5. (A) Describe what a sampling distribution is and what it contains. (B) What is the mean and SD of any sampling distribution equal to? (Hint: a specific value is not the answer). 6. What happens to the value of the estimated standard error as the shape of a sampling distribution becomes (A) flatter and (B) more peaked? Explain. 7. Provide a general definition/description of what the estimated standard error of the mean (SEM) is. 8. In the long-run we can expect the population mean or proportion/percentage to occur. Explain what is mean by the phrase in the long run? Hint: What does the null hypothesis expect? 9. A sample of 16 students took the American College Testing (ACT) Program composite college entrance exam and were found to have a mean of 18 and a sample SD equal to 6. (A) What is the value of the estimated standard error of the mean (SEM)? (B) Provide an interpretation of the value obtained in part A. (C) Describe how the researcher might reduce the size of the SEM if the study is repeated. 10. A marketing researcher conducted a survey of 25 shoppers randomly selected at the local mall and found that the average shopper intended to spend an average of $32.00 during their visit to the mall. The researcher also found that, on the average, the sample of shoppers surveyed spent $7.00 different than the mean of $32.00. (A) What is the value of the estimated standard error of the mean (SEM)? (B) Provide an interpretation of the value obtained in part A. (C) Based on the sample surveyed, what is the estimated average amount spent at the mall for all shoppers?
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A sampling distribution is the probability distribution of a statistic obtained from a large number of samples drawn from a specific population. It contains all possible sample means (or other statistics) that can be obtained from different samples of the same Show more…
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