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Energy Statistics A Guide To Information Sources 1st Edition Sarojini Balachandran - Solutions
The price of a pair of boots in 2006 was $125, and $150 in 2014. During the same period, the CPI for clothing and footwear increased by 3.1%. Did the price of the boots increase more than, the same, or less than the CPI?
In 2002, Marilyn started working for $600 per week. How much would she have to earn in 2013 to have the same purchasing power if the CPI is 122.8 in 2013. Use 2002 as the base year.
The Johnson Wholesale Company manufactures a variety of products. The prices and quantities produced for April 2004 and April 2014 are as follows: Product 2004 Price ($) 2004 Quantity Produced 2014 Price ($) 2014 Quantity Produced Small motor (each) $23.60 1760 $28.80 4259 Scrubbing compound
The prices and production of grains for August 2004 and August 2014 are as follows: Grain 2004 Price ($) 2004 Quantity Produced (millions of bushels) 2013 Price ($) 2014 Quantity Produced (millions of bushels) Oats $1.52 200 $1.87 214 Wheat 2.10 565 2.05 489 Corn 1.48 291 1.48 203 Barley 3.05 87
The quantities and prices of office supplies for the years 2004 and 2014 for Sam’s Student Centre are given below: 2004 2014 Item Price ($) Quantity Price ($) Quantity Pens (dozen) $0.90 50 $1.10 55 Pencils (dozen) 0.65 50 0.80 60 Erasers (each) 0.45 250 0.55 275 Paper, lined (package [pkg]) 0.89
The prices and the numbers of various items produced by a small machine and stamping plant are reported below. Use 2003 as the base. 2003 2013 Item Price ($) Quantity Price ($) Quantity Washer $0.07 17 000 $0.10 20 000 Cotter pin 0.04 125 000 0.10 130 000 Stove bolt 0.15 40 000 0.18 42 000 Hex nut
Fruit prices and the amounts consumed for 2004 and 2014 are given below. Use 2004 as the base. 2004 2014 Item Price ($) Quantity Price ($) Quantity Bananas (pounds [lb]) $0.23 100 $0.49 120 Grapefruit (each) 0.29 50 0.27 55 Apples 0.35 85 0.35 85 Strawberries (basket) 1.02 8 1.99 10 Oranges (bag)
The prices of toothpaste (100 mL), shampoo (500 mL), cough tablets (package of 100), and antiperspirant (45 g) for August 2004 and August 2014 are given below. The quantities purchased are also included. Use August 2004 as the base. August 2004 August 2014 Item Price ($) Quantity Price ($) Quantity
In January 2001, the price for a whole fresh chicken was $1.99 per kilogram. In September 2014, the price for the same chicken was $5.49. Use the January 2014 price as the base period and 100 as the base value to develop a simple index. By what percentage has the cost of chicken increased during
Listed below is the change in the average price of homes listed with the CREA (Canadian Real Estate Association: crea.ca) from January 2014 to January 2008. Jan-14 Jan-13 Jan-12 Jan-11 Jan-10 Jan-09 Jan-08 $388 553 $354 951 $348 178 $344 118 $328 728 $274 711 $309 448a. Develop a simple index with
The following table shows the average cost of a 1-bedroom apartment for selected cities across Canada. See Connect for the data set. City One-Bedroom Rent ($) Regina 861 Calgary 989 Edmonton 900 Saskatoon 831 Hamilton 747 Winnipeg 717 Quebec City 628 Ottawa 932 Toronto 1027 Kitchener 786 Vancouver
Average house prices in dollars for Manitoba from January 2008 to January 2014 are listed below: Average House List Prices in Manitoba Jan. 2014 $254 481 Jan. 2013 241 652 Jan. 2012 227 807 Jan. 2011 221 933 Jul. 2010 206 454 Jan. 2009 183 873 Jul. 2008 169 668 Develop a simple index for the change
MegaStat commands to create the chi-square test for the Adjustment to Civilian Life example are as follows:a. Enter the information as shown.b. Select MegaStat, Chi-Square/Crosstab, and Contingency Table.c. In the dialog box enter A1:E3 as the Input range, and select chi-square. Click OK. 1 2 3 4 A
The Excel function CHISQ.DIST.RT will return the p-value. It is necessary to know the chi-square value and the degrees of freedom to use this function. Enter the values into the dialogue box as follows: Function Arguments CHISQ DIST.RT x 2.20 Deg freedom 2.2 0.531948371 x Returns the right-tailed
