A fair six-sided die will be rolled fifteen times, and the numbers that land face up will be recorded. Let x¯1x¯1 represent the average of the numbers that land face up for the first five rolls, and let x¯2x¯2 represent the average of the numbers landing face up for the remaining ten rolls. The mean μμ and variance σ2σ2 of a single roll are 3.5 and 2.92, respectively. What is the standard deviation σ(x¯1−x¯2)σ(x¯1−x¯2) of the sampling distribution of the difference in sample means x¯1−x¯2x¯1−x¯2?
A fair six-sided die will be rolled fifteen times, and the numbers that land face up will be recorded. Let x¯1x¯1 represent the average of the numbers that land face up for the first five rolls, and let x¯2x¯2 represent the average of the numbers landing face up for the remaining ten rolls. The mean μμ and variance σ2σ2 of a single roll are 3.5 and 2.92, respectively. What is the standard deviation σ(x¯1−x¯2)σ(x¯1−x¯2) of the sampling distribution of the difference in sample means x¯1−x¯2x¯1−x¯2?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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A fair six-sided die will be rolled fifteen times, and the numbers that land face up will be recorded. Let x¯1x¯1 represent the average of the numbers that land face up for the first five rolls, and let x¯2x¯2 represent the average of the numbers landing face up for the remaining ten rolls. The mean μμ and variance σ2σ2 of a single roll are 3.5 and 2.92, respectively. What is the standard deviation σ(x¯1−x¯2)σ(x¯1−x¯2) of the sampling distribution of the difference in sample means x¯1−x¯2x¯1−x¯2?
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