Essential Mathematics And Statistics For Science 2nd Edition Graham Currell, Dr. Antony Dowman - Solutions

14.26 Of a random sample of 130 voters, 44 favored a state tax increase to raise funding for education, 68 opposed the tax increase, and 18 expressed no opinion. Test, against a two-sided alternative, the null hypothesis that voters in the state are evenly divided on the issue of this tax increase.
14.25 A sample of 75 corporations buying back franchises was examined. Of these cases, returns on common stock around the buyback announcement date were positive 52 times, negative 15 times, and zero 8 times.Test the null hypothesis that positive and negative returns are equally likely against the
14.24 A sample of 11 managers in retail stores having selfcheckout was asked if customers have a positive attitude about the scanning process. Seven managers answered yes, and four answered no. Test against a two-sided alternative the null hypothesis that, for the population of managers, responses
14.23 An organization offers a program designed to increase the level of comprehension achieved by students when reading technical material quickly. Each member of a random sample of 10 students was given 30 minutes to read an article. A test of the level of comprehension achieved was then
14.22 A random sample of 12 financial analysts was asked to predict the percentage increases in the prices of two common stocks over the next year. The results obtained are shown in the table. Use the sign test to test the null hypothesis that for the population of analysts there is no overall
14.21 In January 2019, local organizations in Nigeria held several presidential debates before the general elections in February. Suppose after one debate related to the main presidential candidates—Muhammadu Buhari and Atiku Abubakar—the Nigerians were asked how they might vote in the
14.20 How do customers first hear about a new product?A random sample of 200 users of a new product was surveyed to determine the answer to this question.Other demographic data such as age were also collected.The respondents included 50 people under the age of 21 and 90 people between the ages of
14.19 An increasing number of public school districts are utilizing the iPad as a teaching tool. Suppose Calandlyceum, a high school in Amsterdam, recently distributed 47 iPads to the students and teachers in two humanities classes, with expectations that in time all 1,100 students will be provided
14.18 University administrators have collected the following information concerning student grade point average and the school of the student’s major.Determine if there is any association between GPA and major.School GPA 6 3.0 GPA 3.0 or Higher Arts and Sciences 50 35 Business 45 30 Music 15 25
14.17 The Baby Walking data file contains information on 98 babies about several variables concerning their birth and first steps. One of the variables measured is the “first walk timeline”, coded as 1 = soon (up to 9 months old), 2 = regular (between 10 and 13 months old), and 3 = late (14
14.16 A random sample of 50 children appearing for an IQ test was taken. The sample skewness in their IQ results was 0.73 and the sample kurtosis was 1.15. Test the null hypothesis that the IQ results distribution is normal.
14.15 What test is used to determine whether a data set matches a normal distribution? Give two examples of the form of data may use this test.
14.14 Australia’s traffic department was tracing the speed of different automobiles at one spot on the highway.They found that with a random sample of 125 automobiles, the skewness of the sample was 0.36 and the kurtosis was 2.94. Determine whether the null hypothesis for the population is
14.13 A random sample of 50 students was asked to estimate how much money they spent on textbooks in a year.The sample skewness of these amounts was found to be 0.47 and the sample kurtosis was 4.14. Test at the 10% level the null hypothesis that the population distribution of amounts spent is
14.12 In a specific book of 150 pages various typo errors are observed and recorded. The following table shows the number pages and the number of typo errors across the book with an average of 1.5. Test the null hypothesis that it is distributed Poisson.Number of typo errors per page 01 23 4 or
14.11 The number of times a machine broke down each week was observed over a period of 100 weeks and recorded in the accompanying table. It was found that the average number of breakdowns per week over this period was 2.4. Test at the 10% level the null hypothesis that the population distribution
