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Basic Statistics For Business & Economics 6th Canadian Edition Douglas A. Lind, William G Marchal, Samuel A. Wathen, Carol Ann Waite - Solutions
Furniture Land surveyed 600 consumers and found that 414 were enthusiastic about a new home dècor it plans to show in its store in High Point. Construct the 99% confidence interval for the population proportion.
An important factor in selling a residential property is the number of people who look through the home. A sample of 15 homes recently sold in the Halifax, Nova Scotia, area revealed the mean number looking through each home was 24 and the standard deviation of the sample was 5 people. Develop a
The Badik Construction Company limits its business to constructing decks. The mean time to construct one of its standard decks is 8 hours for a two-person construction crew. The information is based on a sample of 40 decks recently constructed. The standard deviation of the sample was 3
A recent study of 50 self-service gasoline stations in a metropolitan area revealed that the mean price of unleaded gas was $1.30 per litre. The sample standard deviation was $0.07 per litre.a. Determine a 99% confidence interval for the population mean price.b. Would it be reasonable to
The Pear Tree would like to estimate the mean amount spent by their customers at their weekend brunch during the summer. The population estimate of the standard deviation is 30 and they want the mean estimate to be within $8, using a 95% level of confidence. How large a sample is required?
There are 300 welders employed at the Weller Shipyards Corporation. A sample of 30 welders revealed that 18 had graduated from a registered welding course. Construct the 95% confidence interval for the proportion of all welders who graduated from a registered welding course.
A shipment of 500 dolls is received by Panda Importers. The quality control manager selects a random sample of 75 to test. Five are found to be defective. Construct a 90% confidence interval for the population proportion of defective dolls in the shipment. Would it be reasonable to find 10
Sixty items are randomly selected from a population of 900. The number of defective items is found to be 12. Develop a 95% confidence interval for the population proportion of defective items.
A gift shop advertises that they stock 500 items that are priced under $50. A sample of 49 items are randomly selected and the sample mean price is $40, with a sample standard deviation of 9. Develop a 99% confidence interval for the population mean price. Is the gift shop advertisement true?
Thirty-six items are randomly selected from a population of 300 items. The sample mean is 35, and the sample standard deviation is 5. Develop a 95% confidence interval for the population mean.
Refer to the Real Estate Data—Saskatoon online, which reports information on home listings.a. Compute the mean and standard deviation of the distribution of the list prices for the homes. Assume this to be the population. Develop a histogram of the data. Would it seem reasonable from this
Out of a sample of 200 students, 75 indicated that they preferred chocolate ice cream to vanilla ice cream.a. Estimate the value of the population proportion of those who preferred chocolate ice cream.b. Compute the standard error of the proportion.c. Determine a 90% confidence interval
An automobile insurance company wants to estimate the mean time workers who are employed in the downtown office spend getting to work. A sample of 15 workers reveals the following number of minutes travelled: Develop a 98% confidence interval for the population mean. Interpret the result. 33 29 38
Taylor Industries and Caldwell Securities are considering jointly offering child care for their employees. As a part of the feasibility study, they wish to estimate the mean weekly child care cost of their employees. A sample of 10 employees who use child care reveals the following amounts, in
In a class of 25 students the average grade on a quiz is 16.85, with a standard deviation is 4.75. The grades are known to be normally distributed.a. Determine the standard error of the mean.b. Determine the 98% confidence interval for the class grades.c. If you wanted a narrower
A sample of 20 observations is selected from a normal population. The sample standard deviation is 26.25, and the sample mean is 75.a. Determine the standard error of the mean.b. Determine the 90% confidence interval for the population mean.c. If you wanted a wider interval, would you
Bob Nale is the owner of Nale’s Texaco Gas Town. Bob would like to estimate the mean number of litres (L) of gasoline sold to his customers. Assume that the number of litres sold follows the normal distribution with a standard deviation of 10 L. From his records, he selects a random sample of 60
A sample of 25 observations is selected from a normal population where the population standard deviation is 4.75. The sample mean is 16.85.a. Determine the standard error of the mean.b. Determine the 98% confidence interval for the population mean.c. If you wanted a narrower interval,
In a sample of 40 days taken at Town Talk Bakery, it was found that an average of 75 cakes per day were sold. From past surveys, the population standard deviation was found to be 25 cakes per day.a. Determine the standard error of the mean number of cakes sold per day.b. Determine the 90%
A sample of 10 observations is selected from a normal population for which the population standard deviation is known to be 5. The sample mean is 20.a. Determine the standard error of the mean.b. Explain why we can use formula (8–1) to determine the 95% confidence interval, even though the
A sample of 81 adults attending a country fair determined that the mean age was 40. Given that the population standard deviation is known to be 5, determine the 95% confidence interval for the population mean age.
