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business
business statistics for contemporary

Questions and Answers of Business Statistics For Contemporary

In contract negotiations a company claims that a new incentive scheme has resulted in average weekly earnings of at least $400 for all customer service workers.A union representative takes a random
A beer distributor claims that a new display featuring a life-size picture of a well-known rock singer will increase product sales in supermarkets by an average of 50 cases in a week. For a random
A statistics instructor is interested in the ability of students to assess the difficulty of a test they have taken.This test was taken by a large group of students, and the average score was 80.3. A
A process that produces bottles of shampoo, when operating correctly, produces bottles whose contents weigh, on average, 20 ounces. A random sample of nine bottles from a single production run
A company selling licenses for new e-commerce computer software advertises that firms using this software obtain, on average during the first year, a yield of 10% on their initial investments. A
On the basis of a random sample the null hypothesis H0 : m = m0 is tested against the alternative H1 : m 7 m0 and the null hypothesis is not rejected at the 5% significance level.a. Does this
The accounts of a corporation show that, on average, accounts payable are $125.32. An auditor checked a random sample of 16 of these accounts. The sample mean was $131.78 and the sample standard
A random sample of 170 people was provided with a forecasting problem. Each sample member was given, in two ways, the task of forecasting the next value of a retail sales variable. The previous 20
A random sample of 171 employees was asked to rate, on a scale from 1 (not important) to 5 (extremely important), health benefits as a job characteristic. The sample mean rating was 2.07, and the
You have been asked to evaluate single-employer plans after the establishment of the Health Benefit Guarantee Corporation. A random sample of 76 percentage changes in promised health benefits was
A random sample of 1,556 employees at Boris&Boris, Inc., Russia, has been asked to attend an ethics workshop.The employees were asked to rate the following statement from a scale from 1 (strongly
An engineering research center claims that through the use of a new computer control system, automobiles should achieve, on average, an additional 3 miles per gallon of gas. A random sample of 100
Test the hypotheses H0 : m … 100 H1 : m 7 100 using a random sample of n = 49, a probability of Type I error equal to 0.05, and the following sample statistics.a. x = 108; s = 20b. x = 104; s =
Test the hypotheses H0 : m … 100 H1 : m 7 100 using a random sample of n = 36, a probability of Type I error equal to 0.05, and the following sample statistics.a. x = 108; s = 20b. x = 104; s =
A pharmaceutical manufacturer is concerned that the impurity concentration in pills should not exceed 3%. It is known that from a particular production run impurity concentrations follow a normal
Kongsberg Maritime, a Norwegian technology enterprise, receives a shipment of batteries from Grenland Energy, a battery manufacturer in Skien, Norway, and tests a random sample of nine before
A manufacturer of cereals claims that the contents of boxes sold weigh on average at least 20 ounces. The distribution of weight is known to be normal, with a standard deviation of 0.5 ounce. A
A random sample of n = 25 is obtained from a population with variance s2, and the sample mean is computed to be x = 70. Consider the null hypothesis H0 : m = 80 versus the alternative hypothesis H1 :
A random sample is obtained from a population with a variance of s2 = 400, and the sample mean is computed to be xc = 70. Consider the null hypothesis H0 : m = 80 versus the alternative hypothesis H1
A random sample of n = 25 is obtained from a population with variance s2, and the sample mean is computed.Test the null hypothesis H0 : m = 120 versus the alternative hypothesis H1 : m 7 120 with a =
A random sample is obtained from a population with variance s2 = 625, and the sample mean is computed.Test the null hypothesis H0 : m = 100 versus the alternative hypothesis H1 : m 7 100 with a =
Here we have the complement of Exercise 9.5. The 2000 presidential election in the United States was very close, and the decision came down to the results of the presidential voting in the state of
The 2000 presidential election in the United States was very close, and the decision came down to the results of the presidential voting in the state of Florida.The election was finally decided in
Many people in Europe object to purchasing genetically modified food that is produced by farmers in the United States. The U.S. farmers argue that there is no scientific evidence to conclude that
John Stull, senior vice president of manufacturing, is seeking strong evidence to support his hope that new operating procedures have reduced the percentage of underfilled cereal packages from the
The board of a national central bank is meeting to decide if it should reduce interest rates in order to prevent deflation. State the null and alternative hypotheses regarding deflation that the
