Based on a previous study, it is known that the dividend payout ratio of an industry resembles a normal distribution with a standard deviation of 2.4%. An investment manager collects data from 81 companies in an industry and gets the average dividend payout ratio of 81 companies is 11.8%. If the investment manager wants to establish a 95% confidence interval for the average dividend payout ratio of the population in the industry, what estimate will be obtained? a) 11.36% - 12.24% b) 11.28% - 12.32% c) 11.8% - 12.32% d) 11.36% - 12.8%

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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Based on a previous study, it is known that the dividend payout ratio of an industry resembles a normal distribution with a standard deviation of 2.4%. An investment manager collects data from 81 companies in an industry and gets the average dividend payout ratio of 81 companies is 11.8%. If the investment manager wants to establish a 95% confidence interval for the average dividend payout ratio of the population in the industry, what estimate will be obtained?

a) 11.36% - 12.24%

b) 11.28% - 12.32%

c) 11.8% - 12.32%

d) 11.36% - 12.8%

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