Self-Check 1.2
- Page ID
- 36445
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Name:___________________________________Date:__________________Row:___________
Self-Check 1.2
For exercises 1-4, identify the type of data (quantitative discrete, quantitative continuous, or qualitative).
1. The data are the number of machines in a gym. You sample five gyms. One gym has 12 machines, one gym has 15 machines, one gym has ten machines, one gym has 22 machines, and the other gym has 20 machines.
2. The data are the areas of lawns in square feet. You sample five houses. The areas of the lawns are 144 sq. feet, 160 sq. feet, 190 sq. feet, 180 sq. feet, and 210 sq. feet.
3. The data are the colors of houses. You sample five houses. The colors of the houses are white, yellow, white, red, and white.
4. The number of cars in a parking lot.
5. A study is done to determine the average tuition that San Jose State undergraduate students pay per semester. Each student in the following samples is asked how much tuition he or she paid for the Fall semester. What is the type of sampling in each case? (simple random, stratified, systematic, cluster, or convenience).
a. A sample of 100 undergraduate San Jose State students is taken by organizing the students’
names by classification (freshman, sophomore, junior, or senior), and then selecting 25
students from each.
b. A random number generator is used to select a student from the alphabetical listing of all
undergraduate students in the Fall semester. Starting with that student, every 50th student is
chosen until 75 students are included in the sample.
c. A completely random method is used to select 75 students. Each undergraduate student in
the fall semester has the same probability of being chosen at any stage of the sampling process.
d. The freshman, sophomore, junior, and senior years are numbered one, two, three, and four,
respectively. A random number generator is used to pick two of those years. All students in
those two years are in the sample.
e. An administrative assistant is asked to stand in front of the library one Wednesday and to ask
the first 100 undergraduate students he encounters what they paid for tuition the Fall
semester. Those 100 students are the sample.
6. A local radio station has a fan base of 20,000 listeners. The station wants to know if its audience would prefer more music or more talk shows. Asking all 20,000 listeners is an almost impossible task. The station uses convenience sampling and surveys the first 200 people they meet at one of the station’s music concert events. 24 people said they’d prefer more talk shows, and 176 people said they’d prefer more music. Do you think that this sample is representative of (or is characteristic of) the entire 20,000 listener population?