Note that when the population variance is 20, the population standard deviation is 4.47. So the answer to d is also the answer to a case where the standard deviation is 4.47. d. Suppose the standard deviaiton is 8.94 (twice as large as 4.47). What is minimum sample size needed to create a 90% confidence interval that is 1 unit wide? e. Is the increase in the minimum sample size proportional to the 2x increase in the standard deviation (compare the answer to e to the answer to d)? Why or why not? f. Is an increase in the minimum sample size proportional to an increase in the variance (compare the answer to a to the answer to b)? Why or why not?

Note that when the population variance is 20, the population standard deviation is 4.47. So the answer to d is also the answer to a case where the standard deviation is 4.47. d. Suppose the standard deviaiton is 8.94 (twice as large as 4.47). What is minimum sample size needed to create a 90% confidence interval that is 1 unit wide? e. Is the increase in the minimum sample size proportional to the 2x increase in the standard deviation (compare the answer to e to the answer to d)? Why or why not? f. Is an increase in the minimum sample size proportional to an increase in the variance (compare the answer to a to the answer to b)? Why or why not?

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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