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statistics alive

Questions and Answers of Statistics Alive

For the situations described .decide whether the alternative hypothesis for the Wilcoxon signed-rank test is one- or two-tailed.Then give the null and alternative hypotheses for the test 2. You want
1. What three statistical tests are available for testing for a difference in location for two populations when the data are paired? What assumptions are required for each of these tests?
An experiment was conducted to compare the densities of cakes prepared from two different cake mixes, A and B. Six cake pans received batter A, and six received batter B. Expecting a variation in
12. Lead Levels in Blood A study reported in the American Journal of Public Health (Science News) followed blood lead levels in handgun hobbyists using indoor firing ranges.6 Lead exposure
9. AIDS Research Scientists have shown that a newly developed vaccine can shield rhesus monkeys from infection by the SIV virus, a virus closely related to the HIV virus which affects humans. In
8. Lighting in the Classroom The productivity of 35 students was measured both before and after the installation of new lighting in their classroom. The productivity of 21 of the 35 students was
6. Taste Testing In a head-to-head taste test of storebrand foods versus national brands, Consumer Reports found that it was hard to tell the difference.4 If the national brand is indeed better than
Apply the large-sample approximation to the Wilcoxon rank sum test using the information. Calculate the p-value for the test. What is your conclusion with a 5.05?6. You wish to detect a shift in
Apply the large-sample approximation to the Wilcoxon rank sum test using the information. Calculate the p-value for the test. What is your conclusion with a 5.05?5. Independent random samples of size
In using the Wilcoxon rank sum test should you use T1 or T1* as the test statistic?What is the rejection region for the test if a 5.05? What is the rejection region for the test if a 5.01? 2. The
In using the Wilcoxon rank sum test should you use T1 or T1* as the test statistic?What is the rejection region for the test if a 5.05? What is the rejection region for the test if a 5.01? 1. You
7. Taste Testing, continued In Exercise 6, we tried to prove that the national brand tasted better than the store brand. Perhaps, however, the store brand has the better taste!a. State the null and
11. Machine Breakdowns The number of machine breakdowns per month was recorded for 9 months on two identical machines, A and B, used to make wire rope:a. Do the data provide sufficient evidence to
14. The chi-square test when r5c52 (Section 14.5)is equivalent to the two-tailed z-test of Section 9.5 provided a is the same for the two tests. Show algebraically that the chi-square test statistic
A simple test of a single multinomial experiment can be set up by considering whether the proportions of male and female statistics students are the same—that is, 5.5 1 p and 5.5 2 p .
Suppose you have recorded the gender (M or F) and the college status (Fr, So, Jr, Sr, G) for 100 statistics students. The MINITAB worksheet would contain two columns of 100 observations each. Each
Suppose that a consumer survey summarized the responses of n = 307 people in a contingency table. Use the information to find the appropriate degrees of freedom for the chisquare test of
Suppose that a consumer survey summarized the responses of n = 307 people in a contingency table. Use the information to find the appropriate degrees of freedom for the chisquare test of
Suppose that a consumer survey summarized the responses of n = 307 people in a contingency table. Use the information to find the appropriate degrees of freedom for the chisquare test of
Suppose that a consumer survey summarized the responses of n = 307 people in a contingency table. Use the information to find the appropriate degrees of freedom for the chisquare test of
Refer to Example 14.3. Do the data present sufficient evidence to indicate that the type of furniture defect varies with the shift during which the piece of furniture is produced?
A total of n5309 furniture defects were recorded and the defects were classified into four types: A, B, C, or D. At the same time, each piece of furniture was identified by the production shift in
28. Admission Standards A large university reports that of the total number of persons who apply for admission, 60% are admitted unconditionally, 5% are admitted on a trial basis, and the remainder
25. Snap Peas Suppose you are interested in following two independent traits in snap peas—seed texture(S5smooth, s5wrinkled) and seed color (Y5yellow, y5green)—in a second-generation cross of
20. Peonies A peony plant with red petals was crossed with another plant having streaky petals. A geneticist states that 75% of the offspring from this cross will have red flowers. To test this
