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free/or 0.5$ |
| m584 | 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 two variables. At the .05 significance level, can we conclude there Is a relationship between the branch location and whether the customer uses a debt card? |
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| m585 | It appears that the imports of carbon black have been increasing by about 10% annually.
a. Determine the logarithmic trend equation.
b. By what percent did imports increase, on the average, during the period?
c. Estimate imports for the year2016. |
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| m586 | 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. Management agreed to try the scheme for a limited time. A listing of the number of subassemblies produced per week before and after the new work environment for each employee follows.
Using the Wilcoxon signed-rank test, determine whether the suggested changes are worthwhile.
a. State the null hypothesis.
b. You decide on the alternate hypothesis.
c. You decide on the level of significance.
d. State the decision rule.
e. Compute T and arrive at a decision.
f. What did you assume about the distribution of thedifferences? |
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| m587 | It is asserted that 80% of the cars approaching an individual toll booth in New Jersey are equipped with an E-ZPass transponder. Find the probability that in a sample of six cars:
a. All six will have the transponder.
b. At least three will have the transponder.
c. None will have a transponder. |
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| m588 | It is estimated that 10% of those taking the quantitative methods portion of the CPA examination fail that section. Sixty students are taking the exam this Saturday.
a. How many would you expect to fail? What is the standard deviation?
b. What is the probability that exactly two students will fail?
c. What is the probability at least two students will fail? |
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| m589 | It is known that two defective copies of a commercial software program were erroneously sent to a shipping lot that has now a total of 75 copies of the program. A sample of copies will be selected from the lot without replacement.
(a) If three copies of the software are inspected, determine the probability that exactly one of the defective copies will be found.
(b) If three copies of the software are inspected, determine the probability that both defective copies will be found.
(c) If 73 copies are inspected, determine the probability that both copies will be found. Hint: Work with the copies that remain in the lot. |
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| m590 | It is reported that 16% of American households use a cell phone exclusively for their telephone service. In a sample of eight households,
a. Find the probability that no household uses a cell phone as their exclusive telephone service.
b. Find the probability that exactly 5 households exclusively use a cell phone for telephone service.
c. Find the mean number of households exclusively using cell phones. |
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| m591 | It is suspected that some of the totes containing chemicals purchased from a supplier exceed the moisture content target. Samples from 30 totes are to be tested for moisture content. Assume that the totes are independent. Determine the proportion of totes from the supplier that must exceed the moisture content target so that the probability is 0.90 that at least one tote in the sample of 30 fails the test. |
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| m592 | It was hypothesized that road construction workers do not engage in productive work 20 minutes on the average out of every hour. Some claimed the nonproductive time is greater than 20 minutes. An actual study was conducted at a construction site, using a stopwatch and other ways of checking the work habits. A random check of workers revealed the following unproductive times, in minutes, during a one-hour period (exclusive of regularly scheduled breaks):
10 25 17 20 28 30 18 23 18
Using the .05 significance level, is it reasonable to conclude the mean unproductive time is greater than 20 minutes?
(a) The null and the alternate hypotheses,
(b) The decision rule, and
(c) The decision regarding the null hypothesis,
(d) Then interpret the result. |
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| m593 | Jacob Lee is a frequent traveler between Los Angeles and San Francisco. For the past month, he wrote down the flight times on three different airlines. The results are:
a. Use the .05 significance level and the six-step hypothesis-testing process to check if there is a difference in the mean flight times among the three airlines.
b. Develop a 95% confidence interval for the difference in the means between Goust andCloudtran. |
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| m594 | 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 in 2014 found that 53% of all physician visits were to primary care physicians, 19% to medical specialists, 17% to surgical specialists, and 11% to emergency departments. Test at the .01 significance level if Isaac employees differ significantly from the survey distribution. Here are their results:
Visit Type Number of Visits
Primary care .......... 29
Medical specialist ........ 11
Surgical specialist ........ 16
Emergency ......... 4 |
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| m595 | 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 Simulates. This device will allow a subject to take a "road test and provide a score Indicating the number of driving errors committed during the test drive. Higher scores indicate more driving errors. Driving errors would Include not coming to a complete stop at a stop sign, not using turning signals, not exercising caution on wet or snowy pavement, and so on. During the road test problems appear at random and not all the problems appear in each road test. These are major advantages to the Rupple Driving Simulator because subjects do not gain any advantage by taking the test several times.
