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business statistics

Questions and Answers of Business Statistics

In today’s economy, everyone has become savings savvy. It is still believed, though, that a higher percentage of women than men clip coupons. A random survey of 180 female shoppers indicated that
An instructor who taught an online statistics course and a classroom course feels that the variance of the final exam scores for the students who took the online course is greater than the variance
Random samples of batting averages from the leaders in both leagues prior to the All-Star break are shown. At the 0.05 level of significance, can a difference be concluded? 338 313 .309 .360 .654
Summer reading programs are very popular with children. At the Citizens Library, Team Ramona read an average of 23.2 books with a standard deviation of 6.1. There were 21 members on this team. Team
A recent random survey of 100 individuals in Michigan found that 80 drove to work alone. A similar survey of 120 commuters in New York found that 62 drivers drove alone to work. Find the 95%
In a study of a group of women science majors who remained in their profession and a group who left their profession within a few months of graduation, the researchers collected the data shown here
The sodium content of brands of cereal produced by two major manufacturers is shown. At Î± = 0.01, is there a significant difference in the variances? Manufacturer 1 Manufacturer 2 92 87
Two random samples of earnings of professional golfers were selected. One sample was taken from the Professional Golfers Association, and the other was taken from the Ladies Professional Golfers
Is there a significant difference at Î± = 0.10 in the mean heights in feet of waterfalls in Europe and the ones in Asia? The data are shown. Asia 722 320 722 Europe 1385 984 487 470 1246
An investing club randomly selects 15 NYSE stocks for consideration, and the prices per share are listed here. Estimate the mean price in dollars of all stocks with 95% confidence.Assume that all
Estimate the variance in mean mathematics SAT scores by state, using the randomly selected scores listed below. Estimate with 99% confidence. Assume the variable is normally distributed. 565 502 209
For the same countries used in Exercise 22, the literacy rates (in percents) for both men and women are listed.Find yÊ¹ when x = 80.For each exercise, find the equation of the regression
A random sample of nonindustrialized countries was selected, and the life expectancy in years is listed for both men and women.Find women€™s life expectancy in a country where
Here are the number of grams of water and the number of grams of carbohydrates for a random selection of raw foods (100 g each).Find yÊ¹ for x = 75.For each exercise, find the equation of
The data show the average ages and lengths of service in months.If a service person is 26.8 years old, predict the time that the person will serve.For each exercise, find the equation of the
What is the meaning of the adjusted R2? Why is it computed?
What test is used to test the significance of R?
Define the standard error of the estimate for regression. When can the standard error of the estimate be used to construct a prediction interval about a value yʹ?
What are the hypotheses used to test the significance of R?
Find the coefficients of determination and nondetermination and explain the meaning of each.r = 0.15
Define R2 and R2adj.
The average gasoline price per gallon (in cities) and the cost of a barrel of oil are shown for a random selection of weeks in 2015. Is there a linear relationship between the variables? Oil ($)
Find the coefficients of determination and nondetermination and explain the meaning of each.r = 0.12
What is the range of values R can assume?
The number of murders and robberies per 100,000 population for a random selection of states is shown. Is there a linear relationship between the variables? 2.4 2.7 5.6 2.6 2.1 3.3 6.6 5.7 Murders
Find the coefficients of determination and nondetermination and explain the meaning of each.r = 0.97
Explain the meaning of the multiple correlation coefficient R.
When two variables are correlated, can the researcher be sure that one variable causes the other? Why or why not?
Find the coefficients of determination and nondetermination and explain the meaning of each.r = 0.51
When the value of r is not significant, what value should be used to predict y?
What statistical test is used to test the significance of the correlation coefficient?
Find the coefficients of determination and nondetermination and explain the meaning of each.r = 0.44
How is the value of the correlation coefficient related to the accuracy of the predicted value for a specific value of x?
What is the name of the correlation coefficient used in this section?
Find the coefficients of determination and nondetermination and explain the meaning of each.r = 0.62
As the value of the correlation coefficient increases from 0 to 1, or decreases from 0 to −1, how do the points of the scatter plot fit the regression line?
