A simple random sample of n = 300 full-time employees is selected from a company list containing the names of all N = 5,000 full-time employees in order to evaluate job satisfaction.
A) Give an example of possible coverage error.
C) Give an example of possible sampling error.
You plan to conduct a marketing experiment in which students are to taste one of two different brands of soft drink. Their task is to correctly identify the brand tasted. You select a random sample of 200 students and assume that the students have no ability to distinguish between the two brands. (Hint : If an individual has no ability to distinguish between the two drinks, then each brand is equally likely to be selected).
A) What is the probability that the sample will have between 50% and 60% of the identifications correct?
C) What is the probability that the sample percentage of correct identifications is greater than 65%?
Assuming that the population is normally distributed, construct a 95% confidence interval estimate for the population mean for each of the following samples:
Sample A: 1,1,1,1,8,8,8,8
Sample B: 1,2,3,4,5,6,7,8
Explain why these two samples produce different confidence intervals even though they have the same mean and range.
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