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Chapter 7: Q. 8 (page 454)

Sample minimums List all 10possible SRSs of size n=3, calculate the minimum quiz score for each sample, and display the sampling distribution of the sample minimum on a dotplot.

Short Answer

Expert verified

The minimum sampling :

Sample of size 3
Sample Mean
Abigail - Bobby - Carlos
5
Abigail - Bobby - DeAnna
5
Abigail - Bobby - emily
5
Abigail - Carlos - DeAnna
7
Abigail - Carlos - Emily
9
Abigail - DeAnna - Emily
7
Bobby - Carlos - DeAnna
5
Bobby - Carlos - Emily
5
Bobby - DeAnna - Emily
5
Carlos - DeAnna - Emily
7

The dotplot is given below:

Step by step solution

01

Given information

We need to find minimum quiz score for each sample, and display the sampling distribution of the sample minimum on a dotplot for given table

Name
Gender
Quiz score
Abigail
Female
10
Bobby
Male
5
Carlos
Male
10
DeAnna
Female
7
Emily
Female
9
02

Simplify

As we know sample mean is minimum of the quiz score of sample.

Now, n=3, therefore,

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

A dot plot is a graph that shows the distribution of numerical variables by using dots to represent values.
If a value appears more than once in a whole number, the dots are stacked one on top of the other, with the height of the column of dots representing the frequency of that value.

Now from the above table, dot plot will be :

From dot plot,

Centre is about 8.25

Minimum =6

Maximum =10

Range =4

The distribution is slightly negative of left skewed.

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Most popular questions from this chapter

The distribution of grade point average for students at a large high school is skewed to the left with a mean of 3.53 and a standard deviation of 1.02.

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