MegaStat commands to create the chi-square goodness-of-fit test for Bubba’s Fish and Pasta example are as follows:a. Enter the information from Table 14–2 into a worksheet as shown.b. Select MegaStat, Chi-Square/Crosstab and Goodness of Fit Test.c. In the dialog box enter B2:B5 as the Observed
A book publisher wants to investigate the type of books selected for recreational reading by adult men and women. A random sample provided the following information. At the 0.05 significance level, should we conclude that gender is related or unrelated to the type of book selected? Gender Mystery
A recent census report indicated 65% of families have two parents, 20% have a mother only present, 10% have a father only present, and 5% have no parent present. A random sample of 200 children from a rural school district revealed the following: Two Parents Mother Only Father Only No Parent Total
The shape of the chi-square distribution is based on . (shape of the population, degrees of freedom, level of significance, level of measurement)
In a goodness-of-fit test with 200 observations and 4 degrees of freedom, the critical value of chi-square is assuming the 0.05 significance level.
The sum of the observed and expected frequencies . (are the same, must be more than 30, can assume negative values, must be at least 5%.)
A sample of 100 undergraduate business students is classified by major (five groups); hence, there are degrees of freedom.
In a contingency table, we test the null hypothesis that the variables are . (independent, dependent, mutually exclusive, normally distributed)
For a contingency table with four columns and three rows; hence, there are degrees of freedom.
In a contingency table, how many variables are summarized? (two, four, fifty)
Which of the following is not a characteristic of the chi-square distribution? (positively skewed, based on degrees of freedom, cannot be negative, at least 30 observations)
To use the chi-square distribution as the test statistic, we assume that the population . (follows the normal distribution, meets the binomial conditions, or no assumption is necessary about the population shape)
The level of measurement is required for the chi-square goodness-of-fit test.
Refer to the Whitner Autoplex file on Connect, which reports information on car sales.a. Develop a contingency table that shows the code and selling price. Is there an association between the variables code and selling price? Use under $25 000, $25 000 to under $35 000, and over $35 000 as the
Refer to the real estate data for the Halifax area, on Connect, which include information on home listings.a. Develop a contingency table that shows the type of listing (apartment, townhouse, or house). Is there an association between the variable type and list price? Use under $400 000, $400 000
Refer to the real estate data for the Saskatoon area, on Connect, which include information on home listings.a. Develop a contingency table that shows the type of listing (apartment + townhouse, or house). Is there an association between the variable type and list price? Use under $300 000, $300
Professor Brown has been teaching Statistics 201 for 20 years. In the past, student grades for the 40 students in his classes have been distributed with the breakdown shown in the following table in the column labelled “Statistics 201.”. His fall class last semester achieved the grades as shown
From a recent survey of 1500 households in Canada, the Cable and Telecommunications Association reported that the numbers of HDTVs per household are as follows: Number of HDTVs Number of Households 0 120 1–2 840 3–4 420 5 or more 120 Total 1500 The manager at the Best Buy store in Rosemere
Are students more likely to be absent from classes on Fridays? A count was taken in Mr. Smythe’s statistics class over the past four weeks. The results are as follows: Day of the Week Number Absent Monday 11 Tuesday 6 Wednesday 8 Thursday 7 Friday 12 Test at the 0.05 level of significance. Can we
A dairy producer is developing ice cream flavours. At a recent country fair, 300 adults were asked to taste test four of the latest flavours: carrot cake, coffee walnut, apple-taffy and coconut cream. The results are 30 preferred carrot cake, 115 coffee walnut, 50 apple-taffy and 105 coconut cream.
