to take a simple random sample of size n from the production line. If he were to double his sample size (to 2n), by what factor would the standard deviation of the sampling distribution of X change?

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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Chocolate bars produced by a certain machine are labeled 8.0 ounces. The distribution
of the actual weights of these chocolate bars is claimed to be Normal with a mean of 8.1
ounces and a standard deviation of 0.1 ounces. A quality control manager initially plans
to take a simple random sample of size n from the production line. If he were to double
his sample size (to 2n), by what factor would the standard deviation of the sampling
distribution of X change?
А) 1/2
B) 1//2
C) V2
D) 2
Transcribed Image Text:Chocolate bars produced by a certain machine are labeled 8.0 ounces. The distribution of the actual weights of these chocolate bars is claimed to be Normal with a mean of 8.1 ounces and a standard deviation of 0.1 ounces. A quality control manager initially plans to take a simple random sample of size n from the production line. If he were to double his sample size (to 2n), by what factor would the standard deviation of the sampling distribution of X change? А) 1/2 B) 1//2 C) V2 D) 2
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