A data set is formed by recording the sums in 100 rolls of a pair of dice. A second data set is formed by recording the results of 100 draws of a ball from a box containing 11 balls numbered 2 through 12 (A) Which of the two data sets would you expect to have the smaller standard deviation? Explain. (B) To obtain evidence for your answer to part (A) Use a graphing calculator to simulate both experiments and compute the standard deviations of each data set.
A data set is formed by recording the sums in 100 rolls of a pair of dice. A second data set is formed by recording the results of 100 draws of a ball from a box containing 11 balls numbered 2 through 12 (A) Which of the two data sets would you expect to have the smaller standard deviation? Explain. (B) To obtain evidence for your answer to part (A) Use a graphing calculator to simulate both experiments and compute the standard deviations of each data set.
Solution Summary: The author explains the data set with smaller standard deviation, where one set is defined as the sum of 100 rolls of a pair of dice and another is the result of 10 draws of 11 balls numbered 2 to 12.
A data set is formed by recording the sums in
100
rolls of a pair of dice. A second data set is formed by recording the results of
100
draws of a ball from a box containing
11
balls numbered
2
through
12
(A) Which of the two data sets would you expect to have the smaller standard deviation? Explain.
(B) To obtain evidence for your answer to part (A) Use a graphing calculator to simulate both experiments and compute the standard deviations of each data set.
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Hypothesis Testing and Confidence Intervals (FRM Part 1 – Book 2 – Chapter 5); Author: Analystprep;https://www.youtube.com/watch?v=vth3yZIUlGQ;License: Standard YouTube License, CC-BY