Concept explainers
The common sample size
Answer to Problem 9.66SE
The common sample size
Explanation of Solution
Given:
Maximum value of
Significance level:
Calculation:
Consider:
The test statistics under null hypothesis is calculated as:
Need to consider the common sample size:
Then above eq. rewrite as:
At the significance level of the critical value of
Thus, the critical region is
It is given that the maximum value of
Now, the
It given that, in fact the
That is:
The power of the test
When the null hypothesis is true, the power of the test is the probability of rejecting the null hypothesis
From standard normal tables, the value corresponding to
Then,
The common sample size is estimated as
Conclusion:
Therefore, the common sample size is estimated as
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Chapter 9 Solutions
EP INTRODUCTION TO PROBABILITY+STAT.
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