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"StatsPro" 16.Suppose a simple random sample...

"StatsPro"

16.Suppose a simple random sample of 150 students is drawn from a population of 3000 college students. Among sampled students, the average IQ score is 115 with a standard deviation of 10. What is the 99% confidence interval for the students' IQ score?

(A) 115 + 0.01

(B) 115 + 0.82

(C) 115 + 2.1

(D) 115 + 2.6

(E) None of the above.

18. The number of adults living in homes on a randomly selected city block is described by the following probability distribution.

Number of adults, x 1 2 3 4

Probability, P(x) 0.25 0.50 0.15 0.10

What is the standard deviation of the probability distribution?

(A) 0.50

(B) 0.62

(C) 0.79

(D) 0.89

(E) 2.10

19. Which of the following statements are true?

I. Random sampling is a good way to reduce response bias.

II. To guard against bias from undercoverage, use a convenience sample.

III. Increasing the sample size tends to reduce survey bias.

IV. To guard against nonresponse bias, use a mail-in survey.

(A) I only

(B) II only

(C) III only

(D) IV only

(E) None of the above

20. Twenty-two students were randomly selected from a population of 1000 students. The sampling method was simple random sampling. All of the students were given a standardized English test and a standardized math test. Test results are summarized below.

Student English Math Difference, d (d - d)2

1 95 90 5 16

2 89 85 4 9

3 76 73 3 4

4 92 90 2 1

5 91 90 1 0

6 53 53 0 1

7 67 68 -1 4

8 88 90 -2 9

9 75 78 -3 16

10 85 89 -4 25

11 90 95 -5 36

Student English Math Difference, d (d - d)2

12 85 83 2 1

13 87 83 4 9

14 85 83 2 1

15 85 82 3 4

16 68 65 3 4

17 81 79 2 1

18 84 83 1 0

19 71 60 11 100

20 46 47 -1 4

21 75 77 -2 9

22 80 83 -3 16

Σ(d - d)2 = 270

d = 1

What is the 90% confidence interval for the mean difference between student scores on the math and English tests? Assume that the mean differences are approximately normally distributed.

(A) 1 + 0.8

(B) 1 + 1.0

(C) 1 + 1.3

(D) 1 + 2.0

(E) 1 + 3.6

16.Suppose a simple random sample of 150 students is drawn from a population of 3000 college students. Among sampled students, the average IQ score is 115 with a standard deviation of 10. What is the 99% confidence interval for the students' IQ score?

(A) 115 + 0.01

(B) 115 + 0.82

(C) 115 + 2.1

(D) 115 + 2.6

(E) None of the above.

18. The number of adults living in homes on a randomly selected city block is described by the following probability distribution.

Number of adults, x 1 2 3 4

Probability, P(x) 0.25 0.50 0.15 0.10

What is the standard deviation of the probability distribution?

(A) 0.50

(B) 0.62

(C) 0.79

(D) 0.89

(E) 2.10

19. Which of the following statements are true?

I. Random sampling is a good way to reduce response bias.

II. To guard against bias from undercoverage, use a convenience sample.

III. Increasing the sample size tends to reduce survey bias.

IV. To guard against nonresponse bias, use a mail-in survey.

(A) I only

(B) II only

(C) III only

(D) IV only

(E) None of the above

20. Twenty-two students were randomly selected from a population of 1000 students. The sampling method was simple random sampling. All of the students were given a standardized English test and a standardized math test. Test results are summarized below.

Student English Math Difference, d (d - d)2

1 95 90 5 16

2 89 85 4 9

3 76 73 3 4

4 92 90 2 1

5 91 90 1 0

6 53 53 0 1

7 67 68 -1 4

8 88 90 -2 9

9 75 78 -3 16

10 85 89 -4 25

11 90 95 -5 36

Student English Math Difference, d (d - d)2

12 85 83 2 1

13 87 83 4 9

14 85 83 2 1

15 85 82 3 4

16 68 65 3 4

17 81 79 2 1

18 84 83 1 0

19 71 60 11 100

20 46 47 -1 4

21 75 77 -2 9

22 80 83 -3 16

Σ(d - d)2 = 270

d = 1

What is the 90% confidence interval for the mean difference between student scores on the math and English tests? Assume that the mean differences are approximately normally distributed.

(A) 1 + 0.8

(B) 1 + 1.0

(C) 1 + 1.3

(D) 1 + 2.0

(E) 1 + 3.6

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