A researcher is interested in whether there is a significant difference between the mean age of marriage across three racial groups in the 2006 General Social Survey. The data are provided in the accompanying data. If the value of the mean square within is 36.87, calculate the within- group sum of squares and the number of degrees of freedom for the within-group sum of squares. Race N Mean Black 113 25.39 White 904 22.99 Other 144 23.87 All groups 1,161 23.33

Q1. freq. density 2.0 Scores 4 10 25 In the histogram above the frequency of students who scored between O and 10 is 20. What is the frequency of students who scored between 10 and 25? A. 1.2 В. 12 C. 18 D. 25

Define the Ordinary Least Squares Estimator? how OLS Estimates the Relationship Between Test Scores and the Student–Teacher Ratio?

4r graduates and the other 2 individuals are college graduates. Assume that high school graduates earn $3 and $5 per hour while college graduates earn $7 and $9 per hour respectively. If we use variance as a measure of inequality, what is between group inequality, within group inequality and total income inequality in this economy? (Individuals are grouped with respect to their education level) Interpret the results. Consider an economy with 4 individuals: 2 of them are high school

How are quintiles calculated? Select the correct answer below: Calculated using the average of the entire population. Ranks people by age from lowest to highest and divided by five. The totals are then summed to compare to the total income. Quintiles rank the population from the lowest to highest and divides all households into five O groups of equal numbers of people. The totals are then summed to compare to the total income. Ranks the households from largest to smallest and finds the income mode.

14. A survey of 800 families with four children each revealed the following distribution : No. of boys 1 3 4 No. of girls 4 No. of families 32 178 290 236 64 Is this result consistent with the hypothesis that male and female births are equa!ly probable ?

18. Car and Taxi Ages When the author visited Dublin, Ireland (home of Guinness Breweryemployee William Gosset, who first developed the t distribution), he recorded the ages of randomlyselected passenger cars and randomly selected taxis. The ages can be found from thelicense plates. (There is no end to the fun of traveling with the author.) The ages (in years) arelisted below. We might expect that taxis would be newer, so test the claim that the mean age ofcars is greater than the mean age of taxis.

QUESTION 2 In a survey of 1,954 collphone owners, adults aged'18 and over, 743 reported that they use their phone to koep themselves occupied during commercials or breoks in something they were watching on tolovision, whilo 430 used their phone to check whether something thoy heard on television is true Construct a 90 contidence interval estmate for the poputation proportion of adult cellphorne owners who report that they use thor phone to check whether somethig they heard on television was true What s the margn of enor? Lowor imit Upper limit Margn of orror . Hint. Use PHStat and answers should be accurate to 4 decimal places.

16. A movie producer is bringing out a new movie, In order to map out his advertising, he wants to determine whether the movie will appeal most to a particular age group or whether it will appeal equally to all age groups. The producer takes a random sample from persons attending a pre-reviewing showing of the new movie and obtains the following result. Use x'-test to derive the conclusion, Age-groups Persons Under-20 20-39 40-59 60 and over Total Liked the movie 110 200 710 320 80 Disliked the movie 70 60 195 50 15 Indifferent 30 20 40 95 Total 400 100 200 300 1,000

The latest Gallup poll shows that 63 percent of Americans felt that the laws covering the sales of firearms should be made more strict, 29 percent felt that the laws should be less strict, and 7 percent felt that the laws should be less restrict. Suppose the survey were conducted among 2,000 individuals. i. What is the population for this survey? ii. What constitutes the sample?