Refer to the Real Estate Data—Halifax Area online, which reports information on home listings.a. Compute the mean and standard deviation of the distribution of the list prices for the homes. Assume this to be the population. Develop a histogram of the data. Would it seem reasonable from this
A sample of 49 marketing sales representatives was taken from a normal population to determine the amount of their salary after five years. The sample mean was $55000, with a known population standard deviation of $10000. Determine the 99% confidence interval for the population mean salary.
It has been estimated that 25% of all university students switch majors within their first two years of starting classes. If a random sample of 500 third-year students is taken at a city university, what is an estimate of the probability that 20% or less had switched majors within their first two
Ms. Angelina Marie is considering running for mayor of her town for the second time. The first time, she received 75% of the popular vote. What is the probability that in a sample of 300 town residents, at least 240 would vote in favour of her for town mayor for the second time?
The college cafeteria finds that 30% of students will buy a dessert if it is properly advertised. The cafeteria manager is thinking of hiring an arts student to create a poster of a new apple and ice cream dessert, which could then be displayed at the front entrance to the cafeteria during the
Dawson’s Repair Service orders parts from an electronic company, which advertises its parts to be no more than 2% defective. What is the probability that Bill Dawson finds three or more parts out of a sample of 50 to be defective?
Given p = 0.09 and n = 50, compute the standard error of the proportion.
Given p = 0.45 and n = 200, compute the standard error of the proportion.
The college decided to survey the students according to their programs of study. A random sample was selected from each program.
The college determined that of its 10 000 students, 500 surveys would be sufficient to achieve satisfactory results. The students attending in that semester were sorted according to their student number, and every 20th student on the list was selected for the survey.
Refer to the Whitner Autoplex data on Connect, which include information on the selling prices of vehicles sold at Rob Whitner’s dealership.1. Calculate the mean and standard deviation for the selling prices. Assume this to be the population. Develop a histogram of the data. Would it seem
The Tea Delish Company claims that 40% of its customers are between 35 to 45 years of age. In a random sample of 250 customers:a. What is the probability that between 100 and 115 customers were in the 35 to 45 years age range?b. What is the probability that more than 120 customers were in
The Canadian operation of the Customer Care Department of a global pharmaceutical company receives between 600 and 700 calls per day. The department’s objective is that no more than 5% of the calls are transferred to voice mail. In a random sample of 45 days:a. What is the probability that
A total of 2000 college and university students responded to a provincial survey concerning the number of paid hours they worked during the week while registered in classes. Of particular interest was the number of students who held at least two part-time jobs at the same time while attending
The owner of the Coffee Bean Cafe states that she sells 500 cupcakes per day. Along with staple flavours, such as double chocolate and vanilla bean, which are always available, each day of the week has its own special—such as lemon—which is only baked on Tuesday. Therefore, cupcake sales are
A manufacturing process produces 5% defective items. What is the probability that in a sample of 50 items:a. 10% or more will be defective?b. Less than 1% will be defective?c. More than 10% or less than 1% will be defective?
A convenience store estimates that 25% of its customers come in to buy milk. What is the probability that out of the next 200 customers, 60 or fewer will buy milk?
A preliminary survey shows that 35% of college students smoke. In a class of 42 students, what is the probability that more than half the students smoke?
The average grade in a statistics course has been 69, with a standard deviation of 12.5. If a random sample of 50 is selected from this population, what is the probability that the average grade is more than 73?
The Crossett Trucking Company claims that the mean mass of its delivery trucks when they are fully loaded is 2700 kg and the standard deviation is 68 kg. Assume that the population follows the normal distribution. Forty trucks are randomly selected and their masses measured. Within what limits will
The mean age at which men in Canada marry for the first time is 30.6 years. The standard deviation of the population distribution is 2.5 years. For a random sample of 60 men, what is the likelihood that the age at which they were married for the first time is less than 31.5 years?
