Question

I would like to test the null hypothesis that the population mean is 50 versus the alternative that it is not 50. My sample size is 6, and the sample mean is 38 with a sample standard deviation of 16. What is the test statistic for this hypothesis test?

1) 2.25
2) 1.5
3) 3.0
4) 4.5

Answer 1

The test statistic for this hypothesis test is approximately -2.25.

Step-by-step explanation:

The test statistic for this hypothesis test can be calculated using the formula:

Test Statistic = (Sample Mean - Population Mean) / (Sample Standard Deviation / sqrt(Sample Size))

In this case, the sample mean is 38, the population mean is 50, the sample standard deviation is 16, and the sample size is 6. Substituting these values into the formula, we get:

Test Statistic = (38 - 50) / (16 / sqrt(6)) ≈ -2.25

Therefore, the test statistic for this hypothesis test is approximately -2.25.