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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