Question
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
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. Suppose that a sample of n twelve-sided dice are rolled many times and the mean of the outcomes is computed for each roll of n dice.
Find the mean and standard deviation of the resulting distribution of sample means for
n = 36 and for n = 100.
The mean and standard deviation (SD) of the resulting distribution
1. For n=36, approximately mean= A. 3.5 B. 6.5 C. 9.5 D. 10.5
2. For n=100, approximately mean= A. 3.5 B. 6.5 C. 9.5 D. 10.5
3. For n=36 , standard deviation= A. 0.255 B. 0.355 C. 0.575 D. 0.675
4. For n=100 , standard deviation= A. 0.255 B. 0.355 C. 0.575 D. 0.675
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started