Number of Hours Worked An economic researcher is collecting data about grocery store employees in a county. The data listed below represents a random sample of number of hours worked by 40 employees for several grocery stores in the county. Assume that the population standard deviation is 7.9 hours. An economics researcher wants to estimate the mean number of hours worked by all grocery store employees in the county. How many employees must be included in the sample to be 95% confident that the sample mean is within 1.5 hours of the population mean? 30, 26, 33, 26, 26, 33, 31, 31, 21, 37, 27, 20, 34, 35, 30, 24, 38, 34, 39, 31, 22, 30, 23, 23, 31, 44, 31, 33, 33, 26, 27, 28, 25, 35, 23, ,32, 29, 31, 25, 27
Number of Hours Worked An economic researcher is collecting data about grocery store employees in a county. The data listed below represents a random sample of number of hours worked by 40 employees for several grocery stores in the county. Assume that the population standard deviation is 7.9 hours. An economics researcher wants to estimate the mean number of hours worked by all grocery store employees in the county. How many employees must be included in the sample to be 95% confident that the sample mean is within 1.5 hours of the population mean? 30, 26, 33, 26, 26, 33, 31, 31, 21, 37, 27, 20, 34, 35, 30, 24, 38, 34, 39, 31, 22, 30, 23, 23, 31, 44, 31, 33, 33, 26, 27, 28, 25, 35, 23, ,32, 29, 31, 25, 27
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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Instructions
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Required parameters:
Confidence level:
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0.95
Standard deviation: 7.9
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Number of Hours Worked
An economic researcher is collecting data about grocery store employees in a county. The data listed below represents a random sample of number of
hours worked by 40 employees for several grocery stores in the county. Assume that the population standard deviation is 7.9 hours. An economics
researcher wants to estimate the mean number of hours worked by all grocery store employees in the county. How many employees must be included
in the sample to be 95% confident that the sample mean is within 1.5 hours of the population mean?
30, 26, 33, 26, 26, 33, 31, 31, 21, 37, 27, 20, 34, 35, 30, 24, 38, 34, 39, 31, 22, 30, 23, 23, 31, 44, 31, 33, 33, 26, 27, 28, 25, 35, 23, ,32, 29, 31, 25, 27
Find the minimum sample size to estimate the population mean hours worked using StatCrunch.
1. Enter data in StatCrunch.
2. Click the menu sequence Stat → Z Stats
One Sample →→ Power/Sample Size.
3. In the window that displays, click the Confidence Interval Width button.
4. In the Required parameters section:
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o In the Confidence level box, type 0.95.
o In the Standard deviation box, type 7.9
5. In the Enter One section, in the Width box, type 3 (which is the tolerable error E of 1.5, multiplied by 2).
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Enter one:
Width:
Sample size:
Compute
6. Copy and paste the Confidence Interval Width window with sample size found.
7. Interpret, in words, the meaning of the sample size value just computed.
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