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Name: A manufacturer claims that a certain brand of cold tablets contains an
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Description: A manufacturer claims that a certain brand of cold tablets contains an average 600 mg of acetaminophen. To test this claim, a researcher creates a random sample of 32 tablets. The mean of this sample is 631.7 mg, and the standard deviation is 62.3 mg

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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A manufacturer claims that a certain brand of cold tablets contains an average 600 mg of acetaminophen. To test this claim, a researcher creates a random sample of 32 tablets. The mean of this sample is 631.7 mg, and the standard deviation is 62.3 mg. Test the claim using a level of significance of 1%.

What type of test will be used in this problem?

What evidence justifies the use of this test? Check all that apply
- The original population is approximately normal
- The population standard deviation is not known
- The sample standard deviation is not known
- There are two different samples being compared
- np>5

and nq>5

- The sample size is larger than 30
- The population standard deviation is known
Enter the null hypothesis for this test.
H0
Enter the alternative hypothesis for this test.
H1:
Is the original claim located in the null or alternative hypothesis?
What is the test statistic for the given statistics?
What is the p-value for this test?
What is the decision based on the given statistics?
What is the correct interpretation of this decision?

Using a % level of significance, there

sufficient evidence to the claim that a certain brand of cold tablets contains an average 600 mg of acetaminophen.

Transcribed Image Text:A manufacturer claims that a certain brand of cold tablets contains an average 600 mg of acetaminophen. To test this claim, a researcher creates a random sample of 32 tablets. The mean of this sample is 631.7 mg, and the standard deviation is 62.3 mg. Test the claim using a level of significance of 1%. a. What type of test will be used in this problem? Select an answer b. What evidence justifies the use of this test? Check all that apply OThe original population is approximately normal OThe population standard deviation is not known OThe sample standard deviation is not known |There are two different samples being compared Onp > 5 and nq > 5 OThe sample size is larger than 30 The population standard deviation is known c. Enter the null hypothesis for this test. Ho Select an answer ? d. Enter the alternative hypothesis for this test. H: Select an answer v ? v e. Is the original claim located in the null or alternative hypothesis? Select an answer f. What is the test statistic for the given statistics? g. What is the p-value for this test? h. What is the decision based on the given statistics? Select an answer i. What is the correct interpretation of this decision? Using a % level of significance, there Select an answer sufficient evidence to Select an answer the claim that a certain brand of cold tablets contains an average 600 mg of acetaminophen.

Expert Solution

Step 1

$h e r e w e h a v e x = \dot{631.7} s = 62.3 n = 32$

hypothesis

$H_{0} : μ = 600 H_{1} : μ \neq 600$

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