Concept explainers
(a)
To state appropriate hypotheses for performing a significance test.
(a)
Answer to Problem 53E
The hypotheses is:
Explanation of Solution
The given claim that: difference in the means.
Now, we have to find out the appropriate hypotheses for performing a significance test.
Thus, the claim is either the null hypothesis or the alternative hypothesis. The null hypothesis states that the population proportions are equal. If the null hypothesis is the claim then the alternative hypothesis states the opposite of the null hypothesis.
Therefore, the appropriate hypotheses for this is:
Where we have,
(b)
To check if the conditions for performing the test are met.
(b)
Answer to Problem 53E
All conditions are met.
Explanation of Solution
There are three conditions to be satisfied:
Random: It is satisfied because the samples are randomly selected from separate populations.
Independent: It is satisfied because the sample of
Normal: It is satisfied because both the samples are large as they both have a
Thus, all the conditions are satisfied and it is then appropriate to perform a hypothesis test for the mean difference.
Chapter 10 Solutions
PRACTICE OF STATISTICS F/AP EXAM
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