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statistics alive

Questions and Answers of Statistics Alive

5. Summarize the results of parts 1–4 as a written report of your findings.How have the roles of working women changed in America? How many of the jobs in America are held by women? How has
4. Are men and women in agreement about a gender-balanced workplace? Use a =.05.How have the roles of working women changed in America? How many of the jobs in America are held by women? How has
3. Does the proportion of women from each of the Millennial, Gen X, or Boomer generations differ in their ability to separate their work lives from their personal lives? Use a =.05.How have the roles
2. Is there a significant difference between men and women with respect to which facet of their lives produced the most anxiety during the recent economic down-turn? Use a =.05.How have the roles of
1. Is there a significant difference in the proportions of men and women who identify themselves as the primary breadwinner in the family? Use a =.05.How have the roles of working women changed in
15. Fitting a Binomial Distribution You can use a goodness-of-fit test to determine whether all of the criteria for a binomial experiment have actually been met in a given application. Suppose that
13. Crime and Educational Achievement A criminologist studying criminal offenders who have a record of one or more arrests is interested in knowing whether the educational achievement level of the
12. Catching a Cold Is your chance of getting a cold influenced by the number of social contacts you have?One study seems to show that the more social relationships you have, the less susceptible you
11. Favorite Fast Foods Is a customer’s preference for a fast-food chain affected by the age of the customer? If so, advertising might need to target a particular age group. Suppose a random sample
10. Rugby Injuries The prevalence and patterns of knee injuries among women collegiate rugby players were investigated using a sample questionnaire, to which 42 rugby clubs responded.19 A total of 76
9. Vehicle Colors, again Refer to Exercise 8. The researcher wants to see if there is a difference in the color distributions for compact/sports cars versus full/intermediate cars.18 Another random
8. Vehicle Colors No matter the make or model of a new vehicle, white and silver/gray continue to make the top five or six colors across all categories. The top six colors and their percentage of the
7. Is Your Food Safe? How confident are you that the food you purchase is safe to eat? This question was asked in a CBS News Poll.17 The data that follow reflect the results of the responses to this
6. Graduate Teaching Assistants A team of researchers investigated the level of preparation of economics graduate students for their teaching-related duties for students at “top-tier” and those
5. Baby’s Sleeping Position II The researchers in Exercise 4 also measured several other developmental milestones and their relationship to the infant’s predominant sleep position.15 The results
4. Baby’s Sleeping Position Does a baby’s sleeping position affect the development of motor skills? In one study, 343 full-term infants were examined at their 4-month checkup for various
3. Discovery-Based Teaching Two biology instructors set out to evaluate the effects of discovery-based teaching compared to the standard lecture-based teaching approach in the laboratory.The
2. Physicians and Medicare Patients To investigate the effect of general hospital experience on the attitudes of physicians toward Medicare patients, a random sample of 50 physicians who had just
1. Floor Polish To see whether a new floor polish A was superior to those produced by four competitors, B, C, D, and E, a manufacturer asked a sample of 100 housekeepers to view five identical
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 .1. There are
Suppose that you have recorded the gender (M or F) and the college status (Fr, So, Jr, Sr, Grad) for 100 students, as shown in the table below.1. Enter the observed values as a matrix as follows.
Suppose you have recorded the gender (M or F) and the college status (Fr, So, Jr, Sr, Grad)for 100 statistics students, as shown in the table below.1. Enter the observed values into the first five
17. Good Tasting Medicine Pfizer Canada Inc.is a pharmaceutical company that makes azithromycin, an antibiotic in a cherry-flavored suspension used to treat bacterial infections in children. To
16. German Manufacturing To study the effect of worker participation in managerial decision making, 100 workers were interviewed in each of two separate German manufacturing plants. One plant had
15. An Arthritis Drug To determine the effectiveness of a drug for arthritis, a researcher studied two groups of 200 arthritic patients. One group was inoculated with the drug; the other received a
14. Blood Types and Ethnicity Not all ethnic groups have the same mix of blood types and Rh factors. For example, Latino-Americans have a high number of Os while Asians have a high number of Bs.12 A
13. Health Concerns According to Americans, access to healthcare and the cost of healthcare remain the most urgent health problems. However, a recent Gallup poll11 shows that concern about substance
12. How Big Is the Household? A local chamber of commerce surveyed 120 households in their city—40 in each of three types of residence(apartment, duplex, or single residence)—and recorded the
11. Deep-Sea Research Manganese nodules are mineral-rich concoctions found abundantly on the deep-sea floor.10 A research report relates the magnetic age of the earth’s crust to the “probability
10. Marriage Rates Half of adults today are married compared with the all-time high of 72%in 1960.9 Do marriage rates vary by educational level? A sample of 300 adults in each of three educational
9. Diseased Chickens To test a theory that a particular poultry disease is not communicable, 30,000 chickens were randomly partitioned into three groups of 10,000.One group had no contact with
