Please use the below space and provide your answers to Problems #4, #6, and #7

4. An executive recruitment firm used a lengthy mail survey to gather information on the job mobility of mid-level managers. A sample of 500 eligible middle managers was selected, using a simple random sampling procedure. The firm used three waves of mailings. Sixteen of the questionnaires were returned due to bad addresses; all but two of the returned surveys were usable. After the third mailing, each of the nonresponding (NR) sample units was contacted by phone and asked to answer only four questions regarding variables that the recruitment firm thought were particularly important, given the objective of the study. The table below gives mean values for these variables.

Wave No. of Responses Age Income ($) Yrs. in Position Total Yrs. of Management Experience

1 125 30 22,000 1.2 5.1

2 100 37 27,000 4.0 9.4

3 75 42 32,500 5.1 15.1

NR 200 50 31,250 10.2 24.2

a. What was the response rate for the completed questionnaire?

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b. Which variables, if any, seem to be most affected by potential nonresponse bias? Does this tell you anything about the sample selection procedure?

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6. A large furniture store located in a city in the southwestern United States was interested in determining how households living in and around the city viewed the image of the store. Store managers hired a local market research company to collect data. The researchers drew a systematic sample of 2,500 names from the local telephone directory and set out to conduct telephone interviews. At the conclusion of the data collection phase of the project, the researchers recorded 1,223 completed interviews, 598 not-at-homes, 427 refusals, and 252 nonworking telephone numbers.

Calculate the response rate on the project?

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7. Suppose that the managers in the previous problem had decided prior to data collection to only include households that planned to make a furniture purchase in the next six months. A screening question was used to identify households that qualified to complete the survey. Further, the 2,500 elements drawn for the sample were accounted for as follows:

473 completed interviews, 612 not-at-homes, 431 refusals, 222 nonworking telephone numbers, and 762 ineligibles.

a. What was the response rate on this project?

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b. What would the response rate have been without adjusting for ineligible households?

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