Question 1

The mean is

Accepted Answer

The answer of The mean is
...

Question 2

You discover that the years of marriage before a divorce for nine Whites and nine non-Whites are as follows: Whites 12, 1, 8, 9, 10, 17, 3, 6, 6 Non-Whites 1, 9, 15, 18, 11, 13, 14, 7, 3
Which statement about this data is TRUE?

Accepted Answer

On average, non-Whites stay married longer prior to divorce than the Whites.

Question 3

Refer to the information provided in Table 12.3 below to answer the questions that follow.
Table 12.3:
Annual Family Income and Education* Statistics for Three Neighborhoods
 $$\begin{array} { l | llllll } 
&  { \text { GLENBROOK } } && { \text { MEADOWBROOK } } && { \text { ELMBROOK } } \
& \text { Income } & \text { Education } & \text { Income } & \text { Education } & \text { Income } & \text { Education } \
\hline \text { Mean } & \$ 78,000 & 17 \text { Years } & \$ 28,000 & 15 \text { Years } & \$ 16,000 & 11 \text { Years } \
\text { Median } & \$ 27,000 & 18 & \$ 28,000 & 16 & \$ 18,000 & 11 \
\text { Mode } & \$ 26,000 & 20 & \$ 28,000 & 11 & \$ 14,000 & 11 \
\text { Stand Dev. } & \$ 8,000 & 3 & \$ 2,000 & 6 & \$ 3,000 & 1.0 \
\text { (N) } & ( 300 ) & & ( 300 ) & & ( 300 ) &
\end{array}$$ *4 yrs college = 16 yrs; masters/law degrees = 18 yrs; Ph.D/MD degrees = 20 yrs.
-Which neighborhood has the largest number of families with the lowest income?

Accepted Answer

Elmbrook has the lowest mean, median, and mode income values, indicating it has the largest number of families with the lowest income.

Question 4

Professor Smith found a relationship between education and occupation. However, when she introduced age as a test factor, the relationship between education and occupation disappeared in the partials. This illustrates

Accepted Answer

This illustrates an explanation pattern, where the introduction of a third variable (age) accounts for the relationship between the initial two variables (education and occupation), causing the original relationship to disappear.

Question 5

The mode is

Accepted Answer

The answer of The mode is
...

Question 6

What percentage of Whites, who strongly accept the idea of a close relative marrying a Black person also support increased immigration into the United States?

Accepted Answer

16.8% of Whites who strongly accept the idea of a close relative marrying a Black person also support increased immigration into the United States.

Question 7

Refer to the information provided in Table 12.3 below to answer the questions that follow.
Table 12.3:
Annual Family Income and Education* Statistics for Three Neighborhoods
 $$\begin{array} { l | llllll } 
&  { \text { GLENBROOK } } && { \text { MEADOWBROOK } } && { \text { ELMBROOK } } \
& \text { Income } & \text { Education } & \text { Income } & \text { Education } & \text { Income } & \text { Education } \
\hline \text { Mean } & \$ 78,000 & 17 \text { Years } & \$ 28,000 & 15 \text { Years } & \$ 16,000 & 11 \text { Years } \
\text { Median } & \$ 27,000 & 18 & \$ 28,000 & 16 & \$ 18,000 & 11 \
\text { Mode } & \$ 26,000 & 20 & \$ 28,000 & 11 & \$ 14,000 & 11 \
\text { Stand Dev. } & \$ 8,000 & 3 & \$ 2,000 & 6 & \$ 3,000 & 1.0 \
\text { (N) } & ( 300 ) & & ( 300 ) & & ( 300 ) &
\end{array}$$ *4 yrs college = 16 yrs; masters/law degrees = 18 yrs; Ph.D/MD degrees = 20 yrs.
-Which neighborhood has the greatest variation in the amount of education people have?

Accepted Answer

Meadowbrook has the greatest variation in the amount of education people have, as indicated by the highest standard deviation in education years (6 years).

Question 8

Use the information in this table to answer the following questions.
 $$\begin{array} { c l l } 
\text { TYPE OF CRIME } & \text { Male } & \text { Female } \
\hline \text { Violent } & 20 \% & 10 \% \
\hline \text { Property } & 80 \% & 90 \% \
& 100 \% & 100 \% \
& ( 800 ) & ( 400 )
\end{array}$$
-Among the violent offenders, what is the ratio of males to females?

Accepted Answer

The table shows that 20% of 800 male offenders and 10% of 400 female offenders are involved in violent crimes. This translates to 160 male offenders (20% of 800) and 40 female offenders (10% of 400), making the ratio of males to females among violent offenders 160:40, which simplifies to 4:1.

Question 9

Looking at data from the above two tables, which of the following is TRUE?

Accepted Answer

Over one-half of Whites who strongly oppose having a relative marrying a Black person also want a decrease in immigrants coming to the U.S.

