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Our method of calculating a 95 percent confidence interval for the mean u of a normal population, with known variance o2, is 1.960 1.960 Xn+ This method of creating an interval has the property that a single SRS of size n will provide an interval that will containing u with 0.95 probability. If five different individuals select 5 independent samples, each of size n, and obtain their resulting five interval estimates of 4, (i) what is the probability that u will belong to all five of them: (ii) None will contain µ? (iii) What is the probability that at least one of the intervals will contain µ? The following ^answers" have been proposed. (a) (i) (0.95)5, (ii) (0.95)5, (iii) (0.95)5. (b) (i) (0.05)5, (ii) 1– (0.05)5, (iii) (0.95)5, (c) (i) 1 – (0.05)5, (ii) (0.05)5, (iii) (0.95)5. (d) (i) (0.95)5, (ii) (0.05)5, (iii) 1 – (0.05)5. (e) None of the above. The correct answer is (a) (b) (d) (e) N/A (Select One)

Our method of calculating a 95 percent confidence interval for the mean u of a normal population, with known variance o2, is 1.960 1.960 Xn+ This method of creating an interval has the property that a single SRS of size n will provide an interval that will containing u with 0.95 probability. If five different individuals select 5 independent samples, each of size n, and obtain their resulting five interval estimates of 4, (i) what is the probability that u will belong to all five of them: (ii) None will contain µ? (iii) What is the probability that at least one of the intervals will contain µ? The following ^answers" have been proposed. (a) (i) (0.95)5, (ii) (0.95)5, (iii) (0.95)5. (b) (i) (0.05)5, (ii) 1– (0.05)5, (iii) (0.95)5, (c) (i) 1 – (0.05)5, (ii) (0.05)5, (iii) (0.95)5. (d) (i) (0.95)5, (ii) (0.05)5, (iii) 1 – (0.05)5. (e) None of the above. The correct answer is (a) (b) (d) (e) N/A (Select One)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Our method of calculating a 95 percent confidence interval for the mean µ of a normal population, with known variance o2, is 1.960 1.960 Xn Xn + This method of creating an interval has the property that a single SRS of size n will provide an interval that will containing u with 0.95 probability. If five different individuals select 5 independent samples, each of size their resulting five interval estimates of 4, (i) what is the probability that u will belong to all five of them: (ii) None will contain µ? (iii) What is the probability that at least one of the intervals will contain u? and obtain п, The following``answers" have been proposed. (a) (i) (0.95)5, (ii) (0.95)5, (iii) (0.95)5. (b) (i) (0.05)5, (ii) 1– (0.05)5, (iii) (0.95)5, (c) (i) 1 – (0.05)5, (ii) (0.05)5, (iii) (0.95)5. (d) (i) (0.95)5, (ii) (0.05)5, (iii) 1 – (0.05)5. (e) None of the above. The correct answer is (a) (b) (c) (d) (e) N/A (Select One)
Transcribed Image Text:Our method of calculating a 95 percent confidence interval for the mean µ of a normal population, with known variance o2, is 1.960 1.960 Xn Xn + This method of creating an interval has the property that a single SRS of size n will provide an interval that will containing u with 0.95 probability. If five different individuals select 5 independent samples, each of size their resulting five interval estimates of 4, (i) what is the probability that u will belong to all five of them: (ii) None will contain µ? (iii) What is the probability that at least one of the intervals will contain u? and obtain п, The following``answers" have been proposed. (a) (i) (0.95)5, (ii) (0.95)5, (iii) (0.95)5. (b) (i) (0.05)5, (ii) 1– (0.05)5, (iii) (0.95)5, (c) (i) 1 – (0.05)5, (ii) (0.05)5, (iii) (0.95)5. (d) (i) (0.95)5, (ii) (0.05)5, (iii) 1 – (0.05)5. (e) None of the above. The correct answer is (a) (b) (c) (d) (e) N/A (Select One)
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