A sample of executives was surveyed about loyalty to their company. One of the questions was, “If you were given an offer by another company equal to or slightly better than your present position, would you remain with the company or take the other position”? The responses of the 200 executives
The Coffee Producers Association reports the following information on age and the amount of coffee consumed in a month. Each of the 300 respondents is classified according to two criteria: (1) his or her age and (2) the amount of coffee consumed. The results are as follows: Coffee Consumption Age
A survey of movie ticket purchases made last Sunday afternoon showed the following: Type of Movie Gender Action Documentary Romantic Comedy Male 75 50 60 60 Female 50 50 95 60 Total 125 100 155 120 Is there a relationship between the type of movie ticket purchased and gender? Use the 0.01
Did you ever purchase a bag of M&M’s candies and wonder about the distribution of colours? For peanut M&M’s, 12% are brown, 15% yellow, 12% red, 23% blue, 23% orange, and 15% green. A bag purchased at the college book store had 12 blue, 14 brown, 13 yellow, 14 red, 7 orange, and 12 green. Is it
A survey by the Chronicle investigated the public’s attitude toward the federal deficit. Each sampled citizen was classified as to whether he or she felt the government should reduce the deficit, increase the deficit, or if he or she had no opinion. The sample results of the study by gender are
John Isaac Inc., a designer and installer of industrial signs, employs 60 people. The company recorded the type of the most recent visit to a doctor by each employee. A national assessment conducted in 2010 found that 53% of all physician visits were to primary care physicians, 19% to medical
Each of the digits in a raffle is thought to have the same chance of occurrence. The table shows the frequency of each digit for consecutive drawings in an Alberta lottery. Perform the chi-square test to see if you reject the hypothesis at the 0.05 significance level that the digits are from a
Is it proper to respond with an email after a job interview thanking the prospective employer for the interview? This question was asked of a sample of 200 human resource professionals and 250 technical personnel who were a part of the interview process. The results are reported below. At the 0.01
A recent survey suggested that 55% of all adults favoured legislation requiring restaurants to include information on their menus regarding calories, fat, and carbohydrates of the menu items. The same survey indicated that 28% of all adult respondents were opposed to such legislation. The remainder
A sample of employees at a large chemical plant was asked to indicate a preference for one of three pension plans. The results are given in the following table. Does it seem that there is a relationship between the pension plan selected and the job classification of the employees? Use the 0.01
The claims department at the Wise Insurance Company believes that younger drivers have more accidents and, therefore, should be charged higher insurance rates. Investigating a sample of 1200 Wise policyholders revealed the following breakdown on whether a claim had been filed in the last three
A study regarding the relationship between age and the amount of pressure sales personnel feel in relation to their jobs revealed the following sample information. At the 0.01 significance level, is there a relationship between job pressure and age? Degree of Job Pressure Age (years) Low Medium
Two hundred managers from various levels were randomly selected and interviewed regarding their concern about environmental issues. The response of each person was tallied into one of three categories: no concern, some concern, and great concern. The results were: Level of Management No Concern
A recent study by a large retailer designed to determine whether there was a relationship between the importance a store manager placed on advertising and the size of the store revealed the following sample information: Important Not Important Small 40 52 Medium 106 47 Large 67 32 What is your
In the early 2000s, the Deep Down Mining Company implemented new safety guidelines. Prior to these new guidelines, management expected there to be 0 accident in 40% of the months, 1 accident in% of the months, 2 accidents in 20% of the months, and 3 accidents in 10% of the months. Over the last 10
Banner Mattress and Furniture Company wishes to study the number of credit applications received per day for the last 300 days. The information follows: Number of Credit Applications Frequency (Number of Days) 050 177 281 348 431 5 or more 13 To interpret, there were 50 days on which no credit
To update her marketing strategies, the owner of a private ski club in Collingwood, Ontario, wants to compare the current geographical distribution of her club members to those of 10 years ago. According to her past records, 21% are from New York State, 24% from Ontario (excluding the GTA), 35%
