1- Suppose that you are going to test the hypothesis that the population mean is

Question

1- Suppose that you are going to test the hypothesis that the population mean is 25, i.e.  . Suppose that you find a sample average of 20.3 and a standard error of 3. What is the test statistics? Answer to three decimal places.

2- You want to test the following hypothesis, 55 at the .05 level of significance. You collect a sample of 27 observations and find an average of 60.7 with a standard deviation of 7.8. What is the appropriate critical value for you test? Make sure your answer is a positive number. Answer to three decimal places.

how to do these in the calculator? (TI-84 plus)

Explanation / Answer

1. Sample average = 20.3

Population mean = 25

Standard error = 3

Hence,

Test statistic

= (Sample average - Population mean) / (Standard Error)

= (20.3 - 25) / 3

= -4.7 / 3

= -1.567

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