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mathematics
statistics

Questions and Answers of Statistics

For each of the following three populations, indicate what the sampling distribution for samples of 25 would consist of: a. Travel expense vouchers for a university in an academic year b. Absentee
The following data represent the number of days absent per year in a population of six employees of a small company:1 3 6 7 9 10a. Assuming that you sample without replacement, select all possible
The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.63 inches and a standard deviation of 0.03 inch. If you select a random sample of 9 tennis balls,a.
The U.S. Census Bureau announced that the median sales price of new houses sold in 2011 was $227,200, and the mean sales price was $267,900 (www.census.gov/ new home sales, April 1, 2012). Assume
Time spent using email per session is normally distributed, with LL = 8 minutes and a = 2 minutes. If you select a random sample of 25 sessions,a. What is the probability that the sample mean is
The amount of time a bank teller spends with each customer has a population mean of LI = 3.10 minutes and a standard deviation of a = 0.40 minute. If you select a random sample of 16 customers,a.
In a random sample of 64 people, 48 are classified as "successful."a. Determine the sample proportion of "successful" people.b. If the population proportion is 0.70, determine the standard error of
If X = 85, a = 8, and n = 64, construct a 95% confidence interval estimate for the population mean, /x.
The quality control manager at a light bulb factory needs to estimate the mean life of a large shipment of light bulbs. The manufacturer's specifications are that the standard deviation is 100 hours.
If X = 75, S = 24, and n = 36, and assuming that the population is normally distributed, construct a 95% confidence interval estimate for the population mean, (i.
Determine the critical value of t in each of the following circumstances:a. 1 a = 0.95, n = 10b. 1 a = 0.99, n = 10c. 1 a = 0.95, n = 32d. 1 a = 0.95, n = 65e. 1 a = 0.90, n = 16
Assuming that the population is normally distributed, construct a 95% confidence interval estimate for the population mean for each of the following samples:Sample A: 1 1 1 1 8 8 8 8Sample B: 1 2 3 4
Assuming that the population is normally distributed, construct a 95% confidence interval for the population mean, based on the following sample of size n - 1:1 2 3 4 5 6 20Change the number 20 to 7
A stationery store wants to estimate the mean retail value of greeting cards that it has in its inventory. A random sample of 100 greeting cards indicates a mean value of $2.55 and a standard
A survey of nonprofit organizations showed that online fundraising has increased in the past year. Based on a random sample of 60 nonprofits, the mean onetime gift donation in the past year was $62,
The U.S. Department of Transportation requires tire manufacturers to provide tire performance information on the sidewall of a tire to better inform prospective customers as they make purchasing
The file fast food contains the amount that a sample of fifteen customers spent for lunch ($) at a fast food restaurant:7.42 6.29 5.83 6.50 8.34 9.51 7.10 6.80 5.90 4.89 6.50 5.52 7.90 8.30 9.60a.
The file Sedans contains the overall miles per gallon (MPG) of 2012 family sedans:38 24 26 21 25 22 24 34 23 20 37 22 20 33 22 21Source: Data extracted from "Ratings," Consumer Reports, April 2012,
If X = 125, cr = 24, and n = 36, construct a 99% confidence interval estimate for the population mean, /A.
The file E53 contains the overall miles per gallon (MPG) of 2012 small SUVs:20 22 23 22 23 22 22 21 19 22 22 26 23 24 19 21 22 16Source: Data extracted from "Ratings," Consumer Reports, April 2012,
Is there a difference in the yields of different types of investments? The file |33|S3 contains the yields for a one year certificate of deposit (CD) and a five year CD for 24 banks in the United
One of the major measures of the quality of service provided by any organization is the speed with which the organization responds to customer complaints. A large family held department store selling
A manufacturing company produces electric insulators. You define the variable of interest as the strength of the insulators. If the insulators break when in use, a short circuit is likely. To test
The file Market Penetration contains Facebook penetration values (the percentage of a country's population that are Facebook users) for 15 countries:50.19 25.45 4.25 18.04 31.66 49.14 39.99 28.29
One operation of a mill is to cut pieces of steel into parts that are used in the frame for front seats in an automobile. The steel is cut with a diamond saw, and the resulting parts must be cut to
If n = 200 and X = 50, construct a 95% confidence interval estimate for the population proportion. Discuss.
If n = 400 and X = 25, construct a 99% confidence interval estimate for the population proportion. Discuss.
A cell phone provider has the business objective of wanting to estimate the proportion of subscribers who would upgrade to a new cell phone with improved features if it were made available at a
In a survey of 1,200 social media users, 76% said it is okay to friend coworkers, but 56% said it is not okay to friend your boss.a. Construct a 95% confidence interval estimate for the population
Why is it not possible in Example 8.1 on page 274 to have 100% confidence? Explain.
