hypothesis? Null Hypothesis 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? (Reject the null hypothesis i. What is the correct interpretation of this decision? % level of significance, there G Using a sufficient evidence to eject brand of cold tablets contains an average 600 mg of the claim that a certain acetaminophen

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 39 tablets. The mean of
this sample is 616.9 mg, and the standard deviation is 51.6 mg,
which suggests that the mean is not 600 mg. Test the claim using a
level of significance of 5%.
a. What type of test will be used in this problem?
A test for the mean using the t-distribution
b. What evidence justifies the use of this test? Check all that
аpply
O There are two different samples being compared
O The population standard deviation is known
The population standard deviation is not known
np > 5 and ng > 5
O The sample standard deviation is not known
O The sample size is larger than 30
O The original population is approximately normal
c. Enter the null hypothesis for this test.
Но (и
d. Enter the alternative hypothesis for this test.
Н:
μο
e. Is the original claim located in the null or alternative
hypothesis?
Null Hypothesis
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?
Reject the null hypothesis
i. What is the correct interpretation of this decision?
Using a
% level of significance, there
is
sufficient evidence to
v the claim that a certain
reject
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 39 tablets. The mean of this sample is 616.9 mg, and the standard deviation is 51.6 mg, which suggests that the mean is not 600 mg. Test the claim using a level of significance of 5%. a. What type of test will be used in this problem? A test for the mean using the t-distribution b. What evidence justifies the use of this test? Check all that аpply O There are two different samples being compared O The population standard deviation is known The population standard deviation is not known np > 5 and ng > 5 O The sample standard deviation is not known O The sample size is larger than 30 O The original population is approximately normal c. Enter the null hypothesis for this test. Но (и d. Enter the alternative hypothesis for this test. Н: μο e. Is the original claim located in the null or alternative hypothesis? Null Hypothesis 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? Reject the null hypothesis i. What is the correct interpretation of this decision? Using a % level of significance, there is sufficient evidence to v the claim that a certain reject brand of cold tablets contains an average 600 mg of acetaminophen.
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