Question

Asked Apr 2, 2019

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Hello. Can I get help on how to work out this problem? If there is also a way to calculate using the TI-83 graphing calculator, that would be helpful. Thanks!

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Step 1

**Power of a test:**

Power of a test is the probability of rejecting a null hypothesis when it is false. That is, the probability of rejecting a null hypothesis when the alternative hypothesis is true. Therefore,

Step 2

The null and alternative hypotheses are H_{0}: *µ *= 1,000 and H_{a}: *µ *> 1,000. A random sample of size 36 is taken from the population with standard deviation 120. The power of the test wants to calculate at the alternative H_{a}: *µ *= 1,020. The test is right tailed, therefore the critical region for the test is, *Z* > *Z*_{a}. The significance level is 0.05 and the *Z*- value corresponding to significance level 0.05 is 1.645. Therefore, the power of the test is given by:

Step 3

Substituting *µ*0 = 1,000 and *σ *= 120, and *n=...*

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