Confidence Interval       A simple random sample of 56 students who picked up all tests they completed was selected, and the mean score on final exam for this sample of students was 83 with a standard deviation of 10.4. An independent simple random sample of 51 students who had one or more tests that were not picked up was selected, and the mean score on the final exam for this sample of students was 67 with a standard deviation of 24.2. Both distributions are skewed heavily to the left [note: this is the same information provided in question above]. If appropriate, use this information to calculate and interpret a 99% confidence interval for the difference in the mean score on the final exam for all students who picked up all their tests and the mean score on the final exam for all students who had one or more tests that were not picked up.   What are the confidence interval values using 99% confidence? a)  (6.6985,   25.302) b) (11.615,   26.385) c)  (6.568,     25.434) d)  (13.506,    20.494) e) (6.2876,   25.712)   Which of the following is a correct confidence statement using 99% confidence? a) We have 90% confidence that the difference in the mean score on the final exam for all students who picked up all their tests and the mean score on the final exam for all students who had one or more tests that were not picked up is between (6.6985, 25.302) b) We have 99% confidence that the difference in the mean score on the final exam for all students who picked up all their tests and the mean score on the final exam for all students who had one or more tests that were not picked up is between  (6.2876,   25.712) c) We have 95% confidence that the difference in the mean score on the final exam for all students who picked up all their tests and the mean score on the final exam for all students who had one or more tests that were not picked up is between (6.2876, 25.712) d) We have 90% confidence that the difference in the mean score on the final exam for all students who picked up all their tests and the mean score on the final exam for all students who had one or more tests that were not picked up is between (6.2876, 25.712) e) We have 95% confidence that the difference in the mean score on the final exam for all students who picked up all their tests and the mean score on the final exam for all students who had one or more tests that were not picked up is between  (6.568,  25.434)

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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Confidence Interval

      A simple random sample of 56 students who picked up all tests they completed was selected, and the mean score on final exam for this sample of students was 83 with a standard deviation of 10.4. An independent simple random sample of 51 students who had one or more tests that were not picked up was selected, and the mean score on the final exam for this sample of students was 67 with a standard deviation of 24.2. Both distributions are skewed heavily to the left [note: this is the same information provided in question above]. If appropriate, use this information to calculate and interpret a 99% confidence interval for the difference in the mean score on the final exam for all students who picked up all their tests and the mean score on the final exam for all students who had one or more tests that were not picked up.

 

What are the confidence interval values using 99% confidence?

a)  (6.6985,   25.302)

b) (11.615,   26.385)

c)  (6.568,     25.434)

d)  (13.506,    20.494)

e) (6.2876,   25.712)

 

Which of the following is a correct confidence statement using 99% confidence?

a) We have 90% confidence that the difference in the mean score on the final exam for all students who picked up all their tests and the mean score on the final exam for all students who had one or more tests that were not picked up is between (6.6985, 25.302)

b) We have 99% confidence that the difference in the mean score on the final exam for all students who picked up all their tests and the mean score on the final exam for all students who had one or more tests that were not picked up is between  (6.2876,   25.712)

c) We have 95% confidence that the difference in the mean score on the final exam for all students who picked up all their tests and the mean score on the final exam for all students who had one or more tests that were not picked up is between (6.2876, 25.712)

d) We have 90% confidence that the difference in the mean score on the final exam for all students who picked up all their tests and the mean score on the final exam for all students who had one or more tests that were not picked up is between (6.2876, 25.712)

e) We have 95% confidence that the difference in the mean score on the final exam for all students who picked up all their tests and the mean score on the final exam for all students who had one or more tests that were not picked up is between  (6.568,  25.434)

 

 

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Calculus For The Life Sciences
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,