Canada’s Wonderland theme park would like to do a survey to find out how often families visit in a season and how long they stay on each visit. How would you suggest taking this sample? What type of sampling have you described?
What is sampling error? Could the value of the sampling error be zero? If it were zero, what would this mean?
List the reasons for sampling. Give an example of each reason for sampling.
The commercial banks in the financial district are to be surveyed. Some of them are very large, with assets of more than $500 million; others are medium-sized, with assets between $100 million and $500 million; and the remaining banks have assets of less than $100 million. Explain how you would
Plastic Products is concerned about the inside diameter of the plastic PVC pipe it produces. A machine extrudes the pipe, which is then cut into three-metre lengths. About 720 pipes are produced per machine during a two-hour period. How would you go about taking a sample from the two-hour
A study of motel facilities in Rock Hill showed there are 25 facilities. The city?s convention and visitors bureau is studying the number of rooms at each facility. The results are as follows: a. Using a table of random numbers (see Appendix B.5), select a random sample of five motels from this
The Sugar Producers Association wants to estimate the mean yearly sugar consumption. A sample of 16 people reveals the mean yearly consumption to be 27 kilograms (kg) with a standard deviation of 9 kg. Assume a normal population.a. What is the value of the population mean? What is the best
A marketing survey was conducted to estimate the proportion of homemakers who would recognize the brand name of a cleanser based on the shape and the colour of the container. Of the 1400 homemakers sampled, 420 were able to identify the brand by name.a. Estimate the value of the population
A recent report indicated a typical family of five spends $650 per month on food. Assume the distribution of food expenditures for a family of five follows a normal distribution, with a mean of $650 and a standard deviation of $120. A sample of 64 is taken.a. What percentage of the families
A recent survey reported that the average person consumes 6 glasses of water per day (250 mL per glass). Assume the standard deviation of water consumption is 1.5 glasses per day and the consumption rate follows a normal probability distribution. A sample of 100 students is taken.a. What is
A retailer claims that 90% of its customers are pleased or very pleased with the customer service. In a survey of 300 customers taken last week, what is the probability that:a. 85% or more will be pleased or very pleased with the service?b. 92% or more will be pleased or very pleased with
A recent study by the Island Resort Taxi Drivers Association showed that the mean fare charged for service from the beach to the airport is $21.00 and the standard deviation is $3.50. We select a sample of 15 fares.a. What is the likelihood that the sample mean is between $20.00 and $23.00?b. What
In recent years, interest rates on home mortgages have been lowered to less than 6.0%. However, a recent study shows that the rate charged on credit card debt is more than 14%. A sample of 10 credit cards showed that the mean rate charged is 15.64%, with a standard deviation of 1.561%. Is it
Global TV news, in a segment on the price of gasoline, reported last evening that the mean price nationwide is $1.25 per litre for self-serve regular unleaded. A random sample of 35 stations in Edmonton revealed that the mean price was $1.27 per litre and that the standard deviation was $0.05 per
Dole Pineapple Inc. is concerned that the 450 mL can of sliced pineapple is being overfilled. The population standard deviation is 0.85 mL. The quality control department took a random sample of 50 cans and found that the arithmetic mean volume was 451.4 mL. At the 5% level of significance, can we
The manager of Tea for Us has been ordering stock based on the assumption that 40% of her customers prefer black teas. The following hypotheses are given:H0: p = 0.40H1: p ≠ 0.40She sampled 120 of her customers and found that only 30% of those preferred black teas. At the 0.05 significance level,
An online retailer ships products from overseas with an advertised delivery date within 10 days. To test whether or not deliveries are made within the advertised time, a random sample of 10 orders is selected from a normal population. The sample mean delivery time is 12 days, and the standard
Given the following hypotheses:H0: μ = 400H1: μ ≠ 400A random sample of 12 observations is selected from a normal population. The sample mean was 407 and the sample standard deviation 6. Using the 0.01 significance level:a. State the decision rule.b. Compute the value of the test
The mean mass of the puppies at five months is 4.35 kg. The masses follow the normal distribution. In an effort to increase their mass, a supplement is added to their daily meals. The subsequent masses of a sample of five-month-old puppies were (in kilograms): At the 0.01 level, has the supplement
A recent national survey found that high school students watched an average (mean) of 6.8 DVDs per month, with a population standard deviation of 0.5 DVDs per month. The distribution of the number of DVDs watched follows the normal distribution. A random sample of 36 college
The manufacturer of the X-15 steel-belted radial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 96600 km. The population standard deviation of the mileage is 8050 km. The Crosset Truck Company bought 48 tires and found that the mean mileage for its
Made Fresh pasta averages a wait time of 20 minutes for customers to pick up their take-out orders. Periodically, the manager will take a sample of the orders to see if the wait times have increased. A sample of 36 orders is selected from a Friday afternoon. The sample mean wait time is 21 minutes.