Mary Arnold wants to use the results of a random sample market survey to seek strong evidence that her brand of breakfast cereal has more than 20% of the total market. Formulate the null and
The Taiwan Real Estate data file contains information on several variables related to houses sold in Taiwan in 2012 and 2013. Build an appropriate 95% confidence interval to compare the age of the
The Taiwan Real Estate data file contains information on several variables related to houses sold in Taiwan in 2012 and 2013. Build an appropriate 90% confidence interval to check if there has been a
A newspaper article reported that 350 people in one state were surveyed and 60% were opposed to a recent court decision. The same article reported that a similar survey of 550 people in another state
The Baby Walking data file contains information concerning the birth, first steps, age, and so on for 98 babies. The variable “siblings” refers to the number of siblings the baby has, and the
Brämhults Juice, based in Sweden, produces chilled fruit and vegetable juices. A manager at Brämhults is considering purchasing a new machine to bottle 16-fluid-ounce (473-milliliter) bottles of
A tuition center employs two statistics professors. The head of the tuition center wants to know if there is a significant difference in the average final exam scores between the students taught by
A proposal for a new 1-cent tax increase to support cancer research is to appear on the ballot in one county’s next election. The residents in Hangzhou and Chengdu, two cities in China, were
To increase the fertility of his crops, a maize farmer adds two types of fertilizers, A and B, to two different areas of his farmland. He selects a random sample of 11 ears of maize planted using
Independent random samples from two normally distributed populations give the following results:nx = 8 x = 77 sx = 6 ny = 13 y = 82 sy = 5a. If we assume that the unknown population variances are
Independent random samples from two normally distributed populations give the following results:nx = 22 x = 2500 sx = 250 ny = 20 y = 2100 sy = 100 If we do not assume that the unknown population
Independent random samples from two normally distributed populations give the following results:nx = 10 x = 250 sx = 14 ny = 17 y = 165 sy = 23 Assume that the unknown population variances are equal
Supermarket shoppers were observed and questioned immediately after putting an item in their cart.Of a random sample of 220 choosing a product at the regular price, 137 claimed to check the price
A random sample of 100 men contained 61 in favor of a state constitutional amendment to retard the rate of growth of property taxes. An independent random sample of 100 women contained 54 in favor of
Would you use your school library more if the hours were extended? From a random sample of 121 freshmen, 75 indicated that they would use the school’s library more if the hours were extended. In an
Regulatory agencies and the U.S. Congress recognize both the values and emerging issues for small firms as the Sarbanes-Oxley Act of 2002 (SOX) is implemented.On April 23, 2006, the Advisory
In randomized, double-blind clinical trials of a new medical supplement, test subjects were randomly divided into two groups. The people in Group X received the new supplement while those in Group Y
Calculate the 95% confidence interval for the difference in population proportions for each of the following:a. nx = 260 pn x = 0.35 ny = 240 pn y = 0.30b. nx = 145 pn x = 0.20 ny = 120 pn y = 0.25
Calculate the margin of error for each of the following:a. nx = 300 pn x = 0.62 ny = 350 pn y = 0.72b. nx = 100 pn x = 0.44 ny = 120 pn y = 0.55
A researcher intends to estimate the effect of a drug on the scores of human subjects performing a task of psychomotor coordination. The members of a random sample of 9 subjects were given the drug
Suppose that for a random sample of 250 firms that revalued their fixed assets, the mean ratio of debt to tangible assets was 0.625 and the sample standard deviation was 0.176. For an independent
Recent business graduates currently employed in full-time positions were surveyed. Family backgrounds were self-classified as relatively high or low socioeconomic status. For a random sample of 16
Happy Heart, Inc., a Norwegian company, offers health care and nutritional services for parents.It uses Birth Season to define when a baby is born 11 = spring/summer; 2 = autumn/winter2 and Walking
In January 2019, the Lufthansa Innovation Hub (LIH)enetered its first collaboration with INSEAD, Singapore.Collaborative learning is a good driver of growth in the current global market. Suppose from
A manufacturer knows that the number of items produced per hour by machine A and by machine B are normally distributed with a standard deviation of 4.6 items for machine A and a standard deviation of
Determine the margin of error for a 95% confidence interval for the difference between population means for each of the following (assume equal population variances):a. nx = 100 s2x= 36 x = 300 ny =
Assuming unequal population variances, determine the number of degrees of freedom for each of the following:a. nx = 16 s2x= 5 ny = 4 s2y= 36b. nx = 9 s2x= 30 ny = 16 s2y= 4
Assuming equal population variances, compute the pooled sample variance s2p for part a through part c of Exercise 8.8.