There are four entrances to a large office building in downtown Halifax. The building maintenance supervisor would like to know if the entrances are equally utilized. To investigate, 400 people were observed entering the building. The number using each entrance is reported below. At the 0.01
In a particular market there are three commercial television stations, each with its own evening news program from 6:00 to 6:30 p.m. According to a report in this morning’s local newspaper, a random sample of 150 viewers last night revealed 53 watched the news on CTV Television, 64 watched on
The publisher of a sports magazine plans to offer new subscribers one of three gifts: a sweatshirt with the logo of their favourite team, a coffee cup with the logo of their favourite team, or a pair of earrings also with the logo of their favourite team. In a sample of 500 new subscribers, the
Vehicles heading west on Front Street may turn right, left, or go straight ahead at Elm Street. The city traffic engineer believes that half of the vehicles will continue straight through the intersection. Of the remaining half, equal proportions will turn right and left. Two hundred vehicles were
The use of cellular phones in automobiles has increased dramatically in the last few years. Of concern to traffic experts, as well as manufacturers of cellular phones, is the effect on accident rates. Is someone who is using a cellular phone more likely to be involved in a traffic accident? What is
The quality control department at Food Town Inc. conducts a monthly check on the comparison of scanned prices to posted prices. The chart below summarizes the results of a sample of 500 items last month. Company management would like to know whether there is any relationship between error rates on
Four brands of light bulbs are being considered for use in a large manufacturing plant. The director of purchasing asked for samples of 100 from each manufacturer. The numbers of acceptable and unacceptable bulbs from each manufacturer are shown below. At the 0.05 significance level, is there a
The director of advertising for a large newspaper is studying the relationship between the type of community in which a subscriber resides and the portion of the newspaper he or she reads first. For a sample of readers, she collected the following sample information: National News Sports Comics
For many years, TV executives used the guideline that 30% of the audience was watching each of the prime-time networks and 10% cable stations on a weekday night. A random sample of 500 viewers last Monday night showed that 165 homes were tuned in to the ABC affiliate, 140 to the CBS affiliate, 125
A bank credit card department knows from experience that 5% of the card holders have had some high school, 15% have completed high school, 25% have had some college or university, and 55% have completed college or university. Of the 500 card holders whose cards have been called in for failure to
The chief of security for a shopping mall in Calgary, Alberta, was directed to study the problem of missing goods. He selected a sample of 100 boxes that had been tampered with and ascertained that for 60 of the boxes, the missing pants, shoes, and so on were attributed to shoplifting. For 30 other
The following hypotheses are given: H0 : Forty percent of the observations are in category A, 40% are in B, and 20% are in C. H1 : The distribution of the observations are not as described in H0. We took a sample of 60, with the following results: Category fo A 30 B 20 C 10a. State the decision
The safety director of Honda took samples at random from the file of minor work-related accidents and classified them according to the time the accident took place. Time Number of Accidents Time Number of Accidents 8 a.m. up to 9 a.m. 6 1 p.m. up to 2 p.m. 7 9 a.m. up to 10 a.m. 6 2 p.m. up to 3
A group of department store buyers viewed a new line of dresses and gave their opinions of them. The results were: Opinion Number of Buyers Opinion Number of Buyers Outstanding 47 Good 39 Excellent 45 Fair 35 Very good 40 Undesirable 34 Because the largest number (47) indicated the new line is
Classic Gold Inc. manages five golf courses. The director of golf for Classic Golf Inc. wishes to study the number of rounds of golf played per weekday at the five courses. He gathered the following sample information for 520 rounds: Day Rounds Monday 124 Tuesday 74 Wednesday 104 Thursday 98 Friday
A six-sided die is rolled 30 times, and the numbers 1 through 6 appear as shown in the following frequency distribution. At the 0.10 significance level, can we conclude that the die is fair? Outcome Frequency Outcome Frequency 13 43 26 59 32 67
The null hypothesis and the alternative hypothesis are as follows: H0: The frequencies are equal. H1: The frequencies are not equal. Category fo A 10 B 20 C 30a. State the decision rule, using the 0.05 significance level.b. Compute the value of chi-square.c. What is your decision regarding H0?
