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EBK STATISTICS FOR BUSINESS AND ECONOMI
13th Edition
ISBN: 8220103633567
Author: Sincich
Publisher: PEARSON
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Textbook Question
Chapter 6.2, Problem 6.18ACI
401 (k) Participation rates. Named for the section of the Internal Revenue Code that authorized them, 401 (k) plans permit employees to shift part of their before-tax salaries into investments such as mutual funds. One company, concerned with what it believed was a low employee participation rate in its 401 (k) plan, sampled 30 other companies with similar plans and asked for their 401(k) participation rates. The following rates (in percentages) were obtained.
80 | 76 | 81 | 77 | 82 | 80 | 85 | 60 | 80 | 79 | 82 | 70 |
88 | 85 | 80 | 79 | 83 | 75 | 87 | 78 | 80 | 84 | 72 | 75 |
90 | 84 | 82 | 77 | 75 | 86 |
- a. Construct a 90% confidence interval for the
mean participation rate for all companies that have 401 (k) plans. - b. Interpret the interval in the context of this problem.
- c. What assumption is necessary to ensure the validity of this confidence interval?
- d. If the company that conducted the sample has a 71% participation rate, can it safely conclude that its rate is below the population mean rate for all companies with 401 (k) plans? Explain.
- e. If in the data set the 60% had been 80%, how would the center and width of the confidence interval you constructed in part a be affected?
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Question 1
The Rotary Club is holding a pizza sale to finance outreach projects. The Club made an
agreement to purchase pizza from Pizza Hut at a 30% discount which the Rotary Club can then
resell for a profit. It is expected that of the 500 families in the community, at most 70% will buy
pizza. Based on a survey of their personal preferences, the students believe that they should order
no more than 120 cheese pizzas, no more than 150 pepperoni pizzas, and no more than 100
vegetarian pizzas. They also want to make sure that at least 20% of the total pizzas are cheese
and at least 50% of the pizzas are pepperoni. The standard price (before discount) for the cheese,
pepperoni and vegetarian is $12, $15 and $14, respectively. The Rotary Club makes a profit of
10%, 15% and 20%, respectively, for each cheese, pepperoni, and vegetarian pizza they resell.
a) Formulate a linear programming model that would determine the optimal solution. An
explanation for the derivation of EACH equation…
Problem Set #3
J) The amount of income spent on housing is an important component of the cost of living. The total
costs of housing for homeowners might include mortgages payments, property taxes, and utility
costs (water, heat, electricity). An economist selected a sample of Inland Empire, California,
homeowners and calculated housing costs as a percent of monthly income, 5 years ago and now.
The information is reported below. Is it reasonable to conclude the percent is less now than 5
years ago? Apply the 6-step hypothesis testing procedure to test using a = 5% (0.05). (LMW)
Five
Years
Now
Ago
Aziz
18
11
Baker
19
38
Cortez
28
36
Duran
42
26
Edgewort
35
11
Foster
44
42
Gomez
46
Hochhack
20
27
Isoko
48
27
Jarvis
48
25
Kenda
36
33
Li
17
33
Morales
24
22
Nasser
32
11
Oliphant
43
39
Pierce
45
43
Quest
29
23
Rawlins
28
18
Sorrento
40
36
Thomas
23
13
Problem:
Out of a total number of 1,807 women who were
interviewed for employment in a Textile factory
of Mumbai 512 were from textile areas and the
rest from the non-textile areas. Amongst the
married women who belonged to textile areas,
247 were experienced and 73 inexperienced,
while for non textile areas, the corresponding
figures were 49 and 520. The total number of
inexperienced women was 1,341 of whom 111
resided in textile areas. Of the total number of
women, 918 were unmarried and of these the
number of experienced women in the textile and
non-textile areas was 154 and 16 respectively.
Tabulate.
