Statistical Techniques in Business and Economics

18th Edition

ISBN: 9781260579611

Author: Douