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. (in order): labeled in order as rivet 1, rivet 2, and so on, as follows 6.62 6.75 6.66 6.78 6.70 6.82 6.70 6.72 6.77 6.76 6.68 6.76 6.66 6.72 6.64 6.76 6.73 6.80 6.70 6.67 6.66 6.72 6.78 6.76 6.62 6.76 6.70 6.72 6.76 6.76 6.72 6.74 6.81 6.79 6.78 6.66 Five samples of rivet heads are to be picked in order to estimate the mean diameter among the entire population. S (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?
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. (in order): labeled in order as rivet 1, rivet 2, and so on, as follows 6.62 6.75 6.66 6.78 6.70 6.82 6.70 6.72 6.77 6.76 6.68 6.76 6.66 6.72 6.64 6.76 6.73 6.80 6.70 6.67 6.66 6.72 6.78 6.76 6.62 6.76 6.70 6.72 6.76 6.76 6.72 6.74 6.81 6.79 6.78 6.66 Five samples of rivet heads are to be picked in order to estimate the mean diameter among the entire population. S (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?
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter21: Direct And Inverse Proportions
Section: Chapter Questions
Problem 9A: A micrometer reading is made at dimension D on a tapered shaft (Figure 217). For each of the...
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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. (in order):
labeled in order as rivet 1, rivet 2, and so on, as follows
6.62
6.75
6.66
6.78
6.70
6.82
6.70
6.72
6.77
6.76
6.68
6.76
6.66
6.72
6.64
6.76
6.73
6.80
6.70
6.67
6.66
6.72
6.78
6.76
6.62
6.76
6.70
6.72
6.76
6.76
6.72
6.74
6.81
6.79
6.78
6.66
Five samples of rivet heads are to be picked in order to estimate the mean diameter among the entire population.
S
(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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