An online retailer ships products from overseas with an advertised delivery date within 10 days. To test whether or not deliveries are made within the advertised time, a random sample of 36 orders is selected from a normal population. The sample mean delivery time is 12 days, and the known
For each of the following, state the null hypothesis and the alternative hypothesis:a. The publisher of Celebrity Living claims that the mean sales of personality magazines featuring such celebrities as Angelina Jolie or Kim Kardashian is at least 1.5 million per week. A sample of 10 comparable
For each of the following, state the null hypothesis and the alternative hypothesis:a. A new cash register has been installed at the Stop One Convenience Store. The manager wants to see if the new register has made a difference in the average amount of time a customer takes to be served. The
Refer to the Real Estate Data—Saskatoon online, which reports information on home listings. Consider this a population, and take a sample of 20 listings.a. Develop a 90% confidence interval for the mean list price of the homes. Does the true population mean fall in the confidence interval?b.
Refer to the CREA Cities Only data online, which reports information on average house prices nationally and in a selection of cities across Canada.a. Develop an 80% confidence interval for the mean list price for all cities for June 2016. Select all cities.b. Is it possible that the population
Refer to the CREA Cities Only (Canadian Real Estate Association) data online, which reports information on average house prices nationally and in a selection of cities across Canada.a. Develop a 97% confidence interval for the mean list price for all cities for January 2014.b. Is it possible
Refer to the Real Estate Data—Halifax Area online, which reports information on home listings. Consider this a population, and take a sample of 40 listings.a. Develop a 95% confidence interval for the mean list price of the homes. Does the true population mean fall in the confidence interval?b.
A random sample of 25 people who purchased tickets to the Limelight Theatre on a regular basis stated they paid an average of $65.00 per ticket. The sample standard deviation was $6.25 per ticket.a. What is the population mean? What is the best estimate of the population mean?b. Develop a
As part of their business promotional package, the Costa Rica Chamber of Commerce would like an estimate of the mean cost per day to lease a one-bedroom apartment. A random sample of 40 apartments currently available for lease showed the mean cost per day was $323. The standard deviation of the
In a recent poll of 1000 adults nationwide, 613 said they believe other forms of life exist elsewhere in the universe. Construct the 99% confidence interval for the population proportion of those believing life exists elsewhere in the universe. Does your result imply that the majority of Canadians
The Simcoe County Food Emporium claims that ?the typical customer spends $60 per visit.? A sample of 12 customers revealed the following purchases, in dollars, spent last visit: a.?What is the point estimate of the population mean?b.?Develop a 90% confidence interval for the population mean.c. Is
A meat inspector has been given the assignment of estimating the mean net mass of packages of ground chuck labelled “1.4 kg.” Of course, he realizes that the masses cannot be precisely 1.4 kg. A sample of 36 packages reveals the mean mass to be 1.401 kg, with a standard deviation of 0.01
A company conducts a survey of a large number of college undergraduates for information on the following variables: the name of their cell phone provider (e.g., Rogers, Bell), the numbers of minutes used last month (e.g., 200, 400), and their satisfaction with the service (e.g., Terrible, Adequate,
It takes Sandip between 6 and 10 minutes to drive to work each day, depending on the weather and traffic. His travel time is uniformly distributed between these times.a. What are the values for a and b?b. What is the mean of this uniform distribution?c. What is the
The college made a list of all of the classes registered in the semester and then randomly selected 25 classes. All students in the selected 25 classes were surveyed.
Refer to the Real Estate Data—Halifax Area online, which reports information on home listings. The mean list price (in $ thousands) of the homes was computed earlier. Use the normal distribution to estimate the percentage of homes listed for more than $475 000. Compare this to the actual results.