Assuming equal population variances, determine the number of degrees of freedom for each of the following:a. nx = 16 s2x= 30 ny = 9 s2y= 36b. nx = 12 s2x= 30 ny = 14 s2y= 36c. nx = 20 s2x= 16 ny = 8
Independent random sampling from two normally distributed populations gives the following results:nx = 81; x = 140; s2x= 25 ny = 100; y = 120; s2y= 14 Find a 95% confidence interval estimate of the
Independent random sampling from two normally distributed populations gives the following results:nx = 87; x = 115; sx = 25 ny = 88; y = 109; sy = 15 Find a 99% confidence interval estimate of the
A random sample of six salespeople who attended a motivational course on sales techniques was monitored 3 months before and 3 months after the course.The table shows the values of sales (in thousands
A random sample of 10 pairs of identical houses was chosen in a large Midwestern city, and a passive solar heating system was installed in one house from each pair. The total fuel bills (in dollars)
An educational study was designed to investigate the effectiveness of a reading program of elementary age children. Each child was given a pretest and posttest.Higher posttest scores would indicate
A confidence interval for the difference between the means of two normally distributed populations based on the following dependent samples is desired:Before After 6 8 12 14 8 9 10 13 6 7a. Find the
A dependent random sample from two normally distributed populations gives the following results:n = 11 d = 28.5 sd = 3.3a. Find the 98% confidence interval for the difference between the means of the
As an employee at a Kia showroom in Sweden, you are asked to provide an overview of the range that the cars can drive on a single battery. A random sample of 54 cars is used. Find the 95% confidence
Show algebraically that Equation 7.23 is equal to Equation 7.24. That is, No (N-1)+02 noN no + (N-1)
A simple random sample is to be taken of 527 business majors in a college to estimate the proportion favoring greater emphasis on business ethics in the curriculum.How many observations are necessary
An automobile dealer has an inventory of 328 used cars. The mean mileage of these vehicles is to be estimated.Previous experience suggests that the population standard deviation is likely to be about
The president’s policy on domestic affairs received a 45% approval rating in a recent poll. The margin of error was given as 0.035. What sample size was used for this poll if we assume a 95%
Several drugs are used to treat high blood pressure. A sales specialist for a leading pharmaceutical company randomly sampled the records of 10 sales districts to estimate the number of new
A corporation employs 148 sales representatives. A random sample of 60 of them was taken, and it was found that, for 36 of the sample members, the volume of orders taken this month was higher than
A corporation has 272 accounts receivable in a particular category. A random sample of 50 of them was taken. The sample mean was $492.36, and the sample standard deviation was $149.92.a. Find a 99%
Fifty patients at a hospital display symptoms of hyponatremia, which occurs when the concentration of sodium in the blood is abnormally low. A random sample of 10 patients’ blood sodium level (in
Japan’s rainy season starts in July and continues through August. From a random sample of 40 days in 2021, the mean temperature was around 26.3°C with a standard deviation of 1.6°C. Compute the
The county finance department in Exercise 7.90 also wants information about renewals of disabled parking placards. Suppose that in a sample of 430 transactions for disabled parking placards, it was
Consider the data in Exercise 7.90. It was reported in the local paper that almost two-thirds (from 57%to 63%) of the population prefers the online renewal process. What is the confidence level of
Consider the data in Exercise 7.90. Suppose that we computed for the population proportion who pay for vehicle registration by mail a confidence interval extending from 0.15 to 0.17. What is the
What is the most common method to renew vehicle registration? In checking a random sample of 1,250 motor vehicle renewal registrations in one county, the finance department found that 200 were
The following data represent the scores obtained from a random sample of 20 people who attempted an IQ test having a maximum score of 100:85 92 54 46 98 70 63 56 95 40 57 98 81 47 72 40 68 41 70 94a.
