At a large corporation, 6,000 employees from department A and 4,000 employees from department B are attending a training session. A random sample of 500 employees attending the session will be selected. Consider two sampling methods: with replacement and without replacement. How will the methods affect the standard deviations of the sampling distribution of the sample proportion of employees from department B? A The standard deviations will be equal from either method. 0.4(0.6) Sampling without replacement will result in a standard deviation less than but close to 500 0.4(0.6) V Sampling without replacement will result in a standard deviation greater than but close to 500 0.4(0.6) V D Sampling with replacement will result in a standard deviation less than but close to 500

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 2E
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At a large corporation, 6,000 employees from department A and 4,000 employees from department B are attending a training session. A random sample of 500
employees attending the session will be selected. Consider two sampling methods: with replacement and without replacement. How will the methods affect the
standard deviations of the sampling distribution of the sample proportion of employees from department B?
A
The standard deviations will be equal from either method.
0.4(0.6)
Sampling without replacement will result in a standard deviation less than but close to
500
0.4(0.6)
Sampling without replacement will result in a standard deviation greater than but close to
500
0.4(0.6)
Sampling with replacement will result in a standard deviation less than but close to
500
0.4(0.6)
E
Sampling with replacement will result in a standard deviation greater than but close to
500
Transcribed Image Text:At a large corporation, 6,000 employees from department A and 4,000 employees from department B are attending a training session. A random sample of 500 employees attending the session will be selected. Consider two sampling methods: with replacement and without replacement. How will the methods affect the standard deviations of the sampling distribution of the sample proportion of employees from department B? A The standard deviations will be equal from either method. 0.4(0.6) Sampling without replacement will result in a standard deviation less than but close to 500 0.4(0.6) Sampling without replacement will result in a standard deviation greater than but close to 500 0.4(0.6) Sampling with replacement will result in a standard deviation less than but close to 500 0.4(0.6) E Sampling with replacement will result in a standard deviation greater than but close to 500
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