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?

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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

 

 

  1. How many cells does this contingency table have?
  2. What is the total enrollment?
  3. How many students are female?
  4. Ho many students are in high school?
  5. 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:

  1. What are the variables being examined?
  2. What is the value of chi-square?
  3. What was the decision about the null hypothesis?
  4. 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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