Data, Sampling, and Variation in Data and Sampling · Try It 6

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.
\begin{array}{|c|c|c|c|c|c|}\hline \text{#1} & \text{#2} & \text{#3} & \text{#4} & \text{#5} & \text{#6} \\ \hline \text{5} & \text{7} & \text{10} & \text{9} & \text{8} & \text{3} \\ \hline \text{10} & \text{5} & \text{9} & \text{8} & \text{7} & \text{6} \\ \hline \text{9} & \text{10} & \text{8} & \text{6} & \text{7} & \text{9} \\ \hline \text{9} & \text{10} & \text{10} & \text{9} & \text{8} & \text{9} \\ \hline \text{7} & \text{8} & \text{9} & \text{5} & \text{7} & \text{4} \\ \hline \text{9} & \text{9} & \text{9} & \text{10} & \text{8} & \text{7} \\ \hline \text{7} & \text{7} & \text{10} & \text{9} & \text{8} & \text{8} \\ \hline \text{8} & \text{8} & \text{9} & \text{10} & \text{8} & \text{8} \\ \hline \text{9} & \text{7} & \text{8} & \text{7} & \text{7} & \text{8} \\ \hline \text{8} & \text{8} & \text{10} & \text{9} & \text{8} & \text{7} \\ \hline\end{array}

Instructions: Use the Random Number Generator to pick samples.

(a) 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.
(b) 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.
(c) 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 random sample.
(d) 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).

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Statistics 2e · §1.2 Data, Sampling, and Variation in Data and Sampling · Try It 6