14.10 In a blood donation camp, out of 168 donors, 57 are of blood type O; 77 are blood type A; 25 are blood type B;and 9 are blood type AB. The expected distribution in the entire population is 43% for type O, 41% for type A, 11% for type B, and 5% for type AB. Is there any significant difference
14.9 The cafeteria at the University of Barcelona, Spain, hired a group of analysts to determine the pizza best liked by students enrolled in the university.Two years ago a similar study was conducted, and it was found that 35% of all students at the university preferred La Pizzateca, 25% chose
14.8 The chef of Brew’d café is calculating the cost of baking a cake. He pays $2 for sugar, $1.30 for flour, $5.80 for butter, $3.20 for milk, and $10 for labor cost. The past records indicate that 11% of his total costs was for sugar, 4% for flour, 21% for butter, 16% for milk, and the
14.7 Several types of puddings are sold in a small general store in London. From a past study of customer selections, the owner knows that 25% of the customers ordered strawberry pudding; 30% orderedchocolate;19% ordered lemon; 12% ordered mango; and the remainder, vanilla. Now the owner, who
14.6 Steven and his friends are playing a board game that involves rolling two dice. He is interested in the number of times a 6 is rolled. Based on each player’s records, he found that 52 rolls did not get a 6; 43 rolls produce one 6; and five rolls get a 6 twice. By using the binomial
14.5 TMaker is a Malaysian t-shirt printing and design company.Each month it receives orders for each size—10%for large, 55% for medium, and 35% for small. The company wants to compare the proportion of sizes ordered to the number of t-shirts printed. The observed number of printed t-shirts were
14.4 Anna Sui is a fashion designer known for her innovative packaging and product designs like those for her fragrance collection. According to the brand, 65% of its customers prefer the design of Sui Love, 20% prefer Peace and Love, and 15% prefer Dolly Girl. From a random sample of 400
14.3 Assume the 2018 enrollment records for Stockholm University showed that 55% of applicants were for the business program, 25% for the science program, 10%for the law program, and the rest for other programs.In the current enrollment record, the university found that out of 1,500 enrollments,
14.2 Campbell’s Soup Company is going to produce a new flavor for their soup product. They conducted a survey to ask users to vote on their favorite soup flavor. It found that 40% voted for creamy seafood, 35% voted for tom yam chicken, and the remaining voted for herbal chicken. Campbell’s
14.1 A business manager wants to improve employee satisfaction in his company. He asked a random sample of 100 employees from four departments if they were satisfied with the working conditions of the company. The results obtained are shown in the following table.Test the null hypothesis that for
14.7 A Nonparametric Test for Randomness Runs Test: Small Sample Size Runs Test: Large Sample Size
14.6 Spearman Rank Correlation
14.5 Nonparametric Tests for Independent Random Samples Mann-Whitney U Test Wilcoxon Rank Sum Test
14.4 Nonparametric Tests for Paired or Matched Samples Sign Test for Paired or Matched Samples Wilcoxon Signed Rank Test for Paired or Matched Samples Normal Approximation to the Sign Test Normal Approximation to the Wilcoxon Signed Rank Test Sign Test for a Single Population Median
14.3 Contingency Tables
14.2 Goodness-of-Fit Tests: Population Parameters Unknown A Test for the Poisson Distribution A Test for the Normal Distribution
14.1 Goodness-of-Fit Tests: Specified Probabilities
13.68 Health care cost is an increasingly important part of the U.S. economy. In this exercise you are to identify variables that are predictors for drug cost, either individually or in combination. Use the data file Health Care Cost Analysis, which contains annual health care costs for the period
13.67 Health care cost is an increasingly important part of the U.S. economy. In this exercise you are to identify variables that are predictors for hospital cost, either individually or in combination. Use the data file Health Care Cost Analysis, which contains annual health care costs for the
13.66 Health care cost is an increasingly important part of the United States economy. In this exercise you are to identify variables that are predictors for the cost of physician and clinical services, either individually or in combination. Use the data file Health Care Cost Analysis, which
