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. (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
(Round to the nearest tenth as needed.)
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 (Round to the nearest tenth as needed.)
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