The null hypothesis and the alternative hypothesis are as follows: H0: The frequencies are equal. H1: The frequencies are not equal. Category fo A 10 B 20 C 30 D 20a. State the decision rule, using the 0.05 significance level.b. Compute the value of chi-square.c. What is your decision regarding H0?
In a particular chi-square goodness-of-fit test, there are six categories and 500 observations. Use the 0.01 significance level.a. How many degrees of freedom are there?b. What is the critical value of chi-square?
In a particular chi-square goodness-of-fit test, there are four categories and 200 observations. Use the 0.05 significance level.a. How many degrees of freedom are there?b. What is the critical value of chi-square?
26. Many urban regions have experienced rapid population growth over the last 10 years. It is expected that growth will continue over the next 10 years. This has resulted in many of the large grocery store chains building new stores. The Kelley’s Super Grocery Stores Inc. chain is no exception.
25. A regional planner is studying the demographics in a region of a particular province. She has gathered the following data on nine counties:Median Median Population County Income ($) Age >400 000 A $48 157 57.7 1 B 48 568 60.7 1 C 46 816 47.9 1 D 34 876 38.4 0 E 35 478 42.8 0 F 34 465 35.4 0 G
24. A mortgage department of a large bank is studying its recent loans. Of particular interest is how such factors as the value of the home (in thousands of dollars), education level of the head of the household, age of the head of the household, current monthly mortgage payment (in dollars), and
23. Steve Douglas has been hired as a management trainee by a large brokerage firm. As his first project, he is asked to study the gross profit of firms in the chemical industry. What factors affect profitability in that industry? Steve selects a random sample of 16 firms and obtains data on the
22. Fran’s Convenience Marts are located throughout a metropolitan area. Fran, the owner, would like to expand into other communities. As part of her presentation to the local bank, she would like to better understand the factors that make a particular outlet profitable. She must do all the work
21. The district sales manager for a major automobile manufacturer is studying car sales. Specifically, he would like to determine what factors affect the number of cars sold at a dealership. To investigate, he randomly selects 12 dealers. From these dealers, he obtains the number of cars sold last
20. Mike Wilde is president of the teachers’ union for Otsego School District. In preparing for upcoming negotiations, he would like to investigate the salary structure of classroom teachers in the district. He believes there are three factors that affect a teacher’s salary: years of
19. Suppose that the sales manager of a large automotive parts distributor wants to estimate as early as April the total annual sales of a region. On the basis of regional sales, the total sales for the company can also be estimated. If, on the basis of past experience, it is found that the April
18. The administrator of a new paralegal program at a college wants to estimate a student’s GPA in the new program. He thought that high school marks, and the verbal and mathematical scores on the entrance examinations would be good predictors of student GPAs. A study of nine students was done.
17. The district manager of Jason’s, a large discount retail chain, is investigating why certain stores in her region are performing better than others. She believes that three factors are related to total sales: the number of competitors in the region, the population in the surrounding area, and
16. In a multiple regression equation k = 5 and n = 20, the MSE value is 5.10, and SST is 519.68. At the 0.05 significance level, can we conclude that any of the regression coefficients are not equal to 0?
15. The following output was obtained: Analysis of variance Source df SS MS Regression 5 100 20 Error 20 40 2 Total 25 140 Predictor Coef StDev t-ratio Constant 3.00 1.50 2.00 X1 4.00 3.00 1.33 X2 3.00 0.20 15.00 X3 0.20 0.05 4.00 X4 -2.50 1.00 -2.50 X5 3.00 4.00 0.75a. What is the sample size?b.