Chapter 6 Solutions
EBK STATISTICS FOR BUSINESS AND ECONOMI
Ch. 6.2 - Find z/2 for each of the following: a. a . = .10...Ch. 6.2 - What is the confidence level of each of the...Ch. 6.2 - A random sample of n measurements was selected...Ch. 6.2 - A random sample of 90 observations produced a mean...Ch. 6.2 - A random sample of 70 observations from a normally...Ch. 6.2 - Use the applet Confidence Intervals for a Mean...Ch. 6.2 - Use the applet Confidence Intervals for a Mean...Ch. 6.2 - Prob. 6.6LMCh. 6.2 - Explain the difference between an interval...Ch. 6.2 - Prob. 6.8LM
Ch. 6.2 - Will a large-sample confidence interval be valid...Ch. 6.2 - Heart rate variability of police officers. Are...Ch. 6.2 - Tipping points in daily deal transactions? Online...Ch. 6.2 - Corporate sustainability of CPA firms. Corporate...Ch. 6.2 - College dropout study. Refer to the American...Ch. 6.2 - Wear-out of used display panels. Refer to Exercise...Ch. 6.2 - Unethical corporate conduct. How complicit are...Ch. 6.2 - Shopping on Black Friday. The day after...Ch. 6.2 - 401 (k) Participation rates. Named for the section...Ch. 6.2 - Accounting and Machiavellianism. Refer to the...Ch. 6.2 - Facial structure of CEOs. In Psychological Science...Ch. 6.2 - Improving SAT scores. Refer to the Chance (Winter...Ch. 6.2 - The Raid test kitchen. According to scientists,...Ch. 6.3 - Suppose you have selected a random sample of n = 5...Ch. 6.3 - Use the applet Confidence Intervals for a Mean...Ch. 6.3 - Use the applet Confidence Intervals for a Mean...Ch. 6.3 - Explain the differences in the sampling...Ch. 6.3 - Let t0 be a specific value of t. Use Table III in...Ch. 6.3 - The following random sample was selected from a...Ch. 6.3 - The following sample of 16 measurements was...Ch. 6.3 - Lobster trap placement. An observational study of...Ch. 6.3 - Radon exposure in Egyptian tombs. Many ancient...Ch. 6.3 - Do social robots walk or roll? Refer to the...Ch. 6.3 - Hospital length of stay. Health insurers and the...Ch. 6.3 - Repair and replacement costs of water pipes. Refer...Ch. 6.3 - Prob. 6.34ACICh. 6.3 - Oxygen bubbles in molten salt. Molten salt is used...Ch. 6.3 - Performance of stock screeners. In Exercise 2.44...Ch. 6.3 - Minimizing tractor skidding distance. When...Ch. 6.3 - Crude oil biodegradation. Refer to the Journal of...Ch. 6.3 - Largest private companies. IPOsinitial public...Ch. 6.4 - Describe the sampling distribution of p based on...Ch. 6.4 - Use the applet Confidence Intervals for a...Ch. 6.4 - Prob. 6.6AECh. 6.4 - For the binomial sample information summarized in...Ch. 6.4 - A random sample of size n = 121 yielded p=.88. a....Ch. 6.4 - A random sample of size n = 225 yielded p=.46. a....Ch. 6.4 - A random sample of 50 consumers taste-tested a new...Ch. 6.4 - Customer participation in store loyalty card...Ch. 6.4 - Crash risk of using cell phones while driving....Ch. 6.4 - Zillow.com estimates of home values. Zillow.com is...Ch. 6.4 - Do social robots walk or roll? Refer to the...Ch. 6.4 - Is Starbucks coffee overpriced? The Minneapolis...Ch. 6.4 - Nannies who are INA certified. The International...Ch. 6.4 - Prob. 6.51ACICh. 6.4 - Prob. 6.52ACICh. 6.4 - Minority ownership of franchises. According to a...Ch. 6.4 - Study of aircraft bird-strikes. As worldwide air...Ch. 6.4 - Prob. 6.55ACICh. 6.4 - Diamonds sold on the open market. Refer to the...Ch. 6.4 - Are you really being served red snapper? Refer to...Ch. 6.4 - Eye shadow, mascara, and nickel allergies....Ch. 6.4 - Prob. 6.59ACACh. 