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? 2.92+2.922.92+2.92 A 2.92−2.922.92−2.92 B 2.925+2.9210−−−−−−−−√2.925+2.9210 C 2.9225+2.92210−−−−−−−−−−√2.9225+2.92210 D 2.9225−2.92210−−−−−−−−−−√2.9225−2.92210 E Chose A, B, C, D, OR E ]
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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2.92+2.922.92+2.92
A -
2.92−2.922.92−2.92
B -
2.925+2.9210−−−−−−−−√2.925+2.9210
C -
2.9225+2.92210−−−−−−−−−−√2.9225+2.92210
D -
2.9225−2.92210−−−−−−−−−−√2.9225−2.92210
E
Chose A, B, C, D, OR E
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