About 102926 results. 1294 free access solutions
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m424 | Estimate the mean and the standard deviation of the following frequency distribution.
Class Frequency
0 up to 5........ 2
5 up to 10........ 7
10 up to 15........ 12
15 up to 20........ 6
20 up to 25........ 3 |
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m425 | Evaluate (-2x) squared and – 2x squared when x = 3 |
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m426 | Evaluate 2x squared when x = 5 and when x = -5 |
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m427 | Every April, The Masters—one of the most prestigious golf tournaments on the PGA golf tour—is played in Augusta, Georgia. In 2013, 60 players received prize money. The 2013 winner, Adam Scott of Australia, earned a prize of $1,440,000. Miguel Cabrera finished in second place, earning $864,000. Jason Day finished in third place, earning $544,000. The data are briefly summarized below. Each player has three corresponding variables: finishing position or rank, score, and prize (in dollars). The complete file is in the data sets available on the text website, www.mhhe.com/lind16e, labeled as Ex13-36. We want to study the relationship between score and prize.
a. Using Score as the independent variable and Prize as the dependent variable, develop a scatter diagram. Does the relationship appear to be linear? Does it seem reasonable that as Score increases the Prize decreases?
b. What percentage of the variation in the dependent variable, Prize, is accounted for by the independent variable, Score?
c. Calculate a new variable, Log-Prize, computing the log to the base 10 of Prize. Draw a scatter diagram with Log-Prize as the dependent variable and Score as the independent variable.
d. Develop a regression equation and compute the coefficient of determination using Log-Prize as the dependent variable.
e. Compare the coefficient of determination in parts (b) and (d). What do you conclude?
f. Write out the regression equation developed in part (d). If a player shot a total of 2 |
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m428 | This exercise illustrates that poor quality can affect schedules and costs. A manufacturing process has 100 customer orders to fill. Each order requires one component part that is purchased from a supplier. However, typically, 2% of the components are identified as defective, and the components can be assumed to be independent.
(a) If the manufacturer stocks 100 components, what is the probability that the 100 orders can be filled without reordering components?
(b) If the manufacturer stocks 102 components, what is the probability that the 100 orders can be filled without reordering components?
(c) If the manufacturer stocks 105 components, what is the probability that the 100 orders can be filled without reordering components? |
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m429 | Exits along interstate highways were formerly numbered successively from the western or southern border of a state. However, the Department of Transportation has recently changed most of them to agree with the numbers on the mile markers along the highway.
a. What level of measurement were data on the consecutive exit numbers?
b. What level of measurement are data on the milepost numbers?
c. Discuss the advantages of the newer system. |
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m430 | Explain what is meant by this statement: “There is not just one normal probability distribution but a ‘family’ of them.” |
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m431 | f (x,y) = xxxxx
= (log (x))(aretan (aretan(sin(eos(xy)) – log (x + y ))))), |
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m432 | Fairfield Homes is developing two parcels near Pigeon Fork, Tennessee. In order to test different advertising approaches, it uses different media to reach potential buyers. The mean annual family income for 15 people making inquiries at the first development is $150,000, with a standard deviation of $40,000. A corresponding sample of 25 people at the second development had a mean of $180,000, with a standard deviation of $30,000. Assume the population standard deviations are the same. At the .05 significance level, can Fairfield conclude that the population means are different? |
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m433 | Families USA, a monthly magazine that discusses issues related to health and health costs, surveyed 20 of its subscribers. It found that the annual health insurance premiums for a family with coverage through an employer averaged $10,979. The standard deviation of the sample was $1,000.
a. Based on this sample information, develop a 90% confidence interval for the population mean yearly premium.
b. How large a sample is needed to find the population mean within $250 at 99% confidence? |
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m434 | 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 student was asked to rank the careers from 1 to 8, with 1 having the most prestige and 8 the least prestige. An evening student was asked to do the same. The results follow.
Find Spearman’s coefficient of rankcorrelation. |
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m435 | Fashion Industries randomly tests its employees throughout the year. Last year in the 400 random tests conducted, 14 employees failed the test. Develop a 99% confidence interval for the proportion of applicants that fail the test. Would it be reasonable to conclude that 5% of the employees cannot pass the random drug test? Explain. |
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m436 | Fast Service Truck Lines uses the Ford Super Duty F-750 exclusively. Management made a study of the maintenance costs and determined the number of miles traveled during the year followed the normal distribution. The mean of the distribution was 60,000 miles and the standard deviation 2,000 miles.
a. What percent of the Ford Super Duty F-750s logged 65,200 miles or more?
b. What percent of the trucks logged more than 57,060 but less than 58,280 miles?
c. What percent of the Fords traveled 62,000 miles or less during the year?
d. Is it reasonable to conclude that any of the trucks were driven more than 70,000 miles?
Explain. |
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m437 | A fault-tolerant system that processes transactions for a financial services firm uses three separate computers. If the operating computer fails, one of the two spares can be immediately switched online. After the second computer fails, the last computer can be immediately switched online. Assume that the probability of a failure during any transaction is and that the transactions can be considered to be independent events.
(a) What is the mean number of transactions before all computers have failed?
(b) What is the variance of the number of transactions before all computers have failed? |
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m438 | Find a counter-example to Theorem 5-2 if condition (3) is omitted.
Following the hint, consider f: (- 2π, 2π) ->R2 defined by |
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m439 | Find expressions for the partial derivatives of the following functions:
a. f(x,y) = f (g(x)k(y), g(x) + h(y)
b. f(x,y,z) = f(g(+ y), h(y + z))
c. f(x,y,z) = f(xy, yz, zx)
d. f(x,y) = f(x,g(x), h(x,y)) |
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m440 | Find f1 for the following (where g: R -> R is continuous):
(a) f (x, y) = g
(b) f(x, y) = g
(c) f(x,y,z)= |
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m441 | Find the partial derivatives of f in terms of the derivatives of g and h if<br a. f(x,y) = g(x)h(y)<br b. f(x,y) = g(x) h(f)<br c. f(x,y) =g(x)<br d. f(x,y) =g(y)<br e. f(x,y) =g(x+y) |
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m442 | Find the partial derivatives of the following functions:
a. f(x,y,z)=xy
b. f(x,y,z)=z
c. f(x,y)=sin (xsin (y))
d. f(x,y,z)= sin (x sin (y sin(z)))
e. f(x,y,z)=xy2
f. f(x,y,z)=xy=z
g. f(x,y,z)=(x +y)2
h. f(x,y)= sin(xy)
i. f(x,y)= (sin (xy)) cos(3) |
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m443 | Find the partial derivatives of the following functions (where g: R ->R is continuous):
(a) f(x,y ) = fx+ y g
(b) f(x,y ) =fx g
(c) f(x,y ) =f xy g
(d) f(x,y ) =f(fyg)g |
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