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mathematics
business statistics

Questions and Answers of Business Statistics

A lottery outlet owner hypothesizes that she sells 200 lottery tickets a day. She randomly sampled 40 days and found that on 15 days she sold fewer than 200 tickets. At α = 0.05, is there sufficient
Six new hybrid automobiles were rated by a consumer group and an independent testing lab. The scale consisted of 1 to 20 points. Is there a relationship between the ratings at Î± = 0.10?
After reviewing 7 potential textbooks, an instructor ranked them from 1 to 7, with 7 being the highest ranking. The instructor selected one of his previous students and had the student rank the
Two groups of employees were given a questionnaire to assess their degree of satisfaction with their jobs. The questionnaire scores range from 0 to 100. The groups are divided according to years of
Rank each set of data.22, 56, 54, 12, 73, 38, 44, 56, 22, 50, 62, 88
A professor examined a random selection of mathematics research papers to see if there was a relationship between the number of pages in the paper and the number of resources cited in the
A group of compulsive gamblers was selected. The amounts (in dollars) they spent on lottery tickets for one week are shown. Then they were required to complete a workshop showing that the chances of
Students in Greek organizations at schools throughout the country sent volunteers to a yearly blood drive. The numbers from each randomly selected participating school are listed. Test the claim that
Rank each set of data.88.3, 46.0, 83.4, 321.0, 58.6, 16.0, 148.3, 32.7, 62.8
The scoring leaders for the last 28 years of the NBA are shown below, where E is the Eastern Conference and W is the Western Conference. Test for randomness at Î± = 0.05. WE W W Ww E E W
The prices for 30-count packages of randomly selected store-brand vitamin/mineral supplements are listed from three different sources. At the 0.01 level of significance, can a difference in prices be
A bookstore owner records the 48 books purchased by customers. He classifies them as either fiction (F) or nonfiction (N). (Read from left to right across each row, and then proceed to the next row.)
A researcher read that the median age for viewers of the Jimmy Fallon show is 52.7 years. To test the claim, 75 randomly selected viewers were surveyed, and 27 were under the age of 52.7. At α =
Eight randomly selected volunteers at a bowling alley were asked to bowl three games and pick their best score. They were then given a bowling ball made of a new composite material and were allowed
A study was conducted to see if a set of exercises would reduce the number of times a person visits a physical therapist. Eight subjects were selected, and the number of times over a three month
A popular amusement park charges a daily admission price that includes all rides. At the end of summer they sponsor a series of nightly parades featuring high school bands from the tristate area. A
Ten college students were selected and asked how many soft drinks they drink over a two week period. These students were asked to replace some of the soft drinks with water in order to cut down on
A stockbroker observes whether the market goes up (U) or down (D) over a 30-day period. The sequence is shown. At α = 0.05, test for randomness.U U U U D D U U U D U U U U U D D D U D
The confidence interval for the median of a set of values less than or equal to 25 in number can be found by ordering the data from smallest to largest, finding the median, and using Table J. For
The confidence interval for the median of a set of values less than or equal to 25 in number can be found by ordering the data from smallest to largest, finding the median, and using Table J. For
The gender of the patients at a medical center is recorded. Test the claim at Î± = 0.05 that they are admitted at random. м мм м M F F F M M M M M M F M F M м M м м F F F F F M
A marketing student hypothesized that the median price for a 12-inch pepperoni pizza is $9.00. A random selection of 30 restaurants within a 30-mile radius indicated the following prices for a
A police chief records the gender of the drivers who receive speeding tickets. Test the claim at Î± = 0.05 that the gender of the ticketed drivers is random. MMMMM MMMFM MMFMF
The people who went to the emergency room at a local hospital were treated for an accident (A) or illness (I). Test the claim Î± = 0.10 that the reason given occurred at random. A A A A.
An instructor wishes to see if the answers to his true/false final exam are random. The answers are shown. Test the claim at α = 0.05.F F T T T F F F T F T T F F FF T T F F T T F F F T F T T T
Find the critical r value for each (assume that the test is two-tailed).n = 50, α = 0.05
Find the critical r value for each (assume that the test is two-tailed).n = 35, α = 0.02
Find the critical r value for each (assume that the test is two-tailed).n = 40, α = 0.01
What is the parametric equivalent test for the Wilcoxon rank sum test?
What are the minimum sample sizes for the Wilcoxon rank sum test?