What is the diagram of the independent and dependent variables called? Why is drawing this diagram important?
A researcher found that there are relationships between nursing home satisfaction and the age of the patient and his or her physical health. Nursing home satisfaction is measured on a scale of 1 to
What is the relationship between the sign of the correlation coefficient and the sign of the slope of the regression line?
Define the coefficient of nondetermination.
A researcher has determined that a significant relationship exists among an employee’s age x1, grade point average x2, and income y. The multiple regression equation is yʹ = −34,127 + 132x1 +
When all the points fall on the regression line, what is the value of the correlation coefficient?
What is meant when the relationship between the two variables is called positive? Negative?
How do the values of the individual correlation coefficients compare to the value of the multiple correlation coefficient?
What is the range of values for the correlation coefficient?
What are the assumptions for multiple regression?
What is the symbol for the slope? For the yʹ intercept?
A researcher feels that a pet store bases the cost of puppies on the cuteness of the animals. Eight puppies were rated on their cuteness. The ratings were from 1 to 6, with 6 being the highest
What is the symbol for the sample correlation coefficient? The population correlation coefficient?
What is meant by the total variation? How is it computed?
Why would a researcher prefer to conduct a multiple regression study rather than separate regression studies using one independent variable and the dependent variable?
What is the general form for the regression line used in statistics?
NOAA keeps track of not only deaths from lightning each year but also the circumstances under which those deaths occur. Listed below are the number of deaths from lightning other than when standing
What is meant by the unexplained variation? How is it computed?
What is the general form of the multiple regression equation? What does a represent? What do the b’s represent?
At a large department store customers were asked to rate the service and the materials purchased on a scale from 1 to 10, with 10 being the highest rating. Then the amount that they spent was
What is meant by the statement that two variables are related?
What is meant by the explained variation? How is it computed?
Explain the similarities and differences between simple linear regression and multiple regression.
What two things should be done before one performs a regression analysis?
If there is a significant difference between p1 and p2 and between p2 and p3, can you conclude that there is a significant difference between p1 and p3?
The average earnings of year-round full-time workers with bachelor’s degrees or more is $88,641 for men and $58,000 for women—a difference of slightly over $30,000 a year. One hundred of each
The percentage of males 18 years and older who have never married is 30.4. For females the percentage is 23.6. Looking at the records in a particular populous county, a random sample of 250 men
A researcher claims that students in a private school have exam scores that are at most 8 points higher than those of students in public schools. Random samples of 60 students from each type of
According to the U.S. Bureau of Labor Statistics, approximately equal numbers of men and women are engaged in sales and related occupations. Although that may be true for total numbers, perhaps the
According to the almanac, the average sales price of a single-family home in the metropolitan Dallas/Ft. Worth/Irving, Texas, area is $215,200. The average home price in Orlando, Florida, is
A company owned two small Bath and Body Goods stores in different cities. It was desired to see if there was a difference in their mean daily sales. The following results were obtained from a random
The mean travel time to work for Americans is 25.3 minutes. An employment agency wanted to test the mean commuting times for college graduates and those with only some college. Thirty-five college
Why is the critical region always on the right side in the use of the F test?
Find p̂ and q̂ for each.a. n = 36, X = 20b. n = 50, X = 35c. n = 64, X = 16d. n = 200, X = 175e. n = 148, X = 16
What three assumptions must be met when you are using the z test to test differences between two means when σ1 and σ2 are known?
As an aid for improving students€™ study habits, nine students were randomly selected to attend a seminar on the importance of education in life. The table shows the number of hours each
What are the two different degrees of freedom associated with the F distribution?
A recent study of 20 individuals found that the average number of therapy sessions a person takes for a shoulder problem is 9.6. The standard deviation of the sample was 2.8. A study of 25
Find each X, given p̂.a. p̂ = 0.60, n = 240b. p̂ = 0.20, n = 320c. p̂ = 0.60, n = 520d. p̂ = 0.80, n = 50e. p̂ = 0.35, n = 200
Show two different ways to state that the means of two populations are equal.
