Question

Asked Apr 8, 2019

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- Suppose that we wish to test whether the population mean is greater than 80, where the population standard deviation is known to equal 20. Also, suppose that a random sample of 100 observations randomly selected has a mean equal to 84.
- Formulate the null and alterative hypotheses.
- Compute the
*p*-value. - Using
*α*=0.01, what is your conclusion? - Apply the critical value method when
*a*= 0.1.

Step 1

It is required to test whether the population mean is greater than 80 or not. Here, the population standard deviation is known and the sample size is greater than 30. So, the test is right sided and the appropriate test statistic is *z*-statistic.

The provided values are:

Step 2

**2.** The *P*-value for the right-sided test can be calculated as follows:

Step 3

- The null hypothesis (Ho) is rejected if the
*P*-value is less than the...

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