Which of the following statements is not true for sampling distributions?
a. A sampling distribution is necessary for making confidence statements about an unknown population parameter.
b. A sampling distribution depends on the nature of the population being sampled.
c. When sampling at random from a normal population, the sampling distribution for the sample average is a normal distribution.
d. None of the above.
TRUE or FALSE
Assume a random sample of size n is from a normal population. Assume a single sample t test is used to for hypothesis testing. The null hypothesis is that the population mean is zero versus the alternative hypothesis that it is not zero. If the sample size is decreased, and the Type I error rate is unchanged, then the Type II error rate will increase.
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