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mathematics
statistics

Questions and Answers of Statistics

A coin toss is used to decide which team gets the ball first in most sports. It involves little effort and is believed to give each side the same chance. In 47 Super Bowl games, the National Football
According to a study by the American Pet Food Dealers Association, 63% of U.S. house-holds own pets. A report is being prepared for an editorial in the San Francisco Chronicle. As a part of the
Tina Dennis is the comptroller for Meek Industries. She believes that the current cash-flow problem at Meek is due to the slow collection of accounts receivable. She believes that more than 60% of
The policy of the Suburban Transit Authority is to add a bus route if more than 55% of the potential commuters indicate they would use the particular route. A sample of 70 commuters revealed that 42
Past experience at the Crowder Travel Agency indicated that 44% of those persons who wanted the agency to plan a vacation for them wanted to go to Europe. During the most recent season, a sampling of
Research in the gaming industry showed that 10% of all slot machines in the United States stop working each year. Short’s Game Arcade has 60 slot machines and only 3 failed last year. At the .05
An urban planner claims that, nationally, 20% of all families renting condominiums move during a given year. A random sample of 200 families renting condominiums in the Dallas Metroplex revealed that
After a losing season, there is a great uproar to fire the head football coach. In a random sample of 200 college alumni, 80 favor keeping the coach. Test at the .05 level of significance whether the
During the 1990s, the fatality rate for lung cancer was 80 per 100,000 people. After the turn of the century and the establishment of newer treatments and adjustment in public health advertising, a
The Consumer Confidence Survey is a monthly review that measures consumer confidence in the U.S. economy. It is based on a typical sample of 5,000 U.S. households. Last month 9.1% of consumers said
The National Basketball Association had 39 African-American top executives (presidents or vice presidents) among its 388 senior managers. Meanwhile, Major League Baseball had only 11 African
Vehicles heading west on Front Street may turn right, turn left, or go straight ahead at Elm Street. The city traffic engineer believes that half of the vehicles will continue straight through the
The publisher of a sports magazine plans to offer new subscribers one of three gifts: a sweatshirt with the logo of their favorite team, a coffee cup with the logo of their favorite team, or a pair
In a particular metro area, there are three commercial television stations, each with its own news program from 6:00 to 6:30 p.m. According to a report in this morning’s local newspaper, a random
There are four entrances to the Government Center Building in downtown Philadelphia. The building maintenance supervisor would like to know if the entrances are equally utilized. To investigate, 400
The owner of a mail-order catalog would like to compare her sales with the geographic distribution of the population. According to the U.S. Bureau of the Census, 21% of the population lives in the
Banner Mattress and Furniture Company wishes to study the number of credit applications received per day for the last 300 days. The sample information is reported below.Number of Credit
Each of the digits in a raffle is thought to have the same chance of occurrence. The table shows the frequency of each digit for consecutive drawings in a California lottery. Perform the chi-square
John Isaac Inc., a designer and installer of industrial signs, employs 60 people. The company recorded the type of the most recent visit to a doctor by each employee. A national assessment conducted
The Eckel Manufacturing Company believes that their hourly wages follow a normal probability distribution. To confirm this, 270 employees were sampled, organized into the following frequency
The National Cable and Telecommunications Association recently reported that the mean number of HDTVs per household in the United States is 2.30 with a standard deviation of 1.474 sets. A sample of
A survey investigated the publicâ€™s attitude toward the federal deficit. Each sampled citizen was classified as to whether he or she felt the government should reduce the deficit or increase
Did you ever purchase a bag of M&€™s candies and wonder about the distribution of colors? You can go to the website www.baking.m-ms.com and click the United States on the map, then click About
Refer to the Real Estate data, which report information on homes sold in Goodyear, Arizona, and the surrounding area last year.a. Determine the proportion of homes that have an attached garage. At
Refer to the Baseball 2012 data, which report information on the 30 Major League Baseball teams for the 2012 season. Set up a variable that divides the teams into two groups, those that had a winning
Refer to the Buena School District bus data.a. Suppose we consider a bus “old” if it has been in service more than 8 years. At the .01 significance level, can we conclude that less than 40% of
Calorie Watchers has low-calorie breakfasts, lunches, and dinners. If you join the club, you receive two packaged meals a day. Calorie Watchers claims that you can eat anything you want for the third
Many new stockbrokers resist giving presentations to bankers and certain other groups. Sensing this lack of self-confidence, management arranged to have a confidence-building seminar for a sample of
A sample of 45 overweight men participated in an exercise program. At the conclusion of the program, 32 had lost weight. At the .05 significance level, can we conclude the program is effective?a.
