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mathematics
business statistics

Questions and Answers of Business Statistics

1. Berta samples the IQ scores of 100 third graders. She calculates the standard deviation and obtains a result of –14.5. Based on this result, we can say with certainty thata. The sample included
1. The mean height of female students at a community college is 63.8 inches with a standard deviation of 2.6 inches.a. The majority of female student heights fall between what two values?b. A small
To find out the top traits that women want in a man, more than 1,000 American women ages 21 to 54 were surveyed. The table below shows the results regarding the five most desired personality traits.
Indicate whether the following skewed distributions are positively skewed because the mean exceeds the median or negatively skewed because the median exceeds the mean.1. A distribution of ages of
The table shown below presents data regarding women€™s singles Grand Slam tournaments tennis champions. Since 1968 (the start of the Open era), 45 different women have won one or more major
The 500 Home Run Club includes the baseball players who have hit at least 500 home runs in their professional careers. The table below shows the names of the 500 Home Run Club members, their career
The table below displays the 10 fastest growing metropolitan statistical areas in the U.S. by net change from 2000 to 2010. Use the information in the table to answer the questions shown below the
The table below displays Trip Advisor ratings, as of March 2017, of the Prado National Museum in Madrid and the National Museum of Anthropology in Mexico.Use the data in the table to determine
The table below displays 2014 annual salaries of 500 registered nurses.a. Find the approximate percentile rank of any salary between $55,000 and 59,999.b. Find the approximate percentile rank of any
The table below displays the number of school days missed in a previous month by a sample of 25 third graders.No. of Days ........................ f6 ......................................... 25
Convert the Travel Time to Work distribution shown below to a cumulative frequency distribution by filling in the table. Use frequencies, proportions, and then percents.Travel Time (in minutes)
Which of the following contain outliers in the sets of data collected from seven college students? College Tuition ACT Score 28 Textbook Expense Age 23 $9,840 $800 $540 $320 18 $2,100 18 23 $3,850
Annual income in 2004 is shown below for 30 individuals whose highest level of education was completion of high school.Construct a frequency distribution for grouped data using 10 classes and a class
Students in a theater arts appreciation class rated the film Mad Max: Fury Road on a 10-point scale, ranging from 1 (poor) to 10 (excellent), as follows:Since the number of possible values is
Read the research study description and then answer the questions that follow the description.1. Chapell, Blanding, Silverstein, Takahashi, Newman, Gubi, and McCann (2005) carried out an
For each of the following, does the description indicate the use of random sampling or random assignment?1. Randler, Demirhan, Wüst-Ackermann, and Desch (2016) were interested in reducing the
Indicate whether the following quantitative observations are discrete or continuous.1. According to the 2010 U.S. Census, the population of Chicago was 2,695,598 persons.a. Discreteb. Continuous2.
Select the level of measurement attained by the following sets of observations or data.1. A student’s state of residence (e.g., Wisconsin)a. Nominalb. Ordinalc. Approximately intervald.
Does the statement reference a population (a complete collection of observations) or a sample (any smaller collection of actual observations from a population)?1. A 2013 poll by HuffPost/YouGov found
What type of data are referenced in the bold faced portion of the statement qualitative (a single observation is a word, letter, or numerical code that represents a category), ranked (a single
Does the statement typify descriptive statistics (because it describes sets of actual observations) or inferential statistics (because it generalizes beyond collections of actual observations)?1.
Read the research study description and then answer the questions that follow the description.Researchers in Dublin, Ireland, carried out a study on the effects of a Self-Alert Training (SAT) program
A researcher wants to compare the salaries of registered nurses who work in California, New York, and Florida. The researcher randomly selected several RN€™s in each state and recorded
Researchers were interested in the effects of music on sleep quality. Persons who participated in the research project listened to special music recorded on a CD each night before they went to sleep.
