Find the standard normal area under the curve for each of the following:
27. (2 points) P(–1.22 < Z < 2.15)
A. 0.1370
B. 0.5000
C. 0.8730
D. None of the above
28. (2 points) P(Z > 0.50)
A. 0.3085
B. 0.7015
C. 0.5000
D. None of the above
29. (2 points) P(Z < 1.96)
A. .0250
B. 0.9750
C. 0.1960
D. None of the above
30. (4 points). Find a confidence interval for μ assuming that the sample is from a normal population with
known population standard deviation.
x = 20, σ = 3, n = 100, 95 percent confidence
A. (20.412 , 21.588)
B. (18.214 , 21.885)
C. (19.412 , 20.588)
D. None of the above
31. (4 points). Find a confidence interval for μ assuming that the sample is from a normal population with
unknown population standard deviation.
x = 40, s = 9, n = 20, 95 percent confidence
A. (52.788 , 54.212)
B. (35.788 , 44.212)
C. (34.887 , 45.212)
D. None of the above
32. (4 points). Find a confidence interval for μ assuming that the sample is from a normal population with
unknown population standard deviation.
x = 20, s = 3, n = 10, 95 percent confidence
A. (17.854 , 22.146)
B. (19.854 , 22.146)
C. (16.854 , 23.146)
D. None of the above
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Respuesta :

27. P(-1.22 < Z < 2.15) = 0.8730, so the answer is C.

28. P(Z > 0.50) = 0.3085, so the answer is B.

29. P(Z < 1.96) = 0.9750, so the answer is B.

30. Confidence interval with known population standard deviation is (20.412, 21.588), so the answer is A.

31. Confidence interval with unknown population standard deviation is (35.788, 44.212), so the answer is B.

32. Confidence interval with unknown population standard deviation is (17.854, 22.146), so the answer is A.