find the indicated probability. P(x<75) (Round to four decimal places as needed)

17.) Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 118 pounds and a standard deviation of 37.4 pounds. Random samples of size 17 are drawn from this population and the mean of each sample is determined.

18.) Find the indicated z-score shown in the graph to the right. area=0.9418

19.) The SAT is an exam used by colleges and universities to evaluate under graduates applicants. The test scores are normally distributed. In a recent year, the mean test score was 1505 and the standard deviation was 315. The test score of four students selected at random are 1952, 1294, 2233, and 1426. Complete parts (a) through (c).

a.) Without converting to z-scores, match the values with the letters A,B,C, and D on the given graph of the standard normal distribution. (I can do this part, I just need the answers to match it up with the graph)

b.) Find the z-score that corresponds to each value and check your answers to part (a).

Z(A)= z(B)= z(c)= z(d)=

c.) Determine whether any of the values are unusual. Select the correct answer below and, if necessary, fill in the answer boxes within your choice. (I’ll do this part as well….)

20.) In a recent year, scores on a standardized test for high school students with a 3.50 to 4.00 grade point average were normally distributed, with a mean of 37.5 and a standard deviation of 2.1. A student with a 3.50 to 4.00 grade point average who took standardized test is randomly selected.

a.) Find the probability of a student scoring less than 35 is (___)

b.) Find the probability of a student scoring between 33.7 and 41.3 is (___)

c.) Find the probability of a student scoring more than 39.4 is (___)

4450.77 4596.43 4366.21

4455.62 4151.34 3727.06

4283.99 4527.57 4407.44

3946.36 4023.96 4221.74

a.) Find the sample mean

b.) Find the sample standard deviation.

c.) Construct a 95% confidence interval for the population mean. (___,___)

14.) For the standard normal distribution shown on the right, find the probability of z occurring in the indicated region. -1.91

15.) Find the z-score that has 48.4% of the distribution’s area to its left.

16.) Assume the random variable of x is normally distributed with mean=81 and standard deviation =5. Find the indicated probability. P(x<75) (Round to four decimal places as needed)

17.) Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 118 pounds and a standard deviation of 37.4 pounds. Random samples of size 17 are drawn from this population and the mean of each sample is determined.

18.) Find the indicated z-score shown in the graph to the right. area=0.9418

19.) The SAT is an exam used by colleges and universities to evaluate under graduates applicants. The test scores are normally distributed. In a recent year, the mean test score was 1505 and the standard deviation was 315. The test score of four students selected at random are 1952, 1294, 2233, and 1426. Complete parts (a) through (c).

a.) Without converting to z-scores, match the values with the letters A,B,C, and D on the given graph of the standard normal distribution. (I can do this part, I just need the answers to match it up with the graph)

b.) Find the z-score that corresponds to each value and check your answers to part (a).

Z(A)= z(B)= z(c)= z(d)=

c.) Determine whether any of the values are unusual. Select the correct answer below and, if necessary, fill in the answer boxes within your choice. (I’ll do this part as well….)

20.) In a recent year, scores on a standardized test for high school students with a 3.50 to 4.00 grade point average were normally distributed, with a mean of 37.5 and a standard deviation of 2.1. A student with a 3.50 to 4.00 grade point average who took standardized test is randomly selected.

a.) Find the probability of a student scoring less than 35 is (___)

b.) Find the probability of a student scoring between 33.7 and 41.3 is (___)

c.) Find the probability of a student scoring more than 39.4 is (___)

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