14. In a multiple regression equation two independent variables are considered, and the sample size is 25. The regression coefficients and the standard errors are as follows: b1 = 2.676 sb1 = 0.56 b2 = −0.880 sb2 = 0.71 Conduct a test of hypothesis to determine whether either independent variable
13. A multiple regression equation yields the following partial results: Source Sum of Squares df Regression 750 4 Error 500 35a. What is the total sample size?b. How many independent variables are being considered?c. Compute the coefficient of determination.d. Compute the standard error of
12. The selling price of a residence can be estimated by using many factors, three of which are the square footage, number of bedrooms and bathrooms, and the location. A study was conducted on 50 homes and the following correlation matrix was developed from the sample data: Price Sq. Ft. Bath Bed
11. The speed of a car can be estimated using many factors, three of which are horsepower, the weight of the car, and the age of the car. A study was done on 35 cars and the following correlation matrix was developed from the sample data: Speed H-Power Weight Age Speed 1 H-Power 0.83 1 Weight
10. Refer to the following correlation matrix: Sales Advertising ($) Population Income Sales 1.000 Advertising ($) .192 1.000 Population .510 .124 1.000 Income .806 .062 .438 1.000a. Which independent variable has the strongest correlation with the dependent variable?b. Suppose you could only use
9. Refer to the following correlation matrix: Y X1 X2 X3 X4 Y 1.000 X1 .192 1.000 X2 .510 .124 1.000 X3 .806 .062 .438 1.000 X4 -.819 .650 -.481 -.729 1.00a. Which independent variable has the strongest correlation with the dependent variable?b. Suppose you could only use three of the four
8. Refer to the following information: Predictor Coef SE Coef Constant -150 90 X1 2000 500 X2 -25 30 X3 5 5 X4 -300 100 X5 0.60 0.15 Source df SS MS F Regression 5 1500.0 Error 15 Total 20 2000.0a. What is the regression equation?b. If X1 = 4, X2 = 6, X3 = 8, X4 = 6, and X5 = 8, what is the value
7. Refer to the following regression output: Predictor Coef SE Coef Constant 20.00 10.00 X1 -1.00 0.25 X2 12.00 8.00 X3 -15.00 5.00 Source DF SS MS F Regression 3 7500.00 Error 18 Total 21 10000.0a. What is the regression equation?b. If X1 = 4, X2 = 6, and X3 = 8, what is the value of the dependent
6. Refer to the following ANOVA table: Source DF SS MS F Regression 5 3710.00 742.00 12.89 Residual Error 46 2647.38 7 Total 51 6357.38
5. Refer to the following ANOVA table: Source DF SS MS F Regression 2 77.907 38.954 0.021 Residual Error 62 583.693 9.414 Total 64 661.600a. How large was the sample?b. How many independent variables are there?c. How many dependent variables are there?d. Compute the standard error of estimate.
4. Cellulon, a manufacturer of a new type of home insulation, wants to develop guidelines for builders and consumers on how the thickness of the insulation in the attic of a home and the outside temperature affects gas consumption. In the laboratory, it varied the insulation thickness and
3. A consulting group surveyed General Mills Inc. employees to research the factors that affect their satisfaction with their quality of life. A special index, called the index of satisfaction, was used to measure satisfaction. Six factors were studied, namely, age at the time of first marriage
2. Thompson Photo Works purchased several new, highly sophisticated machines. The production department needed some guidance with respect to qualifications needed by an operator. Is age a factor? Is the length of service as a machine operator important? To further explore the factors needed to
1. The director of marketing at Reeves Wholesale Products is studying the monthly sales. Three independent variables were selected as estimators of sales: regional population (X1), per-capita income (X2), and regional unemployment rate (X3). The regression equation was computed (in dollars) as
1. Quick-print firms in urban centres spend most of their advertising dollars on displays on transit benches. A research project involves predicting monthly sales on the basis of the annual amount spent on placing ads on these benches. A sample of quick-print firms revealed the following
10. A prediction interval is based on an individual value of the variable. (dependent, independent, correlated, estimated)
9. In regression analysis, confidence and prediction intervals show the associated with an estimated value of the dependent variable. (error, association, convergence, sample size)
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