Ch 2 Online Homework- Part 2

Which of the four mosaic plots below shows the smallest difference in the conditional distributions of the response variable given the explanatory variable?

Graph B

Which of the four mosaic plots pictured below shows no association between the two categorical variables?

Graph B

Which of the four mosaic plots below shows the largest difference in the conditional distributions of the response variable given the explanatory variable?

Graph D

Qualifications of male and female head and assistant college athletic coaches were compared in the article "Sex Bias and the Validity of Believed Differences Between Male and Female Interscholastic Athletic Coaches" (Research Quarterly for Exercise and Sport, 1990: 259-267). Each coach was classified according to the number of years of coaching experience and sex. Below is a contingency table of sex and years of coaching experience. Which of the following is the marginal distribution for years of experience?

1-3 years = 432/3366, 4-6 years = 620/3366, 7-9 years = 720/3366, 10-12 years = 525/3366, 13 or more years = 1069/3366

The Federal Highway Administration records the number of driver fatalities in the United States every year along with the age (in ranges) and the sex of the driver. The contingency table of the age and sex of drivers killed in 2002 can be found below. What proportion of male driving fatalities were in the 21-34 age range?

13553/41968

Researchers were interested in seeing whether or not the team with the lead late in a game was more likely to win or lose based on the sport. Below is a data table showing whether the late-game leader of 10 different games won or lost and the sport (football, basketball, baseball or hockey). How many games were football when the late-game leader won?

1

Qualifications of male and female head and assistant college athletic coaches were compared in the article "Sex Bias and the Validity of Believed Differences Between Male and Female Interscholastic Athletic Coaches" (Research Quarterly for Exercise and Sport, 1990: 259-267). Each coach was classified according to the number of years of coaching experience and sex. Below is a contingency table of sex and years of coaching experience. Which of the following is the conditional distribution of years of experience for Sex = Male?

1-3 years = 202/2225; 4-6 years = 369/2225; 7-9 years = 482/2225; 10-12 years = 361/2225; 13 or more years = 811/2225

Blood is classified by blood type (either A, B, AB or O) and by Rh-level as either Rh+ or Rh-. A phlebotomist classified the blood type and Rh-level of the blood of 500 individuals. The data obtained are shown in the contingency table below. What proportion of people with Rh+ level were classified as having blood type O?

198/424

Below is a data table showing 20 observations from a larger data set that was looking at whether or not an individual showed symptoms of having a cold as well as what region of the United States he or she lived in. What value belongs in the red box of the contingency table below?

2

Below is a data table showing results from 10 individuals' acceptance letters to a certain college. The decision (Accepted or Denied) as well as the gender of the individuals were recorded. How many individuals were Male and Accepted?

2

A company packages a particular product in cans. Most cans conform to specifications, but a quality control engineer has identified the following reasons for nonconformance: Blemish on can (Blemish) Crack in can (Crack) Improper pull tab location (Location) Pull tab missing (Missing) Other A sample of nonconforming cans is selected and each can is categorized according to the reason for nonconformity and which production line produced each can. The contingency table for the reason for nonconformance and production line is shown below. What proportion of cans from production line 1 were reported as missing the pull tab?

21/150

A company packages a particular product in cans. Most cans conform to specifications, but a quality control engineer has identified the following reasons for nonconformance: Blemish on can (Blemish) Crack in can (Crack) Improper pull tab location (Location) Pull tab missing (Missing) Other A sample of nonconforming cans is selected and each can is categorized according to the reason for nonconformity and which production line produced each can. The mosaic plot for the reason for nonconformance and production line is shown below. Which of the following statements is NOT a correct interpretation of the mosaic plot?

A can from production line 3 is more likely than a can from production line 1 to be nonconforming due to a Crack.

A company packages a particular product in cans. Most cans conform to specifications, but a quality control engineer has identified the following reasons for nonconformance: Blemish on can (Blemish) Crack in can (Crack) Improper pull tab location (Location) Pull tab missing (Missing) Other A sample of nonconforming cans is selected and each can is categorized according to the reason for nonconformity and which production line produced each can. The contingency table for the reason for nonconformance and production line is shown below. Which of the following is the conditional distribution of the reason for nonconformance given the Production Line = 1?

Blemish = 34/150; Crack = 65/150; Location = 17/150; Missing = 21/150; Other = 13/150

Which of the following is/are appropriate ways to display the relationship between the variables Eye Color and Hair Color? I. Mosaic plot II. Scatterplot III. Contingency Table

I and III only

A company packages a particular product in cans. Most cans conform to specifications, but a quality control engineer has identified the following reasons for nonconformance: Blemish on can (Blemish) Crack in can (Crack) Improper pull tab location (Location) Pull tab missing (Missing) Other A sample of nonconforming cans is selected and each can is categorized according to the reason for nonconformity and which production line produced each can. The contingency table for the reason for nonconformance and production line is shown below. Which of the following is the marginal distribution for production line?

Line 1 = 150/375, Line 2 = 125/375, Line 3 = 100/375

A company packages a particular product in cans. Most cans conform to specifications, but a quality control engineer has identified the following reasons for nonconformance: Blemish on can (Blemish) Crack in can (Crack) Improper pull tab location (Location) Pull tab missing (Missing) Other A sample of nonconforming cans is selected and each can is categorized according to the reason for nonconformity and which production line produced each can. The contingency table for the reason for nonconformance and production line is shown below. The company is interested in looking at the differences in the reasons for nonconformity based on the production line of the can. In this situation, what is the response variable?

Reason for nonconformity

Blood is classified by blood type (either A, B, AB or O) and by Rh-level as either Rh+ or Rh-. A phlebotomist classified the blood type and Rh-level of the blood of 500 individuals. The data obtained are shown in the contingency table below. Which of the following is the marginal distribution for Rh-level?

Rh- = 76/500, Rh+ = 424/500

Qualifications of male and female head and assistant college athletic coaches were compared in the article "Sex Bias and the Validity of Believed Differences Between Male and Female Interscholastic Athletic Coaches" (Research Quarterly for Exercise and Sport, 1990: 259-267). Each coach was classified according to the number of years of coaching experience and sex. Below is a mosaic plot of sex and years of coaching experience. Based on the mosaic plot, choose the correct statement below.

The conditional distributions of Years of Experience given Sex are different, so there is an association between the two variables.

The Federal Highway Administration records the number of driver fatalities in the United States every year along with the age (in ranges) and the sex of the driver. The contingency table of the age and sex of drivers killed in 2002 can be found below. Which of the following is the marginal distribution for age?

Under 16 = 336/56864, 16-20 = 8082/56864, 21-34 = 17701/56864, 35-54 = 19412/56864, 55-69 = 6645/56864, 70 and over = 4688/56864

Qualifications of male and female head and assistant college athletic coaches were compared in the article "Sex Bias and the Validity of Believed Differences Between Male and Female Interscholastic Athletic Coaches" (Research Quarterly for Exercise and Sport, 1990: 259-267). Each coach was classified according to the number of years of coaching experience and sex. Below is a contingency table of sex and years of coaching experience. Researchers were interested in looking at the differences in the number of years of experience based on the sex of the coach. In this situation, what is the response variable?

Years of experience