
Explanation:
Standard deviation = ; $400 / \sqrt{100} = 40$. The researcher is correct that a possible consequence of increasing the sample size is sampling more than one population. In addition, increasing the sample size will increase its costs. The need for additional precision must be balanced with cost and the risk of sampling more than one population.
(Book 2, Module 17.1, LO 17.a)
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Question 9
ESG Product's research department developed a new type of environmentally friendly paper. The marketing department surveyed a random sample of 100 people. The survey is designed to gauge customer interest level in the new product. The sample indicates an average purchase of 2,500 reams per year with a variance of 160,000 reams. The researcher's supervisor is concerned that the sample size is too small. The researcher advises against increasing the sample size, stating that "there is a risk of sampling from more than one population." Determine the standard error of the sample mean and indicate whether the researcher's statement is correct or incorrect.
A
Standard error: 8, Researcher's statement: Correct
B
Standard error: 40, Researcher's statement: Incorrect
C
Standard error: 8, Researcher's statement: Incorrect
D
Standard error: 40, Researcher's statement: Correct
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