Chapter 7.1, Problem 8E

To determine

To Calculate: the minimum quiz score for each sample, and display the sampling distribution of the sample minimum on a dot plot.

Answer to Problem 8E

Sample of size 2	Sample mean
Abigail-Bobby	5
Abigail-Carlos	5
Abigail-De Anna	5
Abigail-Emily	7
Bobby-Carlos	9
Bobby-De Anna	7
Bobby-Emily	5
Carlos-De Anna	5
Carlos-Emily	5
De Anna-Emily	7

Explanation of Solution

Given:

Name	Gender	Quiz Score
Abigail	Female	10
Bobby	Male	5
Carlos	Male	10
De Anna	Female	7
Emily	Female	9

Formula used:

Sample of size 3	Sample mean
Abigail-Bobby- Carlos	Min(10, 5, 10) = 5
Abigail- Bobby-De Anna	Min(10, 5, 7) = 5
Abigail-Bobby-Emily	Min(10, 5, 9) = 5
Abigail- Carlos-De Anna	Min(10, 10, 7) = 7
Abigail- Carlos- Emily	Min(10, 10, 9) = 9
Abigail- De Anna-Emily	Min(10, 7, 9) = 7
Bobby-Carlos-De Anna	Min(5, 10, 7) = 5
Bobby-Carlos-Emily	Min(5, 10, 9) = 5
Bobby-De Anna-Emily	Min(5, 7, 9) = 5
Carlos-De Anna-Emily	Min(10, 7, 9) = 7

Graph:

  

By seeing the dot plot, it is observed that centre is at about 8.25 and minimum and maximum values are 6 and 10 respectively so the range is 4 and the distribution looks slightly negative of left skewed.