Chapter 1: Q.1.8. (page 11)
The data are the colors of houses. You sample five houses. The colors of the houses are white, yellow, white, red, and white. What type of data is this?
The colors white, yellow, white, red, and white are qualitative data.
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What type of measure scale is being used? Nominal, ordinal, interval or ratio.
a. High school soccer players classified by their athletic ability: Superior, Average, Above average
b. Baking temperatures for various main dishes: 350, 400, 325, 250, 300
c. The colors of crayons in a 24-crayon box
d. Social security numbers
e. Incomes measured in dollars
f. A satisfaction survey of a social website by number: 1 = very satisfied, 2 = somewhat satisfied, 3 = not satisfied
g. Political outlook: extreme left, left-of-center, right-of-center, extreme right
h. Time of day on an analog watch
i. The distance in miles to the closest grocery store
j. The dates 1066, 1492, 1644, 1947, and 1944
k. The heights of 21–65 year-old women
l. Common letter grades: A, B, C, D, and F
Use the following data to answer the next five exercises: Two researchers are gathering data on hours of video games played by school-aged children and young adults. They each randomly sample different groups of 150 students from the same school. They collect the following data.
Would the sample size be large enough if the population is school-aged children and young adults in the United States?
For the following exercises, identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the data. percent of body fat
The instructor’s sample produces a mean number of days absent of 3.5 days. This value is an example of a:
a. parameter.
b. data.
c. statistic.
d. variable.
1.11 You are going to use the random number generator to generate different types of samples from the data.
This table displays six sets of quiz scores (each quiz counts 10 points) for an elementary statistics class.
Instructions: Use the Random Number Generator to pick samples.
1. Create a stratified sample by column. Pick three quiz scores randomly from each column.
◦ Number each row one through ten.
◦ On your calculator, press Math and arrow over to PRB.
◦ For column 1, Press 5:randInt( and enter 1,10). Press ENTER. Record the number. Press ENTER 2 more
times (even the repeats). Record these numbers. Record the three quiz scores in column one that correspond
to these three numbers.
◦ Repeat for columns two through six.
◦ These 18 quiz scores are a stratified sample.
2. Create a cluster sample by picking two of the columns. Use the column numbers: one through six.
◦ Press MATH and arrow over to PRB.
◦ Press 5:randInt( and enter 1,6). Press ENTER. Record the number. Press ENTER and record that number.
◦ The two numbers are for two of the columns.
◦ The quiz scores (20 of them) in these 2 columns are the cluster sample.
3. Create a simple random sample of 15 quiz scores.
◦ Use the numbering one through 60.
◦ Press MATH. Arrow over to PRB. Press 5:randInt( and enter 1, 60).
◦ Press ENTER 15 times and record the numbers.
◦ Record the quiz scores that correspond to these numbers.
◦ These 15 quiz scores are the systematic sample.
4. Create a systematic sample of 12 quiz scores.
◦ Use the numbering one through 60.
◦ Press MATH. Arrow over to PRB. Press 5:randInt( and enter 1, 60).
◦ Press ENTER. Record the number and the first quiz score. From that number, count ten quiz scores and
record that quiz score. Keep counting ten quiz scores and recording the quiz score until you have a sample
of 12 quiz scores. You may wrap around (go back to the beginning).
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