6.5 - If you wish to estimate a population mean with a...Ch. 6.5 - Suppose you wish to estimate a population mean...Ch. 6.5 - In each case, find the approximate sample size...Ch. 6.5 - The following is a 90% confidence interval for p:...Ch. 6.5 - It costs you 10 to draw a sample of size n = 1 and...Ch. 6.5 - Suppose you wish to estimate the mean of a normal...Ch. 6.5 - If nothing is known about p. .5 can be substituted...Ch. 6.5 - Aluminum cans contaminated by fire. A gigantic...Ch. 6.5 - Accounting and Machiavellianism. Refer to the...Ch. 6.5 - Lobster trap placement. Refer to the Bulletin of...Ch. 6.5 - Evaporation from swimming pools. Refer to the...Ch. 6.5 - Do social robots walk or roll? Refer to the...Ch. 6.5 - Study of aircraft bird-strikes. Refer to the...Ch. 6.5 - Bacteria in bottled water. Is the bottled water...Ch. 6.5 - Shopping on Black Friday. Refer to the...Ch. 6.5 - Monitoring phone calls to a toll-free number. A...Ch. 6.5 - Eye shadow, mascara, and nickel allergies. Refer...Ch. 6.5 - Prob. 6.77ACICh. 6.5 - Is caffeine addictive? Does the caffeine in...Ch. 6.5 - Prob. 6.79ACACh. 6.6 - Calculate the percentage of the population sampled...Ch. 6.6 - Suppose the standard deviation of the population...Ch. 6.6 - Suppose N = 5,000, n = 64, and s = 24. a. Compare...Ch. 6.6 - Suppose N = 10,000, n = 2,000. and s = 50. a....Ch. 6.6 - Prob. 6.84LMCh. 6.6 - Prob. 6.85LMCh. 6.6 - Prob. 6.86LMCh. 6.6 - NFL player survey. Researchers at the University...Ch. 6.6 - Magazine subscriber salaries. Each year, the trade...Ch. 6.6 - Auditing sampling methods. Traditionally. auditors...Ch. 6.6 - Prob. 6.90ACICh. 6.6 - Invoice errors in a billing system In a study of...Ch. 6.6 - Prob. 6.92ACACh. 6.7 - For each of the following combinations of and...Ch. 6.7 - Given the following values of x, s, and n, form a...Ch. 6.7 - Prob. 6.95LMCh. 6.7 - A random sample of n = 6 observations from a...Ch. 6.7 - Oil content of fried sweet potato chips. The...Ch. 6.7 - Corporate sustainability of CPA firms. Refer to...Ch. 6.7 - Facial structure of CEOs. Refer to the...Ch. 6.7 - Radon exposure in Egyptian tombs. Refer to the...Ch. 6.7 - Drug content assessment. Refer to the Analytical...Ch. 6.7 - Jitter in a water power system. Jitter is a term...Ch. 6.7 - Lobster trap placement Refer to the Bulletin of...Ch. 6.7 - Phishing attacks on e-mail accounts. Refer to the...Ch. 6.7 - Is honey a cough remedy? Refer to the Archives of...Ch. 6 - In each of the following instances determine...Ch. 6 - In random Sample of 400 measurements, 227 of the...Ch. 6 - Prob. 6.109LMCh. 6 - Calculate the finite population correction factor...Ch. 6 - Find /22 and (1/2)2 from Table IV, Appendix D, for...Ch. 6 - Latex allergy in health care workers. Health care...Ch. 6 - Prob. 6.113ACBCh. 6 - Products Made in the USA. Refer to Exercise 2.154...Ch. 6 - Prob. 6.115ACBCh. 6 - Lead and copper in drinking water. Periodically,...Ch. 6 - Water pollution testing. The EPA wants to test a...Ch. 6 - Bankruptcy effect on U.S. airfares. Both Delta...Ch. 6 - Prob. 6.119ACBCh. 6 - Motivation of drug dealers. Refer to the Applied...Ch. 6 - Budget lapsing at army hospitals Budget lapsing...Ch. 6 - Size of diamonds sold at retail. Refer to Exercise...Ch. 6 - Prob. 6.123ACICh. 6 - Prob. 6.124ACICh. 6 - Surface roughness of pipe. Refer to the...Ch. 6 - Interviewing candidates for a job. The costs...Ch. 6 - Overbooking policies for major airlines. Airlines...Ch. 6 - Paying for music downloads if you use the...Ch. 6 - Accuracy of price scanners at Walmart. The...Ch. 6 - Contamination of New Jersey wells. Methyl t-butyl...Ch. 6 - Cell phone use by drivers. Studies have shown that...Ch. 6 - Salmonella poisoning from eating an ice cream bar....Ch. 6 - Prob. 6.133ACICh. 6 - Latex allergy in health care workers. Refer to the...Ch. 6 - Prob. 6.135ACACh. 6 - Accountants salary survey. Each year, Management...Ch. 6 - Prob. 6.137ACACh. 6 - A sampling dispute goes to court. Sampling of...Ch. 6 - Prob. 6.139CTC
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