Carry out a one-way analysis of variance on the data shown above. Follow these steps: 1. Present the null and alternative hypotheses. 2. Calculate dfbetween 3. Calculate dfwithin 4. Identify the
Imagine a simple experiment with four groups, each containing three observations. For each of the following four outcomes, indicate whether or not there is variability between groups and also whether
To answer the questions in this exercise, refer to the summary information given below.XÌ…1 = 12.29, s = 0.95, n1 = 7XÌ…2 = 12.86, s = 0.90, n2 = 7XÌ…3 = 13.86, s
To answer the questions in this exercise, refer to the partial ANOVA summary table shown below.1. Calculate SSwithin.2. Calculate dftotal.3. Calculate observed F.4. How many groups of research
To answer the questions in this exercise, refer to the ANOVA summary table shown below.1. How many groups of research participants were included in the analysis?2. What was the total number of
Find the critical values for the following F tests:1. α = .01, dfbetween = 2, dfwithin = 502. α = .01, dfbetween = 2, dfwithin = 2003. α = .05, dfbetween =
The Tire Rack, an online distributor of tires and wheels, conducts extensive testing to provide customers with products that are right for their vehicle, driving style, and driving conditions. In
1. Use descriptive statistics to summarize the data from Triple T’s study. Based on descriptive statistics, what are your preliminary conclusions about whether the time spent by visitors to the
The Harris Poll tracks the favorite sport of Americans who follow at least one sport. Results of the poll show that professional football is the favorite sport of 33% of Americans who follow at least
1. Use descriptive statistics to summarize the data collected by Fresno’s Manager of Product Quality for each of the 5 randomly selected dice. Based on these descriptive statistics, what are your
1. Use descriptive statistics to summarize the data from Fuentes’ study. Based on your descriptive statistics, what are your preliminary conclusions about penetration of Fuentes’ Candied Bacon
At 95% confidence, how large a sample should be taken to obtain a margin of error of .03 for the estimation of a population proportion? Assume that past data are not available for developing a
Using the Fα-notation, identify the F-value having area 0.975 to its left.
State the conditions that are required for using the Mann– Whitney test.
Part of conducting a Mann–Whitney test involves ranking all the data from both samples combined. Explain how to deal with ties.
Using the Fα-notation, identify the F-value having area 0.975 to its left.
What are the small boxes inside the heavy lines of a contingency table called?
Americans eat out very frequently; the average American adult buys a meal or snack from a restaurant 5.8 times a week (The United States Healthful Food Council, December 5, 2015). Assume the standard
1. Tables and/or graphical displays that show the amount of expenditures by category and percentage of total expenditures by category.2. A table that shows the amount of expenditures by department
1. Scatter plots of the measured width of each hole (cm).2. Based on the scatter plots, a discussion of the effectiveness of each vendor and under which conditions (if any) that vendor would be
1. How is the number of customers who arrive on the lot on a Saturday morning distributed?2. Suppose Ms. McNeil currently uses five salespeople on her lot on Saturday mornings. Using the probability
1. How is the number of members of the Accounting Department who are selected to serve on the grievance committee distributed?2. Using the probability distribution you identified in (1), what is the
1. Although they certainly do not want to pay out more than they take in, casinos like to offer games in which players win frequently; casino managers believe this keeps players excited about playing
In January the U.S. unemployment rate dropped to 8.3% (U.S. Department of Labor website, February 10, 2012). The Census Bureau includes nine states in the Northeast region. Assume that the random
Employee retention is a major concern for many companies. A survey of Americans asked how long they have worked for their current employer (Bureau of Labor Statistics website, December 2015).
Suppose that a shipment of 100 boxes of apples has 8 boxes in which the apples show signs of spoilage. A quality control inspection selects 10 boxes at random, opens these selected boxes, and counts
Assume a finite population has 10 elements. Number the elements from 1 to 10 and use the following 10 random numbers to select a sample of size 4..7545 .0936 .0341 .3242 .1449 .9060 .2420 .9773 .5428
Seventy two percent of American adults have read a book within the past year (pewresearch.org, December 3, 2014). Assume this is the true population proportion and that you plan to take a sample
If you examine Procedure 15.6, you will note that a correlation test for normality is always left tailed. Explain why this is so.
In a correlation test for normality, what correlation is computed?
Regarding normal probability plots,a. What are they?b. What is an important use for them?c. How is one used to assess the normality of a variable?d. Why is the method described in part (c) subjective?
Identify a use of the coefficient of determination as a descriptive measure.
A chi-square independence test is to be conducted to decide whether an association exists between two variables of a population. One variable has six possible values, and the other variable has four.
Refer to Exercise 11.43. Assume that the standard deviation of bolt diameters is 0.09 mm.a. Simulate 10,000 bolt diameters.b. Determine the number of bolts whose diameters do not meet the
A hardware manufacturer produces 10-millimeter (mm) bolts. Although the diameters of the bolts can vary somewhat from 10 mm and also from each other, if the variation is too large, too many of the
For a χ2-curve with df = 4, determinea. χ20.005.b. χ20.99.
What symbol is used to denote the F-value having area 0.05 to its right? 0.025 to its right? α to its right?
How is an F-distribution and its corresponding F-curve identified?