Are you more likely to purchase a brand mentioned by an athlete on a social media site? According to a Catalyst Digital Fan Engagement survey, 53% of social media sports fans would make such a
In a survey of 280 qualified readers of Logistics Management, 62 responded that the "cloud" and Software as a Service (SaaS) is not an option for their firms, citing issues such as security and
In a survey of 1,954 cellphone owners, adults aged 18 and over, 743 reported that they use their phone to keep themselves occupied during commercials or breaks in something they were watching on
What are the factors that influence technology (tech) CEOs' anticipated need to change strategy? In a survey by PricewaterhouseCoopers (PwC), 94 of 115 tech CEOs around the globe responded that
If you want to be 95% confident of estimating the population mean to within a sampling error of ±5 and the standard deviation is assumed to be 15, what sample size is required?
If you want to be 99% confident of estimating the population mean to within a sampling error of +20 and the standard deviation is assumed to be 100, what sample size is required?
If you want to be 99% confident of estimating the population proportion to within a sampling error of +0.04, what sample size is needed?
If you want to be 95% confident of estimating the population proportion to within a sampling error of ±0.02 and there is historical evidence that the population proportion is approximately 0.40,
A survey is planned to determine the ^HSI mean annual family medical expenses of employees of a large company. The management of the company wishes to be 95% confident that the sample mean is correct
If the manager of a paint supply store wants to estimate, with 95% confidence, the mean amount of paint in a 1gallon can to within ±0.004 gallon and also assumes that the standard deviation is 0.02
If a quality control manager wants to estimate, with 95% confidence, the mean life of light bulbs to within ±20 hours and also assumes that the population standard deviation is 100 hours, how many
If the inspection division of a county weights and measures department wants to estimate the mean amount of soft drink fill in 2liter bottles to within ±0.01 liter with 95% confidence and also
A consumer group wants to estimate the mean electric bill for the month of July for singlefamily homes in a large city. Based on studies conducted in other cities, the standard deviation is assumed
An advertising agency that serves a major radio stati wants to estimate the mean amount of time that the station's audience spends listening to the radio daily. From past studies, the standard
A growing niche in the restaurant business is gourmet casual breakfast, lunch, and brunch. Chains in this group include EggSpectation and Panera Bread. Suppose that the mean per person check for
What advertising medium is most influential in making a purchase decision? According to a TVB survey, 37.2% of American adults point to TV. (Data extracted from "TV Seen Most Influential Ad Medium
A survey of 300 U.S. online shoppers was conducted. In response to the question of what would influence the shopper to spend more money online in 2012, 18% said free shipping, 13% said offered
In a study of 368 San Francisco Bay Area nonprofits, 224 reported that they are collaborating with other organizations to provide services, a necessity as nonprofit agencies are called upon to do
According to a new study released by Infosys, a global leader in consulting, outsourcing and technology, more than three quarters (77%) of U.S. consumers say that banking on their mobile device is
Do you use the same password for all your social networking sites? A recent survey (USA Today, July 22, 2010, p. IB) found that 32% of social network users use the same password for all their social
A market researcher selects a simple random sample of n = 100 Twitter users from a population of over 100 million Twitter registered users. After analyzing the sample, she states that she has 95%
Why can you never really have 100% confidence of correctly estimating the population characteristic of interest? Discuss in detail.
Why is the sample size needed to determine the proportion smaller when the population proportion is 0.20 than when the population proportion is 0.50? Discuss.
The Pew Internet Project survey of 2,253 American adults (data extracted from pewinternet.org/Commentary/2012/ February/Pew InternetMobUe) found the following: 1,983 have a cell phone 1,307 have a
What do Americans do to conserve energy? The Associated Press NORC Center for Public Affairs Research conducted a survey of 897 adults who had personally done something to try to save energy in the
A market researcher for a consumer electronics company wants to study the television viewing habits of residents of a particular area. A random sample of 40 respondents is selected, and each
The real estate assessor for a county government wants to study various characteristics of single family houses in the county. A random sample of 70 houses reveals the following:• Heated area of
The personnel director of a large corporation wishes to study absenteeism among clerical workers at the corporation's central office during the year. A random sample of 25 clerical workers reveals
A national association devoted to human resource (HR) and workplace programs, practices, and training wants to study HR department practices and employee turnover of its member organizations. HR
Suppose that you are going to collect a set of data, either from an entire population or from a random sample taken from that population.a. Which statistical measure would you compute first: the mean
The financial impact of IT systems downtime is a concern of plant operations management today. A survey of manufacturers examined the satisfaction level with the reliability and availability of their
The branch manager of an outlet (Store 1) of a nationwide chain of pet supply stores wants to study characteristics of her customers. In particular, she decides to focus on two variables: the amount
Scarlett and Heather, the owners of an upscale restaurant in Dayton, Ohio, want to study the dining characteristics of their customers. They decide to focus on two variables: the amount of money
The manufacturer of Ice Melt claims that its product will melt snow and ice at temperatures as low as 0° Fahrenheit. A representative for a large chain of hardware stores is interested in testing
Claims fraud (illegitimate claims) and buildup (exaggerated loss amounts) continue to be major issues of concern among automobile insurance companies. Fraud is defined as specific material
A quality characteristic of interest for a teabag filling process is the weight of the tea in the individual bags. In this example, the label weight on the package indicates that the mean amount is
A manufacturing company produces steel housings for electrical equipment. The main component part of the housing is a steel trough that is made from a 14gauge steel coil. It is produced using a
The manufacturer of Boston and Vermont asphalt shingles knows that product weight is a major factor in a customer's perception of quality. The last stage of the assembly line packages the shingles
The manufacturer of Boston and Vermont asphalt shingles provides its customers with a 20year warranty on most of its products. To determine whether a shingle will last the entire warranty period,
The manager of a paint supply store wants to estimate the amount of paint contained in 1gallon cans purchased from a nationally known manufacturer. The manufacturer's specifications state that the
Suppose the defendant in Problem 9.9 is presumed guilty until proven innocent. How do the null and alternative hypotheses differ from those in Problem 9.9? What are the meanings of the risks of
Many consumer groups feel that the U.S. Food and Drug Administration (FDA) drug approval process is too easy and, as a result, too many drugs are approved that are later found to be unsafe. On the
Do marketing majors at your school study more than, less than, or about the same as marketing majors at other schools? The Washington Post reported the results of the National Survey of Student
The quality-control manager at a light bulb factory needs to determine whether the mean life of a large shipment of light bulbs is equal to 375 hours. The population standard deviation is 100 hours.
