Which of the following statements is not true? A.If the sample size is held cons

Question

Which of the following statements is not true?

A.If the sample size is held constant and the same test statistic is used, the type I error rate can be changed and not affect the power of the test.

B.The sampling distribution of a statistic is the probability distribution for that statistic based on all possible random samples from a population.

C.A symmetric, heavy-tailed distribution may be detected using a boxplot and QQ chart.

D.The t-statistic distribution is based upon a random sample from a normal population.

Explanation / Answer

A. If the sample size is held constant and the same test statistic is used, the type I error rate can be changed and not affect the power of the test .

---------------------------- FALSE .

Reason : If the sample size is held constant , then decreasing the Type-I error will increase the Type-II error.

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