Holding all other things constant (population mean, sample mean and variance), i

Question

Holding all other things constant (population mean, sample mean and variance), increasing the sample size results in a) a larger test statistic b) a smaller test statistic c) no change in the test statistic value. Is the following statement true or false? Explain your response. A larger test statistic (in terms of absolute value....treat t = -4 as being as large as t = 4)makes it more likely that we will Fail to Reject H_0. What sample size is needed if we want the power of our t-test to be. 90 if it is essential to detect a difference of a half of a standard deviation for a one-tailed test? Use JMP to create a power curve for differences and sample size if we have a standard deviation of 10. a) Use the curve to approximate the sample size needed to obtain a power of 75. b) Use the curve to approximate the sample size needed to obtain a power of 90.

Explanation / Answer

4. Answer is a Larger test statistic

5. Answer is False. A larger test statistic makes it more like to reject Ho

6. We need approximately 20 samples

7. Answer is use the curve to approximate the sample size needed to ovarian a power of 0.90

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