Question 10

Refer to the information provided in Table 12.3 below to answer the questions that follow.
Table 12.3:
Annual Family Income and Education* Statistics for Three Neighborhoods
 $$\begin{array} { l | llllll } 
&  { \text { GLENBROOK } } && { \text { MEADOWBROOK } } && { \text { ELMBROOK } } \
& \text { Income } & \text { Education } & \text { Income } & \text { Education } & \text { Income } & \text { Education } \
\hline \text { Mean } & \$ 78,000 & 17 \text { Years } & \$ 28,000 & 15 \text { Years } & \$ 16,000 & 11 \text { Years } \
\text { Median } & \$ 27,000 & 18 & \$ 28,000 & 16 & \$ 18,000 & 11 \
\text { Mode } & \$ 26,000 & 20 & \$ 28,000 & 11 & \$ 14,000 & 11 \
\text { Stand Dev. } & \$ 8,000 & 3 & \$ 2,000 & 6 & \$ 3,000 & 1.0 \
\text { (N) } & ( 300 ) & & ( 300 ) & & ( 300 ) &
\end{array}$$ *4 yrs college = 16 yrs; masters/law degrees = 18 yrs; Ph.D/MD degrees = 20 yrs.
-Which neighborhood has half or more who have completed a Masters, Ph.D, MD, law degree?

Accepted Answer

The median education level in Glenbrook is 18 years, indicating that at least half of the population has completed a master's or law degree, as per the education years' explanation provided.

Question 11

Refer to the information provided in Table 12.3 below to answer the questions that follow.
Table 12.3:
Annual Family Income and Education* Statistics for Three Neighborhoods
 $$\begin{array} { l | llllll } 
&  { \text { GLENBROOK } } && { \text { MEADOWBROOK } } && { \text { ELMBROOK } } \
& \text { Income } & \text { Education } & \text { Income } & \text { Education } & \text { Income } & \text { Education } \
\hline \text { Mean } & \$ 78,000 & 17 \text { Years } & \$ 28,000 & 15 \text { Years } & \$ 16,000 & 11 \text { Years } \
\text { Median } & \$ 27,000 & 18 & \$ 28,000 & 16 & \$ 18,000 & 11 \
\text { Mode } & \$ 26,000 & 20 & \$ 28,000 & 11 & \$ 14,000 & 11 \
\text { Stand Dev. } & \$ 8,000 & 3 & \$ 2,000 & 6 & \$ 3,000 & 1.0 \
\text { (N) } & ( 300 ) & & ( 300 ) & & ( 300 ) &
\end{array}$$ *4 yrs college = 16 yrs; masters/law degrees = 18 yrs; Ph.D/MD degrees = 20 yrs.
-Which neighborhood has the smallest average variation distribution) among the incomes of families?

Accepted Answer

Meadowbrook has the smallest average variation in family incomes, indicated by the smallest standard deviation of $2,000.

Question 12

All the sales representatives at Allcity Insurance are female, and their mean annual salary is $60,000 with a standard deviation of $5,000. All customer account managers are male and they have a mean salary of $80,000 with a standard deviation of $15,000. Heather knows she is one standard deviation above the mean of the sales representatives. She wants to transfer to become the first female customer account manager and will begin at her same salary. After she transfers, compared to the customer account managers her salary will be at what z-score?

Accepted Answer

Heather's salary as a sales representative is one standard deviation above the mean for her group, so her salary is $60,000 + $5,000 = $65,000. To find her z-score among the customer account managers, we use the formula $z = \frac{(X - \mu)}{\sigma}$, where $X$ is Heather's salary, $\mu$ is the mean salary of the customer account managers, and $\sigma$ is the standard deviation of the customer account managers' salaries. Plugging in the values, we get $z = \frac{(65,000 - 80,000)}{15,000} = \frac{-15,000}{15,000} = -1$. This means Heather's salary will be 1 standard deviation below the mean salary of the customer account managers.

Question 13

Connie and Tom both got 75% correct on the research methods final exam. The mean for all women who took the test was 80% and the median was 75% with a standard deviation of 5%. The mean for the men was 65% correct and the median was 65% with a standard deviation of 10%. What is the z-score for Connie and Tom relative to those of their own sex?

Accepted Answer

To calculate the z-score, use the formula: z = (X - μ) / σ, where X is the score, μ is the mean, and σ is the standard deviation. For Connie: z = (75 - 80) / 5 = -1. For Tom: z = (75 - 65) / 10 = +1.

Question 14

Use the information in this table to answer the following questions.
 $$\begin{array} { c l l } 
\text { TYPE OF CRIME } & \text { Male } & \text { Female } \
\hline \text { Violent } & 20 \% & 10 \% \
\hline \text { Property } & 80 \% & 90 \% \
& 100 \% & 100 \% \
& ( 800 ) & ( 400 )
\end{array}$$
-How many males were arrested for committing a violent crime?

