In: Statistics and Probability
Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $30,000 and $50,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. How large a sample should be taken if the desired margin of error is:
a. $400? Remove all commas from your answer before submitting.
b. $230? Remove all commas from your answer before submitting.
c. $140? Remove all commas from your answer before submitting.
d. Would you recommend trying to obtain the $140 margin of error? Explain.
Answer:
Given that:
Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $30,000 and $50,000
Standard deviation,
For 95% CI z* = 1.96
Formula: Margin of error, E = (1.96 * (s/sqrt(N))
a) $400?
b) $230?
c) $140?
d) Would you recommend trying to obtain the $140 margin of error? Explain.
No, the sample size would probably be too time consuming and costly.