A sample of 60 college students was given a special training program designed to improve their time management skills. One month after completing the course, the students were contacted and asked
Pierre’s Restaurant announced that on Thursday night the menu would consist of unusual gourmet items, such as squid, rabbit, snails from Scotland, and dandelion greens. As part of a larger survey,
Assembly workers at Coastal Computers Inc. assemble just one or two subassemblies and insert them in a frame. The executives at CC think that the employees would have more pride in their work if they
The median salary for a chiropractor in the United States is $81,500 per year, according to the U.S. Department of Labor. A group of recent graduates believe this amount is too low. In a random
Central Airlines claims that the median price of a round-trip ticket from Chicago to Jackson Hole, Wyoming, is $503. This claim is being challenged by the Association of Travel Agents, who believe
It has been suggested that daily production of a subassembly would be increased if better lighting were installed and background music and free coffee and doughnuts were provided during the day.
Under what conditions should the Kruskal-Wallis test be used instead of analysis of variance?
The vice president of programming at NBC is finalizing the prime-time schedule for the fall. She has decided to include a hospital drama but is unsure which of two possibilities to select. She has a
IBM Inc. is going to award a contract for fine-line pens to be used nationally in its offices. Two suppliers, Bic and Pilot, have submitted bids. To determine the preference of office employees,
Cornwall and Hudson, a large retail department store, wants to handle just one brand of high-quality CD player. The list has been narrowed to two brands: Sony and Panasonic. To help make a decision,
The Greater Jacksonville, Florida, Real Estate Association claims that the median rental for three-bedroom condominiums is more than $1,200 a month. A random sample of 149 units showed 5 rented for
The Citrus Council of America wants to determine whether consumers prefer plain orange juice or juice with some orange pulp in it. A random sample of 212 consumers was selected. Each member of the
Early in the basketball season, 12 college teams appeared to be outstanding. A panel of sportswriters and a panel of college basketball coaches were asked to rank the 12 teams. Their composite
Professor Bert Forman believes the students who complete his examinations in the shortest time receive the highest grades and those who take the longest to complete them receive the lowest grades. To
An industrial psychologist selected a random sample of seven young urban professional couples who own their homes. The size of their home (square feet) is compared with that of their parents. At the
Toyota USA is studying the effect of regular versus high-octane gasoline on the fuel economy of its new high-performance, 3.5-liter, V6 engine. Ten executives are selected and asked to maintain
A new assembly-line procedure to increase production has been suggested by Mr. Mump. To test whether the new procedure is superior to the old procedure, a random sample of 15 assembly-line workers
The eight observations were randomly selected from two populations (population A and population B) that were not necessarily normally distributed. Use the .05 significance level, a two-tailed test,
Nine observations were randomly selected from population A and eight observations were randomly selected from population B. The populations are not necessarily normally distributed. Use the .05
Tucson State University offers two MBA programs. In the first program, the students meet two nights per week at the university’s main campus in downtown Tucson. In the second program, students only
In recent times, with mortgage rates at low levels, financial institutions have had to provide more customer convenience. One of the innovations offered by Coastal National Bank and Trust is online
The following sample data were obtained from three populations that did not follow a normal distribution.a. State the null hypothesis.b. Using the .05 level of risk, state the decision rule.c.
The following sample data were obtained from three populations where the variances were not equal, and you wish to compare the populations.a. State the null hypothesis.b. Using the .01 level of risk,
Davis Outboard Motors Inc. recently developed an epoxy painting process for corrosion protection on exhaust components. Bill Davis, the owner, wishes to determine whether the lengths of life for the
The National Turkey Association wants to experiment with the effects of three different feed mixtures on weight gain in poults. Because no experience exists regarding the three mixtures, no
Do husbands and wives like the same TV shows? A recent study by Nielsen Media Research asked a young married couple to rank 14 shows from best to worst. A rank of 1 indicates the best-liked show and
Far West University offers both day and evening classes in business administration. One question in a survey of students inquires how they perceive the prestige associated with eight careers. A day
Ten new sales representatives for Clark Sprocket and Chain, Inc. were required to attend a training program before being assigned to a regional sales office. At the end of the program, the
Suppose Texas A & M Universityâ€”Commerce has five scholarships available for the womenâ€™s basketball team. The head coach provided the two assistant coaches with the names of 10 high
The objective of a community research project is to determine whether women are more community conscious before marriage or after 5 years of marriage. A test designed to measure community
Is there a difference in the annual divorce rates in predominantly rural counties among three geographic regions, namely, the Southwest, the Southeast, and the Northwest? Test at the .05 level.