Find each X, given p̂.a. p̂ = 0.24, n = 300b. p̂ = 0.09, n = 200c. p̂ = 88%, n = 500d. p̂ = 40%, n = 480e. p̂ = 32%, n = 700
A researcher wishes to see if there is a difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children
A medical researcher wishes to see if he can lower the cholesterol levels through diet in 6 people by showing a film about the effects of high cholesterol levels. The data are shown. At
Using Table H, find the critical value for each.a. Sample 1: s21 = 140, n1 = 25Sample 2: s22 = 125, n2 = 14Two-tailed α = 0.05b. Sample 1: s21 = 43, n1 = 12Sample 2: s22 = 56, n2 = 16Right-tailed α
Teachers€™ Salaries New York and Massachusetts lead the list of average teacher€™s salaries. The New York average is $76,409 while teachers in Massachusetts make an average annual
Find p̅ and q̅.a. X1 = 6, n1 = 15, X2 = 9, n2 = 15b. X1 = 21, n1 = 100, X2 = 43, n2 = 150c. X1 = 20, n1 = 80, X2 = 65, n2 = 120d. X1 = 15, n1 = 50, X2 = 3, n2 = 12e. X1 = 24, n1 = 40, X2 = 18, n2 =
A statistics class was given a pretest on probability (since many had previous experience in some other class). Then the class was given a six-page review handout to study for two days. At the next
In a sample of 150 men, 132 said that they had less leisure time today than they had 10 years ago. In a random sample of 250 women, 240 women said that they had less leisure time than they had 10
Find the 90% confidence for the difference of the means in Exercise 1 of this section.Data from 1 Europe 1385 Asia 722 320 722 487 470 614 1137 350 1246 964 830 1312 984 1904 900 345 820
A researcher wanted to compare the pulse rates of identical twins to see whether there was any difference. Eight sets of twins were randomly selected. The rates are given in the table as number of
An educational researcher devised a wooden toy assembly project to test learning in 6-year-olds. The time in seconds to assemble the project was noted, and the toy was disassembled out of the
A survey of 60 men found that 36 gamble. Another survey of 50 women found that 28 gamble. At α = 0.01, is there a difference in the proportions?
A researcher wishes to see if there is a difference in the manual dexterity of athletes and that of band members. Two random samples of 30 are selected from each group and are given a manual
A ninth-grade teacher wishes to see if a new spelling program will reduce the spelling errors in his students€™ writing. The number of spelling errors made by the students in a five-page
A recent random survey of households found that 14 out of 50 householders had a cat and 21 out of 60 householders had a dog. At α = 0.05, test the claim that fewer household owners have cats than
A random survey of 80 women who were victims of violence found that 24 were attacked by relatives. A random survey of 50 men found that 6 were attacked by relatives. At α = 0.10, can it be shown
Two random samples of 32 individuals were selected. One sample participated in an activity which simulates hard work. The average breath rate of these individuals was 21 breaths per minute. The other
Find the 95% confidence interval of the difference in the distance that day students travel to school and the distance evening students travel to school. Two random samples of 40 students are taken,
A random sample of monthly gasoline prices was taken from 2011 and from 2015. The samples are shown. Using Î± = 0.01, can it be concluded that gasoline cost more in 2015? Use the P-value
A large group of friends went miniature golfing together at a par 54 course and decided to play on two teams. A random sample of scores from each of the two teams is shown. At Î± = 0.05,
In a large hospital, a nursing director selected a random sample of 30 registered nurses and found that the mean of their ages was 30.2. The population standard deviation for the ages is 5.6. She
Two random samples of professional baseball players were selected and the number of home runs hit were recorded. One sample was obtained from the National League, and the other sample was obtained
The average number of hours of television watched per week by women over age 55 is 48 hours. Men over age 55 watch an average of 43 hours of television per week. Random samples of 40 men and 40 women
The average age of pet dogs is 4.3 years. Two random samples of pet owners who own dogs are selected. Sample 1 of 13 dog owners was selected from owners who live in Miami. The standard deviation of

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