A large school district has several middle schools. Three schools were randomly chosen, and four classes were selected from each. The numbers of pupils in each class are shown here. At
The data show the particulate matter in micrograms per cubic meter for a sample of large cities on three continents. At Î± = 0.10, is there a difference in the mean particulate matter
To compare two means after a significant F test, the ScheffÃ© test and the Tukey test were shown. Another commonly used test is called the Bonferroni multiple-comparison test. This test
The number of grams of fiber per serving for a random sample of three different kinds of foods is listed. Is there sufficient evidence at the 0.05 level of significance to conclude that there is a
The data shown are the weekly admissions, in millions, of people attending movie theaters over three different time periods. At Î± = 0.05, is there a difference in the means for the
The sales in millions of dollars for a year of a sample of leading companies are shown. At Î± = 0.01, is there a significant difference in the means? Chocolate Candy Cereal Coffee 578
Hands-on soap bubble experiments are a great way to teach mathematics. In an effort to find the best possible bubble solution, two different soap concentrations were used along with two different
Fractures accounted for 2.4% of all U.S. emergency room visits for a total of 389,000 visits for a recent year. A random sample of weekly ER visits is recorded for three hospitals in a large
When can the main effects for the two-way ANOVA be interpreted independently?
The CO2emissions in metric tons for selected countries are shown for selected years. At Î± = 0.10, is there a difference in the means for the selected years? 1990 1980 2000 2010 291.2
What are the two types of interactions that can occur in the two-way ANOVA?
The following data show the yearly budgets for leading business sectors in the United States. At Î± = 0.05, is there a significant difference in the mean budgets of the business sectors?
When there is no significant difference among three or more means, the value of F will be close to what number?
How are the F test values computed?
Define between-group variance and within-group variance.
How are the values for the mean squares computed?
Explain what is meant by main effects and interaction effect.
Explain the difference between the two tests used to compare two means when the null hypothesis is rejected using the one-way ANOVA F test.
How does the two-way ANOVA differ from the oneway ANOVA?
What two tests can be used to compare two means when the null hypothesis is rejected using the one-way ANOVA F test?
What test is used to compare three or more means?
A study was done on people convicted of using illegal drugs and their ages. The data are shown. At Î± = 0.10, test the claim that the proportions of the type of drug used are the same
A study was done using a sample of 60 college athletes and 60 college students who were not athletes. They were asked their meat preference. The data are shown. At Î± = 0.05, test the
The national Cesarean delivery rate for a recent year was 32.2% (number of live births performed by Cesarean section). A random sample of 100 birth records from three large hospitals showed the
A medical researcher wishes to determine if the type of vitamin pills taken is related to the age of the person. The data are shown. At Î± = 0.10, is the type of vitamin related to the
Are the sales of CDs (in millions) by genre related to the year in which the sales occurred? Use the 0.05 level of significance. R&B Country 36 Rock 93 85 2013 2014 48 36 30
A study was done on the type of automobiles owned by women and men. The data are shown. At Î± = 0.10, is there a relationship between the type of automobile owned and the gender of the
In a recent year U.S. retail automobile sales were categorized as listed below.luxury 16.0% large 4.6% midsize 39.8% small 39.6%A random sample
Four states were randomly selected, and their members in the U.S. House of Representatives (114th Congress) are noted. At Î± = 0.10, can it be concluded that there is a dependent
According to the National Safety Council, 10% of the annual deaths from firearms were victims from birth through 19 years of age. Half of the deaths from firearms were victims aged 20 through 44
Is the length of unemployment related to the type of industry? A random sample of unemployed workers from three different sectors yielded the following data. At the 0.05 level of significance, are
A store manager wishes to see if the number of absences of her employees is the same for each weekday. She selected a random week and finds the following number of absences.At Î± = 0.05,
A record of violent crimes for a random sample of cities from the list of U.S. cities with the fewest crimes is shown below. At Î± = 0.05, is there sufficient evidence to indicate a
A study was done on the living arrangement of individuals aged 18 to 24 years to see if the proportions of people are different today than those of 10 years ago. The data are shown. At
A study of pet owners showed the following information concerning the ownership of the dogs and cats. At Î± = 0.10, is there a relationship between the number of people in a family and
Are movie admissions related to ethnicity? A 2014 study indicated the following numbers of admissions (in thousands) for two different years. At the 0.05 level of significance, can it be concluded
A researcher surveyed 100 randomly selected teachers in a large school district and found that 46 wanted to extend the school year, 42 did not, and 12 had no opinion. At the 0.05 level of
A recent study of 100 individuals found the following living arrangement for men and women. The results are shown. Check the data for a dependent relationship at Î± = 0.05. Spouse
According to records from the Storm Prediction Center, the following numbers of tornadoes occurred in the first quarter of each of years 2012€“2015. Is there sufficient evidence to conclude
A medical researcher wishes to see if hospital patients in a large hospital have the same blood type distribution as those in the general population. The distribution for the general population is as
How are the null and alternative hypotheses stated for the test of homogeneity of proportions?