1. List the characteristics of a multinomial experiment.
Suppose you want to relate a random variable y to two independent variables 1 x and 2 x . The multiple regression model is with the mean value of y given as This equation is a three-dimensional
How do real estate agents decide on the asking price for a newly listed condominium?A computer database in a small community contains the listed selling price y (in thousands of dollars), the amount
Planes in Three-Dimensional Space Suppose that E(y)is related to two predictor variables, 1 x and 2 x , by the equations given. Graph E(y) versus 1 x for values of x 50 2 , 1, and 2 on the same sheet
Planes in Three-Dimensional Space Suppose that E(y)is related to two predictor variables, 1 x and 2 x , by the equations given. Graph E(y) versus 1 x for values of x 50 2 , 1, and 2 on the same sheet
Planes in Three-Dimensional Space Suppose that E(y)is related to two predictor variables, 1 x and 2 x , by the equations given. Graph E(y) versus 1 x for values of x 50 2 , 1, and 2 on the same sheet
4. Refer to the models in Exercises 1–3. Suppose in a practical situation you want to model the relationship between E(y) and two predictor variables, 1 x and 2 x . What is the implication of using
The MINITAB and MS Excel outputs were generated for a multiple linear regression analysis. What model has been fitted to the data, and what is the least-squares prediction equation?Fill in the blanks
The MINITAB and MS Excel outputs were generated for a multiple linear regression analysis. What model has been fitted to the data, and what is the least-squares prediction equation?Fill in the blanks
Suppose that you fitted the modelto 15 data points and found F equal to 57.44. Use this information to answer 9. Do the data provide sufficient evidence to indicate that the model contributes
Suppose that you fitted the modelto 15 data points and found F equal to 57.44. Use this information to answer 10. Use the value of F to calculate R2. Interpret its value. E(y) B+Bx + Bx + Bxz
Use the computer output below for the model given in Example I to answer11. Which, if any, of the independent variables 1 x , 2 x , and 3 x contribute information for the prediction of y? b = 1.04 b
Use the computer output below for the model given in Example I to answer12. Give the least-squares prediction equation. b = 1.04 b = 1.29 SE(b) = .42 b = 2.72 b = .41 SE(b) = .65 SE(b) = .17
Use the computer output below for the model given in Example I to answer13. On the same sheet of graph paper, graph y versus 1 x when 51 2 x and 50 3 x and when 51 2 x and 5.5 3 x .What relationship
Use the computer output below for the model given in Example I to answer14. What is the practical interpretation of the parameter b1? b = 1.04 b = 1.29 SE(b) = .42 b = 2.72 b = .41 SE(b) = .65 SE(b)
15. Corporate Profits To study the relationship of advertising and capital investment to corporate profits, the following data, recorded in units of$100,000, were collected for 10 medium-sized firms
16. Choosing a Good Camera Cameras come with many options, and it appears that the more that you want, the higher the cost of the camera Consumer Reports1 has rated n525 cameras on qualities that we
17. Choosing a Good Camera II Refer to Exercise 16.The Best Subsets command in MINITAB provides output in which R2 and R2(adj) are calculated for subsets of the five independent variables. The
In a study of variables that affect productivity in the retail grocery trade, W. S. Good uses value added per work-hour to measure the productivity of retail grocery outlets.2 He defines “value
1. What type of model have you chosen to fit the data?A Quadratic Model Suppose that you fitted the model E(y) x x 0 1 2 2 5b 1b 1b to n520 data points and obtained the following MINITAB printout
2. How well does the model fit the data? Explain.A Quadratic Model Suppose that you fitted the model E(y) x x 0 1 2 2 5b 1b 1b to n520 data points and obtained the following MINITAB printout
3. Do the data provide sufficient evidence to indicate that the model contributes information for the prediction of y? Use the p-value approach.A Quadratic Model Suppose that you fitted the model
4. What is the prediction equation?A Quadratic Model Suppose that you fitted the model E(y) x x 0 1 2 2 5b 1b 1b to n520 data points and obtained the following MINITAB printout Regression Analysis: y
5. Graph the prediction equation over the interval 0# x #10.A Quadratic Model Suppose that you fitted the model E(y) x x 0 1 2 2 5b 1b 1b to n520 data points and obtained the following MINITAB
6. What is your estimate of the average value of y when x50?A Quadratic Model Suppose that you fitted the model E(y) x x 0 1 2 2 5b 1b 1b to n520 data points and obtained the following MINITAB
7. Do the data provide sufficient evidence to indicate that the average value of y differs from 0 when x50?A Quadratic Model Suppose that you fitted the model E(y) x x 0 1 2 2 5b 1b 1b to n520 data
8. Suppose that the relationship between E(y) and x is a straight line. What would you know about the value of b2?A Quadratic Model Suppose that you fitted the model E(y) x x 0 1 2 2 5b 1b 1b to n520
9. Do the data provide sufficient evidence to indicate curvature in the relationship between y and x?A Quadratic Model Suppose that you fitted the model E(y) x x 0 1 2 2 5b 1b 1b to n520 data points
12. College Textbooks A publisher of college textbooks conducted a study relating profit per text y to cost of sales x over a 6-year period when its sales force (and sales costs) were growing
14. Lexus, Inc. The Lexus GX is a midsize sport utility vehicle (SUV) sold in North American and Eurasian markets by Lexus. The sales of the Lexus GX 470 from 2003 to 2017 are given in the tablea.
