For a certain drug, based on standards set by the United States Pharmacopeia (USP) - an official public standards-setting authority for all prescription and over-the-counter medicines and other health care products manufactured or sold in the United States, a standard deviation of capsule weights of less than 2 mg is acceptable. A sample of 10 capsules was taken and the weights are provided below: 99.8 101.3 99.5 99.8 99.6 98.6 99.7 99.4 101 100.3 The mean of the data set is 99.9; the sample standard deviation is 0.787; if the normality plot is not provided you may assume that the capsule weights are normally distributed. Construct a 99% confidence interval for the variance (standard deviation) of all capsule weights. i. Procedure: One variance x² procedure ii. Assumptions: (select everything that applies) Normal population The number of positive and negative responses are both greater than 10 Population standard deviation is known Sample size is greater than 30 Simple random sample Population standard deviation is unknown iii. Unknown parameter: 0², population variance Part 2 of 5

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For a certain drug, based on standards set by the United States Pharmacopeia (USP) - an official
public standards-setting authority for all prescription and over-the-counter medicines and other
health care products manufactured or sold in the United States, a standard deviation of capsule
weights of less than 2 mg is acceptable. A sample of 10 capsules was taken and the weights are
provided below:
99.8
101.3 99.5 99.8 101
99.6 98.6 99.7 99.4 100.3
The mean of the data set is 99.9; the sample standard deviation is 0.787; if the normality plot is not
provided you may assume that the capsule weights are normally distributed.
Construct a 99% confidence interval for the variance (standard deviation) of all capsule weights.
i. Procedure: One variance x² procedure
ii. Assumptions: (select everything that applies)
V
Normal population
The number of positive and negative responses are both greater than 10
Population standard deviation is known
Sample size is greater than 30
Simple random sample
Population standard deviation is unknown
iii. Unknown parameter: 0², population variance
Part 2 of 5
Transcribed Image Text:For a certain drug, based on standards set by the United States Pharmacopeia (USP) - an official public standards-setting authority for all prescription and over-the-counter medicines and other health care products manufactured or sold in the United States, a standard deviation of capsule weights of less than 2 mg is acceptable. A sample of 10 capsules was taken and the weights are provided below: 99.8 101.3 99.5 99.8 101 99.6 98.6 99.7 99.4 100.3 The mean of the data set is 99.9; the sample standard deviation is 0.787; if the normality plot is not provided you may assume that the capsule weights are normally distributed. Construct a 99% confidence interval for the variance (standard deviation) of all capsule weights. i. Procedure: One variance x² procedure ii. Assumptions: (select everything that applies) V Normal population The number of positive and negative responses are both greater than 10 Population standard deviation is known Sample size is greater than 30 Simple random sample Population standard deviation is unknown iii. Unknown parameter: 0², population variance Part 2 of 5
iii. Unknown parameter: 0², population variance ✓
iv. Point estimate: sample variance, s² VV -
V. Confidence level 99
O
C
% and a =
a
a
005
and 1
2
2
o Critical values: (Round the answer to 3 decimal places)
left= 23.589 x right= 1.735 X
7
.619
-
.01 V
V
995
(Round the answer to 3 decimal pla
also
vi. Margin of error (if applicable): DNE (Round the answer to 3 decimal places)
vii. Lower bound:
(Round the answer to 3 decimal places)
Enter an integer or decimal number, with 3 decimal places [more..]
(Round the answer to 3 decimal places)
viii. Upper bound:
Part
Transcribed Image Text:iii. Unknown parameter: 0², population variance ✓ iv. Point estimate: sample variance, s² VV - V. Confidence level 99 O C % and a = a a 005 and 1 2 2 o Critical values: (Round the answer to 3 decimal places) left= 23.589 x right= 1.735 X 7 .619 - .01 V V 995 (Round the answer to 3 decimal pla also vi. Margin of error (if applicable): DNE (Round the answer to 3 decimal places) vii. Lower bound: (Round the answer to 3 decimal places) Enter an integer or decimal number, with 3 decimal places [more..] (Round the answer to 3 decimal places) viii. Upper bound: Part
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