13.65 You have been asked to develop a model using multiple regression that predicts the retail sale of beef and veal combined using time series data. The data file Beef Veal Consumption contains a number of variables related to the beef and veal retail markets beginning in 1935 and extending
13.64 You have been asked to develop a model using multiple regression that predicts the retail sale of veal using time series data. The data file Beef Veal Consumption contains a number of variables related to the veal retail markets beginning in 1935 and extending through the present.a. Prepare a
13.63 You have been asked to develop a model using multiple regression that predicts the retail sale of beef using time-series data. The data file Beef Veal Consumption contains a number of variables related to the beef retail markets beginning in 1935 and extending through the present. The
13.62 Another way to look at the functioning of the labor market is by tracking unemployment. To investigate the inequalities in the Australian labor market, we distinguish among unemployment in 25+-year-old adults, women youth, and men youth.See the data file OECD Lab Force Australia for the
13.61 The OECD keeps track of the labor market developments of its member states. Its topics of interest include not only the total volume of the labor force but also its composition by age and gender.There are marked differences among the member states in this respect, although the Australian
13.60 The administrator of a small city has asked you to identify variables that influence the mean market value of houses in small midwestern cities. You have obtained data from a number of small cities, which are stored in the data file Citydatr, with variables described in the Chapter 12
13.59 Jack Wong, a Tokyo investor, is considering plans to develop a primary steel plant in Japan.After reviewing the initial design proposal, he is concerned about the proposed mix of capital and labor.He has asked you to prepare several production functions using some historical data from the
13.58 Another way to analyze the functioning of the labor market is by tracking unemployment. To investigate the inequalities in the Italian labor market, we distinguish among the unemployment statistics of 25+-year-old adults, women youth, and men youth. See the data file OECD Lab Force Italy for
13.57 The OECD keeps track of the labor market developments of its member states. Its topics of interest include not only the total volume of the labor force but also its composition by age and gender. There are marked differences between the member states in this respect.Take Italy, for example:
13.56 The data file Britain Sick Leave shows data from Great Britain on the days of sick leave per person (Y), unemployment rate 1X12, ratio of benefits to earnings 1X22, and the real wage rate 1X32. Estimate the model log yt = b0 + b1 log x1t + b2 log x2t + b3log x3t + et and write a report on
13.55 Data providers want to investigate the time spent online(in hours) per day by an individual based on their age, gender, purpose (work, entertainment, information searching), and their relationship with other family members (poor, average, good). The model estimated model is:yn = 2.43 +
13.54 The data file Japan Imports shows 35 quarterly observations from Japan on quantity of imports(y), ratio of import prices to domestic prices 1x12, and real gross national product 1x22. Estimate by least squares the following regression:log yt = b0 + b1 log x1t + b2 log x2t + g log yt-1 + et
13.53 The data file German Income shows 22 annual observations from the Federal Republic of Germany on percentage change in wages and salaries (y), productivity growth 1x12, and the rate of inflation 1x22, as measured by the gross national product price deflator. Estimate by least squares the
13.52 The data file Indonesia Revenue show 15 annual observations from Indonesia on total government tax revenues other than from oil (y), national income 1x12, and the value added by oil as a percentage of gross domestic product 1x22. Estimate by least squares the following regression:log yt = b0
13.51 A doctor conducted a survey to define “healthy food items” based on the amount of sugar and fats contained in each item. From a sample of 25 items, the doctor collected the following output:Parameter Coefficient Standard Deviation Constant 59.687 1.352 Carbohydrates - 2.124 1.053 Fats -