15. Metal Corrosion and Soil Acids In an investigation to determine the relationship between the degree of metal corrosion and the length of time the metal is exposed to the action of soil acids, the
16. The data in Exercise 15 were fitted to a linear model without the quadratic term with the results that follow.a. What can you say about the contribution of the quadratic term when it is included
Random samples of six female and six male assistant professors were selected from among the assistant professors in a college of arts and sciences. The data on salary and years of experience are
Suppose that E(y) is related to two predictor variables 1 x and 2 x using one of two modelsUse these two models to answer 6. Use model 1 and graph the relationship between E(y)and 1 x when 0 2 x 5 .
Suppose that E(y) is related to two predictor variables 1 x and 2 x using one of two modelsUse these two models to answer 7. Repeat the instructions in Exercise 6 using model 2. Model 1: E(y)=3+x -
Suppose that E(y) is related to two predictor variables 1 x and 2 x using one of two modelsUse these two models to answer 8. Note that the equations for the two models are almost the same except that
Suppose that E(y) is related to two predictor variables 1 x and 2 x using one of two modelsUse these two models to answer 9. What flexibility is added to the first-order model Model 1: E(y)=3+x -
multiple linear regression model involving one qualitative and one quantitative independent variable produced this prediction equation:Use this information to answer 10. Which of the two variables is
multiple linear regression model involving one qualitative and one quantitative independent variable produced this prediction equation:Use this information to answer 11. If 1 x can take only the
multiple linear regression model involving one qualitative and one quantitative independent variable produced this prediction equation:Use this information to answer 12. Graph the two equations found
14. Managing Your Money A savings and loan corporation wants to find out if the amount of money in family savings accounts can be predicted using three independent variables—annual income, number
15. Less Red Meat! If you want to “eat right,”you could reduce your intake of red meat and substitute poultry or fish. Researchers tracked beef and chicken consumption, y (in annual pounds per
16. Cotton versus Cucumber In Chapter 11, you used the analysis of variance procedure to analyze a 233 factorial experiment in which each factor–level combination was replicated five times. The
17. Achievement Scores III The Academic Performance Index (API) has been used to measure school achievement. Scores for 12 elementary schools are shown below, along with several other independent
18. Construction Projects An analyst wanted to predict the time required to complete a construction project (y) using four variables—size of the contract 1 x (in $1000 units), number of workdays
1. Biotin Intake in Chicks Groups of 10-dayold chicks were randomly assigned to seven treatment groups in which a basal diet was supplemented with 0, 50, 100, 150, 200, 250, or 300
2. Advertising and Sales A department store investigated the effects of advertising expenditures on the weekly sales for its men’s wear, children’s wear, and women’s wear departments. Five
4. Demand for Utilities The effect of mean monthly daily temperature 1 x and cost per kilowatthour 2 x on the mean daily household consumption of electricity (in kilowatt-hours, kWh) was the subject
5. Mercury Concentration in Dolphins The mercury concentrations in striped dolphins were measured as part of a marine pollution study. This concentration is expected to differ in males and females
6. GRE Scores The quantitative reasoning scores on the Graduate Record Examination (GRE)7 were recorded for students admitted to three different graduate programs at a local university. These data
7. On the Road Again Performance tires used to be fitted mostly on sporty or luxury vehicles.Now they come standard on many standard vehicles.The data that follow are abstracted from a report on
8. Tuna Fish The tuna fish data from Exercise 14(Section 11.2) were analyzed as a completely randomized design with four treatments. However we could also view the experimental design as a 232
9. Tuna, continued Refer to Exercise 8. The hypothesis tested in Chapter 11—that the average prices for the four types of tuna are the same—is equivalent to saying that E(y) will not change as 1
