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 1 mg is acceptable. A sample of 26 capsules was taken and the weights are provided below: 120.2 120.4 119 121.6 118.2 118.7 118.1 122.2 119.4 120.2 121.4 120.4 118.3 120.8 121.5 121.3 119.9 119.7 119.8 120.1 120.9 120.6 120.6 119.1 119.8 119.3 (Note: The average and the standard deviation of the data are respectively 120.1 mg and 1.1 mg.) At 5% significance level, test the claim that the standard deviation of capsule weights of the drug is greater than 1 mg. Procedure: Select an answer Assumptions: (select everything that applies) O Sample size is greater than 30 O Simple random sample O Population standard deviation is known O Population standard deviation is unknown O Normal population O The number of positive and negative responses are both greater than 10 Step 1. Hypotheses Set-Up: where ? v is the Select an answer Ho: Select an answer v and the units are H.: ISelect an answer and the test is Select an answer Step 2. The significance level a =
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 1 mg is acceptable. A sample of 26 capsules was taken and the weights are provided below: 120.2 120.4 119 121.6 118.2 118.7 118.1 122.2 119.4 120.2 121.4 120.4 118.3 120.8 121.5 121.3 119.9 119.7 119.8 120.1 120.9 120.6 120.6 119.1 119.8 119.3 (Note: The average and the standard deviation of the data are respectively 120.1 mg and 1.1 mg.) At 5% significance level, test the claim that the standard deviation of capsule weights of the drug is greater than 1 mg. Procedure: Select an answer Assumptions: (select everything that applies) O Sample size is greater than 30 O Simple random sample O Population standard deviation is known O Population standard deviation is unknown O Normal population O The number of positive and negative responses are both greater than 10 Step 1. Hypotheses Set-Up: where ? v is the Select an answer Ho: Select an answer v and the units are H.: ISelect an answer and the test is Select an answer Step 2. The significance level a =
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 1
mg is acceptable. A sample of 26 capsules was taken and the weights are provided below:
122.2 120.2| 119.4
120.8
119 121.5
120.6
119.8
118.2
118.1
|118.7
121.3
119.8
|119.9 120.1
119.7 120.9
118.3 120.2 120.4
121.4
120.4
121.6
120.6
119.1
| 119.3
(Note: The average and the standard deviation of the data are respectively 120.1 mg and 1.1 mg.)
At 5% significance level, test the claim that the standard deviation of capsule weights of the drug is greater
than 1 mg.
Procedure: Select an answer
Assumptions: (select everything that applies)
O Sample size is greater than 30
O Simple random sample
O Population standard deviation is known
O Population standard deviation is unknown
O Normal population
O The number of positive and negative responses are both greater than 10
Step 1. Hypotheses Set-Up:
where ? V is the
Select an answer
Ho: Select an answer
V =
vand the units are
?
H: Select an answer v?v
and the test is Select an answer V
Step 2. The significance level a =
Step 3. Compute the value of the test statistic: Select an answer v =
(Round the answer to 3
Transcribed Image Text:O Population standard deviation is known
O Population standard deviation is unknown
O Normal population
O The number of positive and negative responses are both greater than 10
Step 1. Hypotheses Set-Up:
where ? v is the
Hn: Select an answer V =
Select an answer
v and the units are
H: Select an answer v? v
,and the test is Select an answer v
Step 2. The significance level a =
Step 3. Compute the value of the test statistic: Select an answer v
(Round the answer to 3
decimal places)
Step 4. Testing Procedure: (Round the answers to 3 decimal places)
CVA
PVA
Compute the P-value of the test
statistic:
Provide the critical value(s) for the Rejection Region:
left CV is
and right CV is
P-value is
Step 5. Decision:
CVA
PVA
Is the test statistic in the rejection region?
Is the P-value less than the significance level?
?
Conclusion: Select an answer
Step 6. Interpretation:
At 5% significance level we Select an answer v have sufficient evidence to reject the null hypothesis
in favor of the alternative hypothesis.
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