Chapter 17: Additional problems: #1 The following is a contingency table. It provides data on school enrollment in thousands, by level and gender. Fill in the missing boxes and then answer the questions that follow: Male Female Total Nursery 2331 2377 4708 Kindergarten 1997 Elementary 16504 15734 High School 8393 16446 Total 29363 How many cells does this contingency table have? What is the total enrollment? How many students are female? Ho many students are in high school? How many students are male kindergarteners?
Chapter 15:
#7
So For example if you train harder then you will win a crossfit competition. This can be because of your size your genetics etc.
Chapter 17:
Additional problems:
#1 The following is a contingency table. It provides data on school enrollment in thousands, by level and gender. Fill in the missing boxes and then answer the questions that follow:
|
|
Male |
Female |
Total |
|
Nursery |
2331 |
2377 |
4708 |
|
Kindergarten |
|
1997 |
|
|
Elementary |
16504 |
15734 |
|
|
High School |
8393 |
|
16446 |
|
Total |
29363 |
|
|
- How many cells does this contingency table have?
- What is the total enrollment?
- How many students are female?
- Ho many students are in high school?
- How many students are male kindergarteners?
#2 Were the ratings given by famed critic, Gene Siskel, associated with the ratings given by his co-host, Robert Ebert? The table below summarizes their ratings for 160 movies. Carry out this hypothesis test (including the 7 steps) by hand.
|
Siskel's ratings |
Ebert's ratings |
|||
|
|
Thumbs down |
Mixed |
Thumbs up |
Total |
|
Thumbs down |
24 |
8 |
13 |
45 |
|
Mixed |
8 |
13 |
11 |
32 |
|
Thumbs up |
10 |
9 |
64 |
83 |
|
Total |
42 |
30 |
88 |
160 |
What can you conclude about whether or not their ratings are related?
#3 The following is the theoretical distribution of M & M's candy colors, according to the M&M/MARS company.
|
Color |
Percentage |
|
Brown |
30 |
|
Yellow |
20 |
|
Red |
20 |
|
Orange |
10 |
|
Green |
10 |
|
Blue |
10 |
A researcher, R. Fricker, Jr., obtained three bags of M&M's from the store and counted the number of each color of M&M's. The following is what he found:
|
Color |
Percentage |
|
Brown |
152 |
|
Yellow |
114 |
|
Red |
106 |
|
Orange |
51 |
|
Green |
43 |
|
Blue |
43 |
Is the distribution of colors in Fricker's sample a good "fit" with the distribution specified by the company? Carry this out by hand (don't forget about the seven steps).
The following questions are about the article on lone-wolf terrorists:
#1 What kind of chi-square test is being used in this article?
#2 Why do you think the author chose to use this kind of statistical test?
#3 Choose three of the many chi-square tests conducted in the article and identify the following:
- What are the variables being examined?
- What is the value of chi-square?
- What was the decision about the null hypothesis?
- What do these results mean? How might they be useful in combatting terrorism?
To link to this article: http://dx.doi.org/10.1080/1057610X.2013.842123
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