Accepted Answer

The table shows that 20% of the males arrested were for violent crimes. Since there were 800 males arrested in total, 20% of 800 is 160.

Question 15

Refer to the information provided in Table 12.3 below to answer the questions that follow.
Table 12.3:
Annual Family Income and Education* Statistics for Three Neighborhoods
 $$\begin{array} { l | llllll } 
&  { \text { GLENBROOK } } && { \text { MEADOWBROOK } } && { \text { ELMBROOK } } \
& \text { Income } & \text { Education } & \text { Income } & \text { Education } & \text { Income } & \text { Education } \
\hline \text { Mean } & \$ 78,000 & 17 \text { Years } & \$ 28,000 & 15 \text { Years } & \$ 16,000 & 11 \text { Years } \
\text { Median } & \$ 27,000 & 18 & \$ 28,000 & 16 & \$ 18,000 & 11 \
\text { Mode } & \$ 26,000 & 20 & \$ 28,000 & 11 & \$ 14,000 & 11 \
\text { Stand Dev. } & \$ 8,000 & 3 & \$ 2,000 & 6 & \$ 3,000 & 1.0 \
\text { (N) } & ( 300 ) & & ( 300 ) & & ( 300 ) &
\end{array}$$ *4 yrs college = 16 yrs; masters/law degrees = 18 yrs; Ph.D/MD degrees = 20 yrs.
-Which neighborhood has a tiny number of very high income people, while more families earn $26,000 than any other amount?

Accepted Answer

Glenbrook has a mode of $26,000, indicating more families earn this amount than any other, but a high mean income of $78,000, suggesting a small number of very high income earners skewing the average.

Question 16

Refer to the information provided in Table 12.3 below to answer the questions that follow.
Table 12.3:
Annual Family Income and Education* Statistics for Three Neighborhoods
 $$\begin{array} { l | llllll } 
&  { \text { GLENBROOK } } && { \text { MEADOWBROOK } } && { \text { ELMBROOK } } \
& \text { Income } & \text { Education } & \text { Income } & \text { Education } & \text { Income } & \text { Education } \
\hline \text { Mean } & \$ 78,000 & 17 \text { Years } & \$ 28,000 & 15 \text { Years } & \$ 16,000 & 11 \text { Years } \
\text { Median } & \$ 27,000 & 18 & \$ 28,000 & 16 & \$ 18,000 & 11 \
\text { Mode } & \$ 26,000 & 20 & \$ 28,000 & 11 & \$ 14,000 & 11 \
\text { Stand Dev. } & \$ 8,000 & 3 & \$ 2,000 & 6 & \$ 3,000 & 1.0 \
\text { (N) } & ( 300 ) & & ( 300 ) & & ( 300 ) &
\end{array}$$ *4 yrs college = 16 yrs; masters/law degrees = 18 yrs; Ph.D/MD degrees = 20 yrs.
-Which neighborhood has the greatest average variation distribution) among the incomes of families?

Accepted Answer

Glenbrook has the highest standard deviation (\$8,000) among the incomes, indicating the greatest average variation in family incomes.

Question 17

Professor Wilton decided to test the hypothesis that people with blonde hair have more fun than people with other hair colors. Wilton surveyed 1600 people and obtained the following results. Hair Color
$$\begin{array} { l l l l l } 
\text { Amount of Fun } & \text { Blondes } & \text { Redhead } & \text { Other } & \text { Total } \
\hline \text { Lots of fun } & 250 & 50 & 300 & 600 \
\hline \text { Some fun } & 100 & 200 & 100 & 400 \
\text { No fun } & 150 & 150 & 300 & 600 \
\text { Total } & 500 & 400 & 700 & 1600
\end{array}$$ For this hypothesis, the BEST way to percentage the table is are)

Accepted Answer

To analyze the hypothesis that people with blonde hair have more fun, it's most appropriate to compare the proportion of fun within each hair color category. This means calculating percentages down each column to see what proportion of blondes, redheads, and others report having lots of fun, some fun, or no fun. This approach directly addresses the hypothesis by comparing fun levels within each hair color group.

Question 18

The median is

Accepted Answer

The answer of The median is
...

Question 19

Based on Table 12.4, what type of relationship is there between degree of violence in the crime committed and level of education?

Accepted Answer

A negative relationship suggests that as the level of education increases, the degree of violence in the crime committed decreases, or vice versa. This is typically observed in studies showing that higher education levels are associated with lower rates of violent crime.

Question 20

How many people in the study who have more than a college degree 17+ years education) were arrested for committing a medium violent crime?

Accepted Answer

The answer of How many people in the study who...

Quiz 12: Analysis of Quantitative Data