b. Find the mean and standard deviation of the resulting distribution of sample means for n = 64. The mean of the resulting distribution of sample means is (Round to the nearest tenth as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Rolling a fair twelve-sided die produces a uniformly distributed set of numbers between 1 and 12 with a mean of 6.5 and a
standard deviation of 3.452. Assume that n twelve-sided dice are rolled many times and the mean of the n outcomes is
computed each time.
a. Find the mean and standard deviation of the resulting distribution of sample means for n = 144.
The mean of the resulting distribution of sample means is 6.5.
(Round to the nearest tenth as needed.)
WE
The standard deviation of the distribution of sample means is 0.288
(Round to the nearest thousandth as needed.)
b. Find the mean and standard deviation of the resulting distribution of sample means for n = 64.
☐
The mean of the resulting distribution of sample means is
(Round to the nearest tenth as needed.)
1
4
0 √
Ş
I (₁)
More
X
Transcribed Image Text:Rolling a fair twelve-sided die produces a uniformly distributed set of numbers between 1 and 12 with a mean of 6.5 and a standard deviation of 3.452. Assume that n twelve-sided dice are rolled many times and the mean of the n outcomes is computed each time. a. Find the mean and standard deviation of the resulting distribution of sample means for n = 144. The mean of the resulting distribution of sample means is 6.5. (Round to the nearest tenth as needed.) WE The standard deviation of the distribution of sample means is 0.288 (Round to the nearest thousandth as needed.) b. Find the mean and standard deviation of the resulting distribution of sample means for n = 64. ☐ The mean of the resulting distribution of sample means is (Round to the nearest tenth as needed.) 1 4 0 √ Ş I (₁) More X
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