Consider the following population for the diameter of 36 rivet heads (in 1/100 of an inch) of one kind in a production line, labeled in order as rivet 1, rivet 2, and so on, as follows (in order): 6.72 6.77 6.82 6.70 6.78 6.70 6.62 6.75 6.66 6.66 6.64 6.76 6.73 6.80 6.72 6.76 6.76 6.68 6.66 6.62 6.72 6.76 6.70 6.78 6.76 6.67 6.70 6.72 6.74 6.81 6.79 6.78 6.66 6.76 6.76 6.72 Five samples of rivet heads are to be picked in order to estimate the mean diameter among the entire population. (a) Construct a sampling distribution of sample mean for the following five-sample combinations: 1-3-5-7-9. 2- 4-6-8-10, 11-13-15-17-19, 12-14-16-18-20, 21-23-25-27-29, 22-24-26-28-30, 31-33-35-1-3, 32-34-36-2-

Solid Waste Engineering
3rd Edition
ISBN:9781305635203
Author:Worrell, William A.
Publisher:Worrell, William A.
Chapter4: Mechanical Processes
Section: Chapter Questions
Problem 4.11P
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SITUATION 9
Consider the following population for the diameter of 36 rivet heads (in 1/100 of an inch) of one kind in a
production line, labeled in order as rivet 1, rivet 2, and so on, as follows (in order):
6.72
6.77 6.82 6.70 6.78 6.70 6.62 6.75 6.66
6.66
6.64 6.76
6.73
6.80 6.72 6.76 6.76 6.68
6.66
6.62 6.72
6.76
6.70 6.78 6.76 6.67 6.70
6.72 6.74 6.81 6.79 6.78 6.66 6.76 6.76 6.72
Five samples of rivet heads are to be picked in order to estimate the mean diameter among the entire
population.
(a) Construct a sampling distribution of sample mean for the following five-sample combinations: 1-3-5-7-9. 2-
4-6-8-10, 11-13-15-17-19, 12-14-16-18-20, 21-23-25-27-29, 22-24-26-28-30, 31-33-35-1-3, 32-34-36-2-
4, 5-7-9-11-13, and 6-8-10-12-14.
(b) Determine the population mean diameter. Which of the five-sample combinations from (a) has its sample
mean closest to the population mean?
Transcribed Image Text:SITUATION 9 Consider the following population for the diameter of 36 rivet heads (in 1/100 of an inch) of one kind in a production line, labeled in order as rivet 1, rivet 2, and so on, as follows (in order): 6.72 6.77 6.82 6.70 6.78 6.70 6.62 6.75 6.66 6.66 6.64 6.76 6.73 6.80 6.72 6.76 6.76 6.68 6.66 6.62 6.72 6.76 6.70 6.78 6.76 6.67 6.70 6.72 6.74 6.81 6.79 6.78 6.66 6.76 6.76 6.72 Five samples of rivet heads are to be picked in order to estimate the mean diameter among the entire population. (a) Construct a sampling distribution of sample mean for the following five-sample combinations: 1-3-5-7-9. 2- 4-6-8-10, 11-13-15-17-19, 12-14-16-18-20, 21-23-25-27-29, 22-24-26-28-30, 31-33-35-1-3, 32-34-36-2- 4, 5-7-9-11-13, and 6-8-10-12-14. (b) Determine the population mean diameter. Which of the five-sample combinations from (a) has its sample mean closest to the population mean?
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