13.50 The following regression model shows the buying interest for a product, which based on the price of the product, the quality, and the lagged buying interest rate for feedback from 45 consumers.yn = 0.6948 - 0.13748x1t 10.07232+ 0.2061x2t 10.08702+ 0.2930yt-1 10.19352 R2 = 0.8673, d = 1.8451
13.49 A financial analyst wants to estimate the monthly expenditure on food (£ 000) by a household based on the size of the household, monthly household income, number of monthly purchases, and number of meals cooked at home per month. He determined the following regression model from a sample of
13.48 A research was conducted to determine the yearly death rate caused by road accidents in a country by two types of vehicles and the gross domestic product($ million). The following regression model was fitted to 80 observations:yn = 0.2831 + 0.7941x1t 10.13272+ 0.4867x2t 10.15362+ 1.8153x3t
13.47 The following regression model was fitted to 28 observations:yn = 5 - 0.5x1t 10.11452- 0.04x2t 10.01202+ 2.725x3t 10.76612 R2 = 0.7329 where yn = operation efficiency (scale 0–10)x1 = wait times of callers (in minutes)x2 = number of complaints x3 = number of operators The numbers below the
13.46 The following model was fitted to a call center’s operation efficiency (rating 1 to 10) on the advertising wait times of callers (in minutes), number of complaints, number of operators, and the previous operation efficiency (rating 1 to 10) for the 25 observations:yn = 3 + 2x1t + 5.4603x2t
13.45 An autoregressive distributed lag model for a transaction duration of a stock observed by 30 observations is estimated as yn t = 2 + 2x1t 10.8432+ 1.5x2t 10.3942+ 0.2x3t 10.0962 0.08yt-1 10.0252 R2 = 0.708 and F = 196.862 where yn = transaction duration (in second)x1 = sell price (€)x2 =
13.44 The following regression model was fitted for an individual with a constant term and three explanatory variables, including the lagged yearly return yt-1 and two other variables, yearly interest rate, x1t, and yearly investments, x2t, for over 10 years.yn t = 473.8 + 0.95x1t 10.2692+ 1.26x2t
13.43 A heteroscedasticity test determines the test statistic value, x2 = 101.835, for 15 observations.a. State the consequences of heteroscedasticity.b. Define the null hypothesis and alternative for the test. What can you conclude for it at the 1%significance level?
13.42 The estimation of weekly production cost in a factory is based on the quantity of weekly production and the ratio of the number of deluxe units over the total units produced. It provides R2 is 0.941 and the p-value for the quantity of weekly production and deluxe ratio is 0.0072 and 0.0243,
13.41 Park Jeong-Hoon owns a bread store in Itaewon, South Korea. He believes that the number of hot dog buns ordered by customers that visit his store has an interaction effect on the combination of the three different types of condiment (mayonnaise, ketchup, and mustard) with the topping of
13.40 Kitty is the owner of Lutz Bakery in Stockholm, Sweden.She wants to know the volume of sales of her three new cake flavors (chocolate caramel, vanilla buttercream, and blueberry glaze). She is considering the weekend sales from three different outlets that are located on Långa Gatan,
13.39 Refer to Exercise 13.37 where a lagged variable, yield, is added to the model and suppose the estimated standard deviation of the estimated coefficient for the lagged dependent variable is 0.0639.Use Durbin’s h statistic to construct a hypothesis test with the alternative hypothesis is r 7
13.38 The data file Inflation Euro Area shows quarterly observations on expected inflation one year ahead (Y) and realized inflation (X) in the Euro Area.a. Plot the time series, and estimate the model yt = b0 + b1xt + et. Report your findings.b. Check for autocorrelated errors in this model.c. If
13.37 A farmer’s yearly yield is based on the amount of rainfall received in a year and average temperature during the year. A series of observations over the past 15 years was obtained, and the model yielded the following results:Yieldt = 0.767 + 0.3543 * rainfallt + 0.7294 * tempt R2 = 0.873, d
13.36 The data file Thailand Consumption shows 29 annual observations on private consumption(Y) and disposable income (X) in Thailand. Fit the regression model log yt = b0 + b1log x1t + glog yt-1 + et and write a report on your findings.Test the null hypothesis of no autocorrelated errors against
13.35 The data file Money UK contains observations from the United Kingdom on the quantity of money in millions of pounds (Y); income, in millions of pounds 1X12; and the local authority interest rate 1X22. Estimate the model (Mills 1978)yt = b0 + b1x1t + b2x2t + gyt-1 + et and write a report on