The manager of a paint supply store wants to determine whether the mean amount of paint contained in 1-gallon cans purchased from a nationally known manufacturer is actually 1 gallon. You know from
Suppose that in Problem 9.16, the standard deviation is 0.012 gallon.a. Repeat (a) through (d) of Problem 9.16, assuming a standard deviation of 0.012 gallon.b. Compare the results of (a) to those of
If, in a sample of n = 16 selected from a normal population, = 56 and 5 = 12, what is the value of tSTAT if you are testing the null hypothesis H0 : p. = 50?
If, in a sample of n = 16 selected from a left-skewed population, = 65, and S = 21, would you use the t test to test the null hypothesis H0.μ = 60? Discuss.
If, in a sample of n =160 selected from a left-skewed population, = 65, and S = 21, would you use the t test to test the null hypothesis H0: μ = 60? Discuss.
You are the manager of a restaurant for a fast-food franchise. Last month, the mean waiting time at the drive-through window for branches in your geographic region, as measured from the time a
A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labeled as 8 ounces, the company wants the packages to contain a mean
A stationery store wants to estimate the mean retail value of greeting cards that it has in its inventory. A random sample of 100 greeting cards indicates a mean value of $2.55 and a standard
The U.S. Department of Transportation requires tire manufacturers to provide performance information on tire sidewalls to help prospective buyers make their purchasing decisions. One very important
The file contains the amount that a sample of fifteen customers spent for lunch ($) at a fast-food restaurant:a. At the 0.05 level of significance, is there evidence that the mean amount spent for
An insurance company has the business objective of reducing the amount of time it takes to approve applications for life insurance. The approval process consists of underwriting, which includes a
The following data (in drink) represent the amount of soft drink filled in a sample of 50 consecutive 2-liter bottles. The results, listed horizontally in the order of being filled,a. At the 0.05
One of the major measures of the quality of service provided by any organization is the speed with which it responds to customer complaints. A large family-held department store selling furniture and
A manufacturing company produces steel housings for electrical equipment. The main component part of the housing is a steel trough that is made out of a 14-gauge steel coil. It is produced using a
One operation of a steel mill is to cut pieces of steel into parts that are used in the frame for front seats in an automobile. The steel is cut with a diamond saw and requires the resulting parts
In Problem 3.69, you were introduced to a tea-bag-filling operation. An important quality characteristic of interest for this process is the weight of the tea in the individual bags. The file teabags
An article appearing in The Exponent, an independent college newspaper published by the Purdue Student Publishing Foundation, reported that the average American college student spends one hour (60
In a recent year, the Federal Communications Commission reported that the mean wait for repairs for Verizon customers was 36.5 hours. In an effort to improve this service, suppose that a new repair
In a recent year, the Federal Communications Commission reported that the mean wait for repairs for AT&T customers was 25.3 hours. In an effort to improve this service, suppose that a new repair
Southside Hospital in Bay Shore, New York, commonly conducts stress tests to study the heart muscle after a person has a heart attack. Members of the diagnostic imaging department conducted a quality
You are the manager of a restaurant that delivers pizza to college dormitory rooms. You have just changed your delivery process in an effort to reduce the mean time between the order and completion
A survey of nonprofit organizations showed that online fundraising has increased in the past year. Based on a random sample of 50 nonprofit organizations, the mean one-time gift do-nation in the past
The population mean waiting time to check out of a supermarket has been 10.73 minutes. Recently, in an effort to reduce the waiting time, the supermarket has experimented with a system in which there
If, in a random sample of 400 items, 88 are defective, what is the sample proportion of defective items?
In Problem 9.52, if the null hypothesis is that 20% of the items in the population are defective, what is the value of ZSTAT?
In Problems 9.52 and 9.53, suppose you are testing the null hypothesis H0: π = 0.20 against the two-tail alternative hypothesis H0: π ≠ 0.20 and you choose the level of significance a = 0.05.

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