The production manager of MPS Audio Systems Inc. is concerned about the idle time of workers. In particular, he would like to know if there is a difference in the idle minutes for workers on the day
Drs. Trythall and Kerns are studying the mobility of executives in selected industries. Their research measures mobility using a score based on the number of times an executive has moved, changed
A series of questions on sports and world events was asked of 14 randomly selected young adult naturalized citizens. The results were translated into sports and world events â€œknowledgeâ€
Refer to the Real Estate data, which report information on homes sold in Goodyear, Arizona, and the surrounding area.a. Use an appropriate nonparametric test to determine whether there is a
Refer to the Baseball 2012 data, which report information on the 2012 Major League Baseball season.a. Rank the teams by the number of wins and their total team salary. Compute the coefficient of rank
Refer to the data on the school buses in the Buena School District.a. Assume the distribution of the maintenance cost for the three bus manufacturers does not follow a normal distribution. Conduct a
The owner of Beach Front Snow Cones Inc. believes the median number of snow cones sold per day between Memorial Day and Labor Day is 60. Below is the number of snow-cones sold on 20 randomly selected
The manufacturer of children’s raincoats wants to know if there is a preference among children for blue, red, green, or yellow raincoats. The information below is the color preference for a sample
Is there a difference (in feet) of the length of suspension bridges in the northeast, southeast, and far west parts of the United States? The following table shows the lengths of seven bridges in the
Research by the First Bank of Illinois revealed that 8% of its customers wait more than 5 minutes for a teller in a bank lobby. Management considers this reasonable and will not add more tellers
Is there a relationship between the location of the branch bank and whether the customer has a debt cad? Based on the information available, develop a table that shows the relationship between these
John Thomas. the owner of Thomas Testing, has done some contract work for insurance companies regarding drunk driving_ To Improve his research capabilities, he recently purchased the Rupple Driving
PNC Bank Inc., which has its headquarters in Pittsburgh, reported $17,446 (million) in commercial loans in 1995, $19,989 in 1997, $21,468 in 1999, $21,685 in 2000, $15,922 in 2002, $18,375 in 2004,
The table below reports the earnings per share of common stock for Home Depot Inc. for 2003 through 2012. Develop an index, with 2003 as the base, for earnings per share for years 2004 through2012.
Below are the prices of toothpaste (9 oz.), shampoo (7 oz.), cough tablets (package of 100), and antiperspirant (2 oz.) for August 2000 and August 2013. Also included are the quantity purchased. Use
Fruit prices and the amounts consumed for 2000 and 2014 are below. Use 2000 as the base.a. Determine the simple price indexes.b. Determine the simple aggregate price index price index. for the two
The prices and the numbers of various items produced by a small machine and stamping plant are reported below. Use 2000 as the base.a. Determine the simple price indexes.b. Determine the simple
Following are the quantities and prices for the years 2000 and 2014 for Kinzua Valley Geriatrics. Use 2000 as the base period.a. Determine the simple price indexes.b. Determine the simple aggregate
In 2000, the mean salary of classroom teachers in Tinora School District was $28,650. By 2009, the mean salary increased to $33,972, and further increased in 2013 to $37,382. The American Federation
Using 2000 as the base period, compute a simple index of domestic sales for each year from 2000 until 2012. Interpret the trend in domesticsales.
Using 2000 as the base period, compute a simple index of international sales for each year from 2001 until 2012. Interpret the trend in internationalsales.
Using 2000 as the base period, compute a simple index of the number of employees for each year from 2001 until 2012. Interpret the trend in the number ofemployees.
Compute a simple index for the revenue of GE. Use 2004 as the base period. What can you conclude about the change in revenue over theperiod?
Compute a simple index for the revenue of GE using the period 2004€“06 as the base. What can you conclude about the change in revenue over theperiod?
Compute a simple index for the number of employees for GE. Use 2004 as the base period. What can you conclude about the change in the number of employees over theperiod?
Compute a simple index for the number of employees for GE using the period 2004€“06 as the base. What can you conclude about the change in the number of employees over theperiod?
Compute a simple price index for each of the four items. Use 2000 as the baseperiod.
The following table gives information on the Consumer Price Index and the monthly take-home pay of Bill Martin, an employee at Ford Motor Corporation, from 1982€“84 and 2012.a. What is the
Suppose that the Producer Price Index and the sales of Hoskin€™s Wholesale Distributors for 1995 and 2012 are:What are Hoskin€™s real sales (also called deflated sales) for the
Refer to the Baseball 2012 data, which include information on the 2012 Major League Baseball season. The data also include the mean player salary since 1989.a. Use the year 2000 salary as the base
Listed below are the net sales for a San Francisco€“area mail-order retailer for the years 2003 to 2012. Use the mean sales for the earliest three years to determine a base and then find
The prices and production of grains for 2002 and 2012 (www.ers.usda.gov) are listed below.Using 2002 as the base period, find the value index of grains produced for August2012.
Johnson Wholesale Company manufactures a variety of products. The prices and quantities produced for April 2000 and April 2013 are:Using April 2000 as the base period, find the value index of goods
The index of leading economic indicators, compiled and published by the U.S. National Bureau of Economic Research, is composed of 12 time series, such as the average work hours of production in
You are employed by the state bureau of economic development. There is a demand for a leading economic index to review past economic activity and to forecast future economic trends in the state. You
The Trade Union Association of Orlando, Florida, maintains indexes on the hourly wages for a number of the trades. Unfortunately, the indexes do not all have the same base periods. Listed below is
Sam Steward is a freelance Web page designer. Listed below are his yearly wages for several years between 2007 and 2013. Also included is an industry index for Web page designers that reports the
Using the period 2000â€“02 as the base period, compute a simple index of domestic sales for each year from 2003 to2012.
Using the period 2000€“02 as the base period compute a simple index of international sales for each year from 2003 to2012.
Using the period 2000€“02 as the base period compute a simple index of the number of employees for each year from 2003 to2012.

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