products manufactured or sold in the United States, a standard deviation of capsule weights of less than 0.5 mg is acceptable. A sample of 40 capsules was taken and the weights are provided below: 99.4 99 100.3 100.3 99.4 100.6 100.3 99.9 100.9 100.4 100 100.9 99.4 99.9 99.8 100.6 99.5 99.8 100.5 100.2 99.8 100.4 99.8 100.4 99.8 100.4 100.3 100.5 99.8 99.9 100.9 100.6 100.8 100.2 100.7 99.3 100.3 99.3 99.7 100.2 (Note: The average and the standard deviation of the data are respectively 100.1 mg and 0.5 mg.) At 1% significance level, test the claim that the standard deviation of capsule weights of the drug is less than 0.5 mg. Procedure: One variance x² Hypothesis Test v Assumptions: (select everything that applies) O The number of positive and negative responses are both greater than 10 Sample size is greater than 30 Population standard deviation is known O Population standard deviation is unknown O Simple random sample
products manufactured or sold in the United States, a standard deviation of capsule weights of less than 0.5 mg is acceptable. A sample of 40 capsules was taken and the weights are provided below: 99.4 99 100.3 100.3 99.4 100.6 100.3 99.9 100.9 100.4 100 100.9 99.4 99.9 99.8 100.6 99.5 99.8 100.5 100.2 99.8 100.4 99.8 100.4 99.8 100.4 100.3 100.5 99.8 99.9 100.9 100.6 100.8 100.2 100.7 99.3 100.3 99.3 99.7 100.2 (Note: The average and the standard deviation of the data are respectively 100.1 mg and 0.5 mg.) At 1% significance level, test the claim that the standard deviation of capsule weights of the drug is less than 0.5 mg. Procedure: One variance x² Hypothesis Test v Assumptions: (select everything that applies) O The number of positive and negative responses are both greater than 10 Sample size is greater than 30 Population standard deviation is known O Population standard deviation is unknown O Simple random sample
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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
0.5 mg is acceptable. A sample of 40 capsules was taken and the weights are provided below:
99.4
99
100.3
100.3
99.4
100.6
100.3
99.9
100.9
100.4
99.4
99.9
99.8
100
100.6
99.5
99.8
100.5
100.9
100.2
99.8
100.4
99.8
100.4
99.8
100.4
100.3
100.5
99.8
99.9
100.9
100.6
100.8
100.2
100.7
99.3
100.3
99.3
99.7
100.2
(Note: The average and the standard deviation of the data are respectively 100.1 mg and 0.5 mg.)
At 1% significance level, test the claim that the standard deviation of capsule weights of the drug is less
than 0.5 mg.
Procedure: One variance y² Hypothesis Test
Assumptions: (select everything that applies)
The number of positive and negative responses are both greater than 10
|Sample size is greater than 30
Population standard deviation is known
Population standard deviation is unknown
Simple random sample
Normal population
Part 2 of 5
Step 1. Hypotheses Set-Up:
, where ? v is the Select an answer
and the units are ?
Ho: Select an answer
Ha: Select an answer
and the test is Select an answer
Step 2. The significance level a
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