13.34 To study the pass rates of students based on the number classes missed by students and the number of cocurricular activities students enroll for, a random sample was selected from the past 40 long and short semesters. The study resulted in a Durbin-Watson statistic of 2.84.a. Conduct a
13.33 Based on the results in Exercise 13.32, answer the following questions in which a lagged dependent variable is added to the above model.a. Write the model in which a lagged dependent variable is added.b. Compute the estimated value for serial correlation.c. Calculate the Durbin’s h
13.32 In determining whether a regression model’s error terms are positively correlated for the model yt = b0 + b1x1t + et .We determine a 30 t=1 et 2 = 7587.9154 and a30 t=1 1et-et-122 = 8195.2065 from its least-square residuals.a. State the null and alternative hypothesis for the mentioned
13.31 Refer to Exercise 13.14 and data file Money UK.Let ei denote the residuals from the fitted regression and yn i be the in-sample predicted values. The least squares regression of e2i on yn i has coefficient of determination of 0.087. What can you conclude from this finding?Let ei denote the
13.30 Consider the following regression model:yi = b0 + b1x1i + b2x2i + b3x3i + b4x4i + ei which provides the determination value of 0.0476 from 30 observations. Discuss whether you should reject the heteroscedasticity null hypothesis at 10%significance level.
13.29 The data file Electric Cars contains observations on the starting price, driving range, battery capacity, and number of seats for electric cars available in the European car market. PanCars, an importer, wishes to understand the relationship among the starting price (the price of the most
13.28 You are asked to develop a model to predict the change in the share of consumed energy stemming from renewable resources based on the data provided in the data file Renewable Energy, which contains the data for 26 European countries. The possible predictor variables are the change in the
13.27 In a regression analysis of 50 observations between the annual family income and their annual family expenses on vacations, the coefficient of determination value is 0.839. Determine whether the regression model error term has uniform variance over the predicted values at 5% significance
13.26 In Chapter 11, the regression of retail sales per household on disposable income per household was estimated by least squares. The data are given in Table 11.1, and Table 11.2 shows the residuals and the predicted values of the dependent variable. Use the data file Retail Sales.a. Graphically
13.25 Based on data from 63 counties, the following model was estimated by least squares:yn = 0.58 - 0.052x1 10.0192- 0.005x2 10.0422 R2 = 0.17 where yn = growth rate in real gross domestic product x1 = real income per capita x2 = average tax rate, as a proportion of gross national product The
13.24 An economist estimates the following regression model:y = b0 + b1x1 + b2x2 + e The estimates of the parameters b1 and b2 are not very large compared with their respective standard errors.But the size of the coefficient of determination indicates quite a strong relationship between the
13.23 An economist estimates the following regression model:y = b0 + b1x1 + b2x2 + e She suspects the presence of multicollinearity. State the reasons for the presence of multicollinearity in the population.
13.22 Use the data in the file Citydatr to estimate a regression equation that can be used to determine the marginal effect of the percent commercial property on the market value per owner-occupied residence(Hseval). Include the percent of owner-occupied residences(Homper), percent of industrial
13.21 Transportation Research, Inc., has asked you to prepare some multiple regression equations to estimate the effect of variables on fuel economy. The data for this study are contained in the data file Motors, and the dependent variable is miles per gallon—milpgal—as established by the
13.20 Suppose that a population model of a simple linear regression is given by the following:y = b0 + b1x + u In getting an unbiased estimate of b1 for the above model, we are assuming E1u ƒ x2 = 0. When this assumption does not hold, we cannot expect the estimate, b n1, to be close to the true
13.18 The data file Thailand Consumption shows 29 annual observations on private consumption(Y) and disposable income (X) in Thailand. Fit the regression model log yt = b0 + b1log x1t + glog yt-1 + et and write a report on your findings.