A restaurant conducted a survey to determine whether customers are satisfied with its food delivery service by clicking “Yes” or “No” on an online form shared with them. From a random sample
Dr. Mihaela Sabou wants to estimate the average length of a hospital stay (number of days) for patients with a certain infectious disease. From a random sample of 25 patient records, she finds that
A sample of 33 accounting students recorded the number of hours that they spent studying for a final exam. The data are stored in the data file Study.a. Give an example of an unbiased, consistent,
A teacher selected a random sample of 170 primary students from her school. They were asked what amount they received as daily pocket money. The sample mean response was €2.50, and the sample
The organizers of an economic conference selected a random sample of 180 participants to determine the actual duration of each person’s presentation. The sample mean duration was 18.52 minutes with
Students’ scores on the final statistics test from the previous semester at a university were taken for a random sample of 9 students and were recorded as follows:69 92 82 30 73 91 48 74 62a. Find
Suppose the manager of Croquettenbar Smaeck, a restaurant in Antwerp, Belgium, is estimating the queuing time of the customers until they receive their meals during peak hours. From a random sample
The following data represent the exchange rate of Malaysian ringgit (RMY) to Hong Kong dollar (HKD), retrieved from the Interbank Foreign Exchange Market in Kuala Lumpur, Malaysia, from September 10,
Everyone knows that drinking enough water is important.A health campaign is conducted at a residential area to determine whether the residents drink enough water per day. From a random sample of 26
Students at a university in Ghent, Belgium, are expected to complete a group presentation in 20 minutes as one of the assessments to pass the business module. In a random sample of 18 presentations,
Wosiwosi, a UK-based African food store, specializes in the distribution of wholesale and retail of African and Caribbean food. Suppose the manager wants to estimate the mean amount customers will
An instructor in a class of 417 students is considering the possibility of a take-home final examination. She wants to take a random sample of class members to estimate the proportion who prefer this
The Vikla Golf and country club, Cyprus, wants to poll a random sample of its 560 members to estimate the proportion likely to attend an early-season function.The number of sample observations should
An automobile dealer has an inventory of 500 used cars. To estimate the mean mileage of this inventory, she intends to take a simple random sample of used cars. Previous studies suggest that the
The mean amount of the 1,560 mortgages taken out in Vienna, Austria, in the past year must be estimated.Based on previous experience, a real estate broker knows that the population standard deviation
Determine the sample size needed for each of the following situations.a. N = 5,000; pn = 0.5; 1.96spn = 0.10b. N = 5,000; pn = 0.5; 1.96spn = 0.05
Determine the sample size needed for each of the following situations.a. N = 1,000; s = 450; 1.96sx = 50b. N = 3,000; s = 450; 1.96sx = 50c. N = 1,000,000; s = 450; 1.96sx = 50d. Compare and comment
Determine the sample size needed for each of the following situations.a. N = 785; s = 24; 1.96sx = 5b. N = 785; s = 24; 1.96sx = 88c. N = 785; s = 24; 1.96sx = 190d. Compare and comment on your
The student council at a university wants to estimate the percentage of the student body that supports a change being considered in the academic calendar of the university for the next academic year.
A politician wants to estimate the proportion of constituents favoring a controversial piece of proposed legislation. Suppose that a 99% confidence interval that extends at most 0.05 on each side of
A research group wants to estimate the proportion of consumers who plan to buy a scanner for their PC during the next 3 months.a. How many people should be sampled so that the sampling error is at
How large a sample is needed to estimate the population proportion for each of the following?a. ME = 0.05; a = 0.01b. ME = 0.05; a = 0.10c. Compare and comment on your answers to parts a and b.
How large a sample is needed to estimate the population proportion for each of the following?a. ME = 0.03; a = 0.05b. ME = 0.05; a = 0.05c. Compare and comment on your answers to parts a and b.

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