10. Quality Control A manufacturer recorded the number of defective items (y) produced on a given day by each of 10 machine operators and also recorded the average output per hour ( ) 1 x for each
1. Plot the data and sketch what you consider to be the best-fitting linear, quadratic, cubic, or quartic models. (hint: a quadratic curve changes curvature once while a cubic curve changes curvature
2. Fit what you think is an appropriate model. Produce a plot of the residuals from your model versus x. If there is a pattern to the residuals, what term or terms would you consider including in
3. Run a best-subsets regression with x, x2, x3, and x4 as possible predictors. What is the best-fitting model based on values of R2 (adj).In Chapter 12 we examined the effect of foreign competition
4. Fit a cubic model if you have not yet done so. Is the fit significantly better than your model in part 2? Are there any patterns in the residuals plotted against x? Does it appear that there are
3. Advertising and Sales, continued Refer to Exercise 2. Use a computer software package to perform the multiple regression analysis and obtain diagnostic plots if possible.a. Comment on the fit of
Suppose that a response variable y is related to four predictor variables, 1 x , 2 x , 3 x , and 4 x , so that k54.1. Enter the observed values of y and each of the k54 predictor variables into the
Suppose that a response variable y is related to four predictor variables, 1 x , 2 x , 3 x , and 4 x , so that k54.1. Enter the observed values of y and each of the k54 predictor variables into the
Refer to the real estate data of Example 13.2 that relate the listed selling price y to the square feet of living area 1 x , the number of floors 2 x , the number of bedrooms 3 x , and the number of
13. Particle Board A quality control engineer wants to predict the strength of particle board y as a function of the size of the particles 1 x and two types of bonding compounds. If the basic
Suppose you wish to predict production yield y as a function of several independent predictor variables. For the situations given indicate whether each of the following independent variables is
Suppose you wish to predict production yield y as a function of several independent predictor variables. For the situations given indicate whether each of the following independent variables is
Suppose you wish to predict production yield y as a function of several independent predictor variables. For the situations given indicate whether each of the following independent variables is
Suppose you wish to predict production yield y as a function of several independent predictor variables. For the situations given indicate whether each of the following independent variables is
Suppose you wish to predict production yield y as a function of several independent predictor variables. For the situations given indicate whether each of the following independent variables is
Refer to Example 13.6. Do the data provide sufficient evidence to indicate that the annual rate of increase in male assistant professor salaries exceeds the annual rate of increase in female
A study examined the relationship between university salary y, the number of years of experience of the faculty member, and the gender of the faculty member. If you expect a straight-line
13. College Textbooks II Refer to Exercise 12.a. Use the values of SSR and Total SS to calculate R2.Compare this value with the value given in the printout.b. Calculate R2 (adj). When would it be
Refer to the quadratic model used for Exercises 1–9. Suppose that y is the profit for some business and x is the amount of capital invested, and you know that the rate of increase in profit for a
Refer to the quadratic model used for Exercises 1–9. Suppose that y is the profit for some business and x is the amount of capital invested, and you know that the rate of increase in profit for a
Refer to the data on grocery retail outlet productivity and outlet size in Example 13.3. MINITAB was used to fit a quadratic model to the data and to graph the quadratic prediction curve, along with
Refer to the MINITAB and MS Excel outputs in Exercises 5–6. Which if any of the partial regression coefficients are significant in the presence of other predictors already in the model?What

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