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Use the following information to answer the next three exercises. A grocery store is interested in how much money, on average, their customers spend each visit in the produce department. Using their store records, they draw a sample of 1,000 visits and calculate each customer’s average spending on produce.
1 . Identify the population, sample, parameter, statistic, variable, and data for this example.
2 . What kind of data is “amount of money spent on produce per visit”?
3 . The study finds that the mean amount spent on produce per visit by the customers in the sample is $12.84. This is an example of a:
Use the following information to answer the next two exercises. A health club is interested in knowing how many times a typical member uses the club in a week. They decide to ask every tenth customer on a specified day to complete a short survey including information about how many times they have visited the club in the past week.
4 . What kind of a sampling design is this?
5 . “Number of visits per week” is what kind of data?
6 . Describe a situation in which you would calculate a parameter, rather than a statistic.
7 . The U.S. federal government conducts a survey of high school seniors concerning their plans for future education and employment. One question asks whether they are planning to attend a four-year college or university in the following year. Fifty percent answer yes to this question; that fifty percent is a:
8 . Imagine that the U.S. federal government had the means to survey all high school seniors in the U.S. concerning their plans for future education and employment, and found that 50 percent were planning to attend a 4-year college or university in the following year. This 50 percent is an example of a:
Use the following information to answer the next three exercises. A survey of a random sample of 100 nurses working at a large hospital asked how many years they had been working in the profession. Their answers are summarized in the following (incomplete) table.
9 . Fill in the blanks in the table and round your answers to two decimal places for the Relative Frequency and Cumulative Relative Frequency cells.
# of years | Frequency | Relative Frequency | Cumulative Relative Frequency |
---|---|---|---|
<5 | 25 | ||
5–10 | 30 | ||
>10 | empty |
10 . What proportion of nurses have five or more years of experience?
11 . What proportion of nurses have ten or fewer years of experience?
12 . Describe how you might draw a random sample of 30 students from a lecture class of 200 students.
13 . Describe how you might draw a stratified sample of students from a college, where the strata are the students’ class standing (freshman, sophomore, junior, or senior).
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