8. The Sandwich Generation The “sandwich generation” refers to middle-aged Americans who are either providing support for an aging parent while raising child under 18 or supporting a child over
Suppose you wish to test the null hypothesis that three binomial parameters pA, pB, and pC are equal versus the alternative hypothesis that at least two of the parameters differ. Independent random
Suppose you wish to test the null hypothesis that three binomial parameters pA, pB, and pC are equal versus the alternative hypothesis that at least two of the parameters differ. Independent random
Suppose you wish to test the null hypothesis that three binomial parameters pA, pB, and pC are equal versus the alternative hypothesis that at least two of the parameters differ. Independent random
Random samples of 200 observations were selected from each of three populations, and each observation was classified according to whether it fell into one of three mutually exclusive categories. Is
Random samples of 200 observations were selected from each of three populations, and each observation was classified according to whether it fell into one of three mutually exclusive categories. Is
Random samples of 200 observations were selected from each of three populations, and each observation was classified according to whether it fell into one of three mutually exclusive categories. Is
Random samples of 200 observations were selected from each of three populations, and each observation was classified according to whether it fell into one of three mutually exclusive categories. Is
A survey was conducted in four midcity political districts to compare the fractions of voters who favor candidate A. Random samples of 200 voters were polled in each of the four districts with the
In another flu prevention experiment like Example 14.5, the experimenter decides to search the clinic records for 300 patients in each of the three treatment categories: no vaccine, one shot, and two
26. Blood Types In addition to knowing a person’s blood type, it is important to also know whether their Rh factor is positive or negative.The blood types of the first 200 individuals to have their
25. Antibiotics and Infection Infections sometimes occur when blood transfusions are given during surgical operations. An experiment was conducted to determine whether the injection of antibodies
24. Parking at the University A survey was conducted to determine student, faculty, and administration attitudes about a new university parking policy. The distribution of those favoring or opposing
23. Telecommuting As an alternative to flextime, many companies allow employees to do some of their work at home. Individuals in a random sample of 300 workers were classified according to salary and
22. The JFK Assassination Almost 50 years after the assassination of John F. Kennedy, a FOX News poll showed that most Americans disagreed with the government’s conclusions about the killing. The
21. Hair Color The hair color table that follows was adapted from the self-reported hair colors of a sample of Caucasian Americans born between 1957 and 1965 (currently 53–61 years old).a. Is there
20. Spending Patterns A study to investigate whether a student’s spending patterns depended on their gender focused on 196 employed high school seniors. Students were asked to classify the amount
19. Anxious Infants In a study to determine the effect of early child care on infant–mother attachment patterns, 93 infants were classified as either “secure” or“anxious” using an
18. Fatal Accidents Accident data were analyzed to determine the numbers of fatal accidents for automobiles of three sizes. The data for 346 accidents are as follows:Do the data indicate that the
17. Physical Fitness in the United States A survey was conducted to determine whether adult participation in physical fitness programs varies from one region of the United States to another. A random
16. Gender Differences Male and female respondents to a questionnaire on gender differences were categorized into three groups according to their answers on the first question:Use the MINITAB
Use the data in the contingency table to answer15. Find the approximate p-value for the test and interpret its value. Column Row 1 2 3 Total - 1 37 34 93 164 2 66 57 113 236 Total 103 91 206 400
Use the data in the contingency table to answer14. Conduct the test and state your conclusions Column Row 1 2 3 Total - 1 37 34 93 164 2 66 57 113 236 Total 103 91 206 400
Use the data in the contingency table to answer13. Find the rejection region for a 5.01. Column Row 1 2 3 Total - 1 37 34 93 164 2 66 57 113 236 Total 103 91 206 400
Use the data in the contingency table to answer12. Find the value of the test statistic. Column Row 1 2 3 Total - 1 37 34 93 164 2 66 57 113 236 Total 103 91 206 400
Use the data in the contingency table to answer11. If you wish to test the null hypothesis of “independence”—that the probability that a response falls in any one row is independent of the
Calculate the expected cell counts and the value of the test statistic X2 for the chi-square test of independence. 10. Column Row 1 2 3 1 35 16 84 2 120 92 206
Calculate the expected cell counts and the value of the test statistic X2 for the chi-square test of independence. 9. Column Row 1 2 3 4 123 120 70 55 16 79 108 95 43 31 49 81 140
Give the rejection region for a chi-square test of independence if the contingency table involves r rows and c columns. 8. r=2, c=2,a=.05
Give the rejection region for a chi-square test of independence if the contingency table involves r rows and c columns. 7. r 3, c 3,a=.10
Give the rejection region for a chi-square test of independence if the contingency table involves r rows and c columns. 6. r=3,c=5,a=.01
Give the rejection region for a chi-square test of independence if the contingency table involves r rows and c columns. 5. r 2, c 4, a = .05
To evaluate the effectiveness of a new flu vaccine, residents of a small community were given the vaccine free of charge in a two-shot sequence over a period of 2 weeks. Some people received the
