8.3.5 WP An article in Technometrics ["Two-Way Random Effects Analyses and Gauge R&R Studies" (1999, Vol. 41(3), pp. 202-211)] studied the capability of a gauge by measuring the weight of paper. The data for repeated measurements of one sheet of paper are in the following table. Construct a 95% one-sided upper confidence interval for the standard deviation of these mea- surements. Check the assumption of normality of the data and comment on the assumptions for the confidence interval. Observations 3.481 3.448 3.485 3.475 3.472 3.477 3.472 3.464 3.472 3.470 3.470 3.470 3.477 3.473 3.474 8.3.6 WP An article in Cancer Research ["Analyses of Litter-Matched Time-to-Response Data, with Modifications for Recovery of Interlitter Information" (1977, Vol. 37, pp. 3863-3868)] tested the tumorigenesis of a drug. Rats were ran- domly selected from litters and given the drug. The times of tumor appearance were recorded as follows: 101, 104, 104, 77, 89, 88, 104, 96, 82, 70, 89, 91, 39, 103, 93, 85, 104, 104, 81, 67, 104, 104, 104, 87, 104, 89, 78, 104, 86, 76, 103, 102, 80, 45, 94, 104, 104, 76, 80, 72, 73 Calculate a 95% confidence interval on the standard deviation of time until a tumor appearance. Check the assumption of normal- ity of the population and comment on the assumptions for the confidence interval.

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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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Answer questions 8.3.5 and 8.3.6 respectively 

8.3.5 WP An article in Technometrics ["Two-Way Random
Effects Analyses and Gauge R&R Studies" (1999, Vol. 41(3),
pp. 202-211)] studied the capability of a gauge by measuring the
weight of paper. The data for repeated measurements of one sheet
of
paper are in the following table. Construct a 95% one-sided
upper confidence interval for the standard deviation of these mea-
surements. Check the assumption of normality of the data and
comment on the assumptions for the confidence interval.
Observations
3.481
3.448
3.485
3.475
3.472
3.477
3.472
3.464
3.472
3.470
3.470
3.470
3.477
3.473
3.474
8.3.6 WP An article in Cancer Research ["Analyses of
Litter-Matched Time-to-Response Data, with Modifications
for Recovery of Interlitter Information" (1977, Vol. 37, pp.
3863-3868)] tested the tumorigenesis of a drug. Rats were ran-
domly selected from litters and given the drug. The times of
tumor appearance were recorded as follows:
101, 104, 104, 77, 89, 88, 104, 96, 82, 70, 89, 91, 39, 103, 93, 85,
104, 104, 81, 67, 104, 104, 104, 87, 104, 89, 78, 104, 86, 76, 103,
102, 80, 45, 94, 104, 104, 76, 80, 72, 73
Calculate a 95% confidence interval on the standard deviation of
time until a tumor appearance. Check the assumption of normal-
ity of the population and comment on the assumptions for the
confidence interval.
Transcribed Image Text:8.3.5 WP An article in Technometrics ["Two-Way Random Effects Analyses and Gauge R&R Studies" (1999, Vol. 41(3), pp. 202-211)] studied the capability of a gauge by measuring the weight of paper. The data for repeated measurements of one sheet of paper are in the following table. Construct a 95% one-sided upper confidence interval for the standard deviation of these mea- surements. Check the assumption of normality of the data and comment on the assumptions for the confidence interval. Observations 3.481 3.448 3.485 3.475 3.472 3.477 3.472 3.464 3.472 3.470 3.470 3.470 3.477 3.473 3.474 8.3.6 WP An article in Cancer Research ["Analyses of Litter-Matched Time-to-Response Data, with Modifications for Recovery of Interlitter Information" (1977, Vol. 37, pp. 3863-3868)] tested the tumorigenesis of a drug. Rats were ran- domly selected from litters and given the drug. The times of tumor appearance were recorded as follows: 101, 104, 104, 77, 89, 88, 104, 96, 82, 70, 89, 91, 39, 103, 93, 85, 104, 104, 81, 67, 104, 104, 104, 87, 104, 89, 78, 104, 86, 76, 103, 102, 80, 45, 94, 104, 104, 76, 80, 72, 73 Calculate a 95% confidence interval on the standard deviation of time until a tumor appearance. Check the assumption of normal- ity of the population and comment on the assumptions for the confidence interval.
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