A professor wishes to see if students show a time preference for statistics classes. A sample of four statistics classes shows the enrollment. At α = 0.01, do the students show a time preference for
How are the expected values computed for each cell in the table?
A store manager wishes to see if the employees of the store had a preference in the types of music played on the speaker system. A survey of 60 employees stated the type of music they preferred. The
When the expected frequency is less than 5 for a specific class, what should be done so that you can use the goodness-of-fit test?
What is the name of the table used in the independence test?
How are the expected values computed for the goodness-of-fit test?
Generally, how would the null and alternative hypotheses be stated for the chi-square independence test?
How are the degrees of freedom computed for the goodness-of-fit test?
How are the degrees of freedom computed for the independence test?
How does the goodness-of-fit test differ from the chi-square variance test?
How is the chi-square independence test similar to the goodness-of-fit test? How is it different?
These data were obtained for the years 2009 through 2014 and indicate the number of fireworks (in millions) used and the related injuries. Predict the number of injuries if 100 million fireworks are
School administrators wondered whether class size and grade achievement (in percent) were related. A random sample of classes revealed the following data. Are the variables linearly related? No. of
School administrators wondered whether class size and grade achievement (in percent) were related. A random sample of classes revealed the following data.Find yÊ¹ when x = 12.For each
The data show the number of stories and the heights (in feet) of a sample of buildings in Chicago.For a building with 55 stories, how high would we expect it be?For each exercise, find the equation
Is there a relationship between the gestation of a sample of animals and the average longevity in years for a random sample of animals? Gestation x 105 285 238 151 112 5 15 Longevity y 41 10
The data show the gestation period in days and the longevity of the lifetime of the animals in years. Predict yÊ¹ if x = 200 days.For each exercise, find the equation of the regression
For the same countries used in Exercise 22, the literacy rates (in percents) for both men and women are listed. Is there a linear relationship between the variables? (The information in this exercise
Is there a relationship between the life expectancy for men and the life expectancy for women in a given country? A random sample of nonindustrialized countries was selected, and the life expectancy
Here are the number of grams of water and the number of grams of carbohydrates for a random selection of raw foods (100 g each). Is there a linear relationship between the variables? Water 83.93
Is the average age of armed services personnel related to the average amount of length of service in months? The data are shown. 24.9 25.6 27.3 Age 26.1 27 66.5 70 74.8 89.6 82.6 Time
Is there a linear relationship between the number of hits a World Series player gets and the number of times at bat the player has? 44 55 39 77 67 51 45 At Bats 67 25 30 23 16 19 20 20 23 Hits 18
The data show the number of hits and the number of at bats for 7 major league players in recent World Series.Find yÊ¹ when x = 60.For each exercise, find the equation of the regression
A researcher wishes to see if there is a relationship between the number of reported cases of measles and mumps for a recent 5-year period. Is there a linear relationship between the two variables?
The data show the number of cases of measles and mumps for a recent 5-year period.Given a year with 100 cases of measles, predict the expected number of cases of mumps for that year.For each
Years and contribution data are as follows:Find yÊ¹ when x = 4 years.For each exercise, find the equation of the regression line and find the yÊ¹ value for the specified x
The average gasoline price per gallon (in cities) and the cost of a barrel of oil are shown below for a random selection of weeks in 2015.Find the cost of gasoline when oil is $60 a barrel.For each
The number of murders and robberies per 100,000 population for a random selection of states are shown.Find yÊ¹ when x = 4.5 murders.For each exercise, find the equation of the regression
A researcher wishes to see if there is a relationship between Internet use by high school students and isolation of the students. Internet use is measured by the number of hours per week that the

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