We considered three hypothesis-testing procedures based on independent simple random samples to compare the means of two populations with unknown standard deviations.a. Identify the three procedures
The U.S. median annual income for men in 2014 (in constant dollars) was $35,642. A random sample of recent male college graduates indicated the following incomes. At the 0.05 level of significance,
Use Table K to determine whether the null hypothesis should be rejected.ws = 22, n = 14, α = 0.10, two-tailed
Listed are the numbers of on-demand movies rented per month for 20 customers of a particular cable service. Test the data for randomness at the 0.05 level of significance. What would have to occur to
It has been found that many firsttime interviewees commit errors that could very well affect the outcome of the interview. An astounding 77% are guilty of using their cell phones or texting during
State the hypotheses used in the ANOVA test.
What is meant by nonparametric statistics?
Fear of public speaking is a common problem for many individuals. A researcher wishes to see if educating individuals on the aspects of public speaking will help people be more confident when they
Why is the sign test the simplest nonparametric test to use?
Find the critical value from Table L for the rank correlation coefficient, given sample size n and α. Assume that the test is two-tailed.n = 26, α = 0.05
A manufacturer suggests that the median time a rechargeable battery on an electric grass trimmer will last is 420 minutes. A random sample of 30 newly charged batteries shows that 11 lasted longer
When should nonparametric statistics be used?
What is the difference between the Wilcoxon rank sum test and the Wilcoxon signed-rank test?
Find the critical value from Table L for the rank correlation coefficient, given sample size n and α. Assume that the test is two-tailed.n = 26, α = 0.01
The 2014 women's 1000-meter speed skating winning time was 1:14:02, posted by Zhang Hong of China. In preparation for the 2018 Winter Olympics in Pyeongchang, South Korea several randomly selected
A psychologist designed a questionnaire to measure the level of depression among her patients. She divided the patients into three groups: never married, married, and divorced. Then she randomly
In the sign test, what is used as the test value when n ≤ 25?
Find the sum of the signed ranks. Assume that the samples are dependent. State which sum is used as the test value. 154 152 Pretest 106 85 163 117 106 112 105 Posttest 167 142 143 113 84
Find the critical value from Table L for the rank correlation coefficient, given sample size n and α. Assume that the test is two-tailed.n = 9, α = 0.02
When n > 25, what is used in place of Table J for the sign test?
Find the sum of the signed ranks. Assume that the samples are dependent. State which sum is used as the test value. Pretest 38 62 49 82 25 29 63 74 29 45 51 45 32 74 Posttest 87 71
Find the critical value from Table L for the rank correlation coefficient, given sample size n and α. Assume that the test is two-tailed.n = 13, α = 0.05
What is the parametric equivalent test for the Wilcoxon signed-rank test?
A university dean wishes to see if there is a difference in the number of credits community college students transfer as opposed to students who attend a 4-year college and transfer after 2 years.
Why does the term distribution-free describe nonparametric procedures?
The sugar content in grams of three different brands of candy bars is shown. At Î± = 0.05, is there a difference in the number of calories in each type? Brand B 9.2 Brand A 7.6 9.3 Brand
The median age at first marriage in 2014 for women was 27 years€”the highest it has ever been. A random sample of women€™s ages (in years) from recently applied for marriage
Use Table K to determine whether the null hypothesis should be rejected.ws = 13, n = 15, α = 0.01, two-tailed
The National Assessment of Educational Progress (U.S. Department of Education) tests mathematics, reading, and science achievement in grades 4 and 8. A random sample of states is selected, and their
Explain what is meant by the efficiency of a nonparametric test.
Use Table K to determine whether the null hypothesis should be rejected.ws = 32, n = 28, α = 0.025, one-tailed
Rank each set of data.25, 68, 36, 63, 36, 74, 39
Use Table K to determine whether the null hypothesis should be rejected.ws = 65, n = 20, α = 0.05, one-tailed
Rank each set of data.88, 465, 587, 182, 243
A random sample of cable from three different manufacturers is tested for breaking strength. The data (in pounds) are shown. At Î± = 0.05 is there a difference in the breaking strength
Rank each set of data.18.6, 20.7, 2.1, 22.5, 6.2, 11.4, 12.7
Fifty undergraduate students were randomly selected, and 31 favored a summer externship be provided in their major field of study. At α = 0.05 test the hypothesis that more than 50% of the students
Rank each set of data.11.7, 18.6, 41.7, 11.7, 16.2, 5.1, 31.4, 5.1, 14.3

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