What type of hypothesis test should be performed? Unpaired t-test Two-tailed z-test Left-tailed z-test Paired t-test What is the test statistic? What is the number of degrees of freedom? Does sufficient evidence exist to support the claim that the voltage of the batteries made by the two manufacturers is different at the α = 0.01 significance level? Yes No
A clinical researcher performs a clinical trial on 20 patients to determine whether a drug treatment has an effect on serum glucose. The sample mean glucose of the patients before and after the treatment are summarized in the following table. The sample standard deviation of the differences was 10.
Before Treatment
Sample mean glucose (mg/dL): 117
After Treatment
Sample mean glucose (mg/dL): 111
What type of hypothesis test should be performed?
Unpaired t-test
Two-tailed z-test
Left-tailed z-test
Paired t-test
What is the test statistic?
What is the number of degrees of freedom?
Does sufficient evidence exist to support the claim that the voltage of the batteries made by the two manufacturers is different at the α = 0.01 significance level?
Yes
No
In this study, each of the patient is measured twice (before and after) for determining whether a drug treatment has an effect on serum glucose. The sample data is paired because the same 20 patients are measured twice. Since the data is paired and difference between paired mean is to be tested, paired t test has to be performed.
Thus, the type of hypothesis test should be performed is paired t test.
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