27. Peanut M&M’S Refer to Exercise 26. The percentage of various colors are different for the “peanut”variety of M&M’S candies, as reported on the Mars, Incorporated website:A
26. M&M’S Several years ago, the Mars, Incorporated website reported the following percentages of the various colors of its M&M’S candies for the “milk chocolate”varietyA 400-gram bag
24. Schizophrenia Research has suggested a link between the prevalence of schizophrenia and birth during particular months of the year in which viral infections are prevalent. Suppose you are working
23. Mortality Statistics Nearly 75% of all deaths in the United States are attributed to just 10 causes, with the top four of these accounting for over 50% of all non-accidental deaths as follows:
22. Heart Attacks on Mondays Researchers from Germany have concluded that the risk of a heart attack for a working person may be as much as 50% greater on Monday than on any other day.1 In an attempt
21. Flower Color and Shape A botanist performs a secondary cross of petunias involving independent factors that control leaf shape and flower color, where the factor A represents red color, a
19. More Business on the Weekends A department store manager claims that her store has twice as many customers on Fridays and Saturdays than on any other day of the week (the store is closed on
18. Three Entrances A study was conducted to aid in the remodeling of an office building that contains three entrances. The choice of entrance was recorded for a sample of 200 persons who entered the
Conduct the appropriate test of specified probabilities using the information given . Write the null and alternative hypotheses, give the rejection region with a 5.05 and calculate the test
Conduct the appropriate test of specified probabilities using the information given . Write the null and alternative hypotheses, give the rejection region with a 5.05 and calculate the test
A response can fall into one of k =4 categories with hypothesized cell probabilities given. If 250 responses are recorded, what are the four expected cell counts for the chi-square test? 15. p.25,
A response can fall into one of k =4 categories with hypothesized cell probabilities given. If 250 responses are recorded, what are the four expected cell counts for the chi-square test? 14. P P2
Use the information given and Table 5 in Appendix I to bound the p-value for a chi-square test 13. X2 9.56, df =2
Use the information given and Table 5 in Appendix I to bound the p-value for a chi-square test 12. X2 14.1, df = 8
Use the information given and Table 5 in Appendix I to bound the p-value for a chi-square test 11. X220.62, df = 6
Use the information given and Table 5 in Appendix I to bound the p-value for a chi-square test 10. X 4.29, df = 5
Give the rejection region for a chi-square test of specified probabilities if the experiment involves k categories. 9. k 5, a .05
Give the rejection region for a chi-square test of specified probabilities if the experiment involves k categories. 8. k=4,a=.10
Give the rejection region for a chi-square test of specified probabilities if the experiment involves k categories. 7. k 10, a .01
Give the rejection region for a chi-square test of specified probabilities if the experiment involves k categories. 6. k 7, a .05
Finding Values of X2 Use the information and Table 5 in Appendix I to find the value of x2 with area a to its right. 3. a=.01, df = 8
Finding Values of X2 Use the information and Table 5 in Appendix I to find the value of x2 with area a to its right. 2. a=.05, df = 3
The proportions of blood types A, B, AB, and O in the population of all Caucasians in the United States are .41, .10, .04, and .45, respectively. To determine whether or not the actual population
A researcher designs an experiment in which a rat is attracted to the end of a ramp that divides, leading to doors of three different colors. The researcher sends the rat down the ramp n590 times and
4. Based on the plot of all the data in part 1, plot the data from 1987 through 1997 and find the best-fitting line for this time period. How good is the fit over this time period? Follow the
3. Use the fitted line to predict the number of imported cars for the years 2013, 2014, and 2015. How do the predictions compare to the actual number of imports for these years?What does this say
2. Plot the data for the years 1969 through 1986. Find the least-squares line for predicting the number of imported cars as a function of year for the years 1969–1986. Comment on the goodness of
1. Plot the data for the years 1969 through 2015. Does there seem to be any overall pattern to the data? Are there any portions of the data that appear to have a linear trend?The phrase “made in
14. Anscombe’s Quartet “Anscombe’s quartet”comprises four data sets (I – IV) that have nearly identical simple descriptive statistics, yet have very different scatterplots. They were
13. Starbucks Here is some nutritional data for a sampling of Starbucks 16-ounce Espresso beverages, made with 2% milk. The nutritional information for all of Starbucks products can be found on the
12. Metabolism and Weight Gain Recent studies suggest that the factors that control metabolism may depend on your genetic makeup. One study involved 11 pairs of identical twins fed about 1000
11. How Long Is It? A subject’s ability to estimate sizes was studied by showing him 10 different objects. The table that follows gives his estimate along with the actual lengths of the specified
10. 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.
9. Fresh Roses A researcher devised a scale to measure the freshness of roses that were packaged and stored for varying periods of time before transplanting. The freshness measurement y and the
8. Oatmeal, Anyone? An agricultural experimenter, investigating the effect of the amount of nitrogen x applied in 100 pounds per acre on the yield of oats y measured in bushels per acre, collected
7. Avocados II Refer to Exercise 6. Suppose the experimenter wants to examine the relationship between the penetrability and the number of days after harvest. Does the method of linear regression

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