13.17 The data file Births Australia shows annual observations on the first confinement resulting in a live birth of the current marriage (Y) and the number of first marriages (for females) in the previous year(X) in Australia. Estimate the model (McDonald 1981)yt = b0 + b1xt + gyt-1 + et and write
13.16 The data file Inflation Euro Area shows quarterly observations on expected inflation one year ahead (Y) and realized inflation (X) in the Euro area. Estimate the model yt = b0 + b1xt + b2yt-1 + et, and write a report on your findings.
13.15 The data file Pension Funds contains data on the market return (X) of stocks and the percentage (Y)of portfolios in common stocks at market value at the end of the year for private pension funds. Estimate the model yt = b0 + b1xt + gyt-1 + et and write a report on your findings.
13.14 The data file Money UK contains observations from the United Kingdom on the quantity of money in millions of pounds 1Y2; income, in millions of pounds 1X12; and the local authority interest rate 1X22. Estimate the model (Mills 1978)yt = b0 + b1x1t + b2x2t + gyt-1 + et and write a report on
13.13 Use the data from the Retail Sales file to estimate the regression model yt = b0 + b1xt + g yt-1 + et and test the null hypothesis that g = 0, where yt = retail sales per household xt = disposable income per household
13.12 A market researcher is interested in the average amount of money spent per year by college students on clothing.From 25 years of annual data, the following estimated regression was obtained through least squares:yn t = 50.72 + 0.142x1t 10.0472+ 0.027x2t 10.00212+ 0.432yt-1 10.1362 where y =
13.11 Consider the following models estimated using regression analysis applied to time-series data. What is the long-term effect of a 1-unit increase in x in period t?a. yt = 15 + 4xt + 0.28yt-1b. yt = 15 + 4.8xt + 0.14yt-1c. yt = 15 + 4xt + 0.72yt-1d. yt = 15 + 6.4xt + 0.28yt-1
13.10 You have been asked to serve as a consultant and expert witness for a wage-discrimination lawsuit. A group of Latino and black women have filed the suit against their company, Amalgamated Distributors, Inc. The women, who have between 5 and 25 years of service with the company, allege that
13.9 Custom Woodworking, Inc., has been in business for 40 years. The company produces high-quality custommade wooden furniture and very high quality interior cabinet and interior woodwork for expensive homes and offices. It has been very successful in large part because of the highly skilled
13.8 Maxine Makitright, president of Good Parts, Ltd., has asked you to develop a model that predicts the number of defective parts per 8-hour work shift in her factory.She believes that there are differences among the three daily shifts and among the four raw-material suppliers.In addition, higher
13.7 You have been asked to develop a multiple regression model to predict per capita sales of cold cereal in cities with populations over 100,000. As a first step you hold a meeting with the key marketing managers that have experience with cereal sales. From this meeting you discover that per
13.6 John Ramapujan is the plant manager for Kitchen Products, Inc. He has asked you to help identify worker factors that influence productivity.In particular, he is interested in gender differences, the effect of working on different shifts, and employee attitudes toward the present benefits plan
13.5 Sharon Parsons, president of Gourmet Box Mini Pizza, has asked for your assistance in developing a model that predicts the demand for the new snack lunch pizza named Pizza1. This product competes in a market with three other brands that are named B2, B3, and B4 for identification. At present
13.4 The Baltic Shipping Company, Denmark, is estimating the delivery time 1Y, in minutes2 for an order made to their company. The order needs to be shipped to Brofjorden 1X12, Norrköping 1X22, Stockholm 1X32. The company takes into account the total number of parcels included in the order and the
13.3 The head of the statistics department at the University of Iceland needs to know the students’ scores in a statistic module before and after 2015 on the basis of their gender (male and female) as the lecturers of the module have changed. Write the model specification and define the variables
13.2 By assigning dummy variables with the numbers ‘0’and ‘1’ indicates the association is mutually exclusive and exhaustive in any category. What other conditions must be considered for dummy variables in a dummy variable model analysis?
13.1 What is dummy variable? When and how it is use in a regression analysis?

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Essential Mathematics And Statistics For Science 2nd Edition Graham Currell, Dr. Antony Dowman - Solutions

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