What is the level of measurement for each of the following variables?a. Student IQ (intelligence quotient) ratings.b. Distances students travel to class.c. Student scores on the first statistics test.d. A classification of students by province of birth.e. A ranking of
What is the level of measurement for these items related to the newspaper business?a. The number of papers sold each Sunday during 2016.b. The number of employees in each of the departments, such as editorial, advertising, sports, and so on.c. A summary of the number of papers sold by
For each of the following, determine whether the group is a sample or a population:a. The participants in a study of a new diabetes drug.b. The drivers who received a speeding ticket in Halifax last month.c. Those on welfare in Victoria, B.C.d. The 30 stocks reported as a part
Electronic book readers allow users to browse, shop, download, and read e-books, blogs, newspapers, and magazines, all displayed in full colour. Assume that you know the number of units sold each day for the last month at the West Edmonton Mall. Describe a condition in which this information could
A random sample of 300 executives out of 2500 employed by a large firm showed that 270 would move to another location if it meant a substantial promotion. On the basis of these findings, write a brief note to management regarding all executives in the firm.
A random sample of 500 customers is asked to comment on the take-out service at The Chicken Hut. Of the 500 customers surveyed, 400 said it was excellent, 32 thought it was fair, and the remaining customers had no opinion. On the basis of these sample findings, make an inference about the reaction
The following table reports the number of tickets sold at an ice rink for sports activities for the months of January last year and January this year: a. Compare the total sales in the two years. What would you conclude? Has there been an increase or decrease in sales?b. Compare the percentage
The following data is the number of seconds it took to save a large file. Determine the median and the values corresponding to the first and third quartiles. 8.81 6.02 9.45 8.35 7.59 6.67 7.30 7.99 8.03 5.24 9.61 11.86 10.39 12.22 12.71 13.89 15.42 10.37 13.07 13.59
The variable “grade”:a. Is it qualitative or quantitative?b. Is it discrete or continuous?c. What is its level of measurement?Who had a grade of less than 50% on their first test are required to take a three-hour upgrading class in order to continue in the course.
“Statistics 101”:a. Is it a qualitative or quantitative variable?b. What is its level of measurement?Who had a grade of less than 50% on their first test are required to take a three-hour upgrading class in order to continue in the course.
The variable “box office sales”:a. Is it qualitative or quantitative?b. Is it discrete or continuous?c. What is its level of measurement?Is there a relationship between box office sales and the associated box office budget (total amount available to spend making the picture)?
The variable “box office sales”:a. Is it qualitative or quantitative?b. Is it discrete or continuous?c. What is its level of measurement?Is there a relationship between box office sales and the associated box office budget (total amount available to spend making the picture)?
Is the information collected from a sample or a population?The Shell station on Portage Avenue in Winnipeg is studying the number of litres of fuel that are sold on each day of the week. Records are available for the past year.
The variable “number of litres”:a. Is it qualitative or quantitative?b. Is it discrete or continuous?c. What is its level of measurement?The Shell station on Portage Avenue in Winnipeg is studying the number of litres of fuel that are sold on each day of the week. Records are
Would the 50 employees be considered a population or a sample?PlayTime Toys Inc. employs 50 people in the Assembly Department. Of the employees, 40 belong to a union, and 10 do not. Five employees are selected at random to form a committee to meet with management regarding shift starting times.
Would the five selected employees be considered a population or a sample?PlayTime Toys Inc. employs 50 people in the Assembly Department. Of the employees, 40 belong to a union, and 10 do not. Five employees are selected at random to form a committee to meet with management regarding shift starting
The variable “major”:a. Is it qualitative or quantitative?b. What is its level of measurement?A survey of students in the School of Business at Northern College revealed the following regarding the gender and majors of the students:
The spread in the annual prices of stocks selling for under $10 and the spread in prices of those selling for over $60 are to be compared. The mean price of the stocks selling for under $10 is $5.25 and the standard deviation $1.52. The mean price of those stocks selling for over $60 is $92.50 and
The variable “gender”:a. Is it qualitative or quantitative?b. What is its level of measurement?A survey of students in the School of Business at Northern College revealed the following regarding the gender and majors of the students:
For the following variables, classify each as discrete or continuous qualitative or quantitative, and determine the level of measurement:a. Salary.b. Gender.c. Sales volume of MP3 players.d. Soft drink preference.e. Temperature.f. GPA score.g. Student rank in
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