Refer to given Exercise. Now define the statistic of interest to be the proportion correct, X/10. What is the mean of the sampling distribution of this statistic? Explain how you found your answer.
Exercise
Suppose someone who takes a ten-question true-false test doesn't know any of the answers and randomly selects true or false for each question. Define the statistic X = number correct.
a. Describe the sampling distribution of X. (Hint: This distribution was introduced in Chapter 8.)
b. What is the mean of this sampling distribution?
c. What is the standard deviation of this sampling distribution?