With the new driving stimulator Mr. Thomas would like to study in detail the problem of drunk driving. He begins by selecting a random sample of 25 drivers. He asks each of the selected individuals to take the test drive on the Rupple Driving Simulator_ The number of errors for each driver is recorded. Next, he has each of the individual in the group drink three 16-ounce cans of beer in a 60 minutes period and return to the Rupple Driving Simulator for another test drive. The number of driving errors after drinking the beer is also shown.
The research question is. Does alcohol impair the driver s ability and therefore, increase the number of driving errors?
Mr. Thomas believes the dist |
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| m596 | 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 produced for April2013. |
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| m597 | Kevin Horn is the national sales manager for National Textbooks Inc. He has a sales staff of 40 who visit college professors all over the United States. Each Saturday morning he requires his sales staff to send him a report. This report includes, among other things, the number of professors visited during the previous week. Listed below, ordered from smallest to largest, are the number of visits last week.
a. Determine the median number of calls.
b. Determine the first and third quartiles.
c. Determine the first decile and the ninth decile.
d. Determine the 33rdpercentile. |
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| m598 | Lahey Motors specializes in selling cars to buyers with a poor credit history. Listed below is the number of cars that were repossessed from Lahey customers because they did not meet the payment obligations over each of the last 36 months.
Develop a c-bar chart for the number repossessed. Were there any months when the number was out of control? Write a brief report summarizing yourfindings. |
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| m599 | A large bakery can produce rolls in lots of either 0, 1000, 2000, or 3000 per day. The production cost per item is $0.10. The demand varies randomly according to the following distribution: demand for rolls 0 1000 2000 3000 probability of demand 0.3 0.2 0.3 0.2 Every roll for which there is a demand is sold for $0.30. Every roll for which there is no demand is sold in a secondary market for $0.05. How many rolls should the bakery produce each day to maximize the mean profit? |
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| m600 | A large candy manufacturer is concerned that the mean weight of their bag of Gooey Sour Worms is not greater than 7.3 ounces. It can be assumed that the population standard deviation is .5 ounces based on past experience. A sample of 169 gummy worms is selected and the sample mean is 7.35 ounces. Using a level of significance of .10, is there evidence that the population mean weight of the candy bars is greater than 7.3? Fully explain your answer. |
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| m601 | Le Ei, i = 1,., k be Euclidean spaces of various dimensions. A function f: E1 X. X Ek->Rp is called multi linear if for each choice of xj € Ej, j ≠ I the function f: Ei->Rp defined by g(x) = f(x1,.,xi-1, x,xi +1, ., xk) is a linear transformation.
(a) If is multi linear and i ≠ j, show that for (h=(h1, ., hk), with hi € Ei, we have
Prove that
(b) Df (a1,., ak) x1, ., xk) = =1 f(a1,., ai-1, xi, ai+1,., ak) |
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| m602 | Led f, g: A -> R be integrable and suppose f < g. Show that fA f < f Ag. |
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| m603 | Lester Hollar is vice president for human resources for a large manufacturing company. In recent years, he has noticed an increase in absenteeism that he thinks is related to the general health of the employees. Four years ago, in an attempt to improve the situation, he began a fitness program in which employees exercise during their lunch hour. To evaluate the program, he selected a random sample of eight participants and found the number of days each was absent in the six months before the exercise program began and in the six months following the exercise program. Below are the results. At the .05 significance level, can he conclude that the number of absences has declined? Estimate thep-value. |
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