Which of the following statements is NOT true? Provide brief explanation why sel

Question

Which of the following statements is NOT true? Provide brief explanation why selected answer 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

option A is correct. as sample size is fixed; by decreasing  type I error rate ill increase the type II error rate and therefore decrease power of the test, or increasing  type I error rate will increase power.

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