# Assignment: Sampling

Name:

1. A researcher sampled 100 students from a population of 500 and asked whether they preferred yellow or red. 43 students preferred yellow and 57 students preferred red. Assuming the researcher wishes to be 95% confident, what is the confidence interval for yellow? ________ to ________. What is the confidence interval for red? __________ to ___________.

2. Another researcher wishes to conduct a survey in which she can be 95% confident with a confidence interval of plus or minus 3. How many students must she survey if she has a population of 1200? ___________________.

3. Assume a researcher had the following list of randomly arranged names: Mary, Phil, Ramone, Siamak, Carlos, Maria, Helen, Del, Bill, Robert, Michelle, Monty, Betsy, Elizabeth, Jessica, Howard, Shane, Terry, Pat, Jean, Orville, Julie, Jann, Bess, and Joe. If the researcher wanted to create a sample of five names from the list using systematic sampling, which five names would he have selected?

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4. Using the names above in Question 3, a researcher wished to use a random number table to randomly select one name. Assuming the following five numbers were the first numbers encountered on the random number table (61988, 88967, 78733, 04957, and 08216), which student would have been selected?

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5.  If a researcher wished to created a sample of 70 participants stratified by gender, and there were 345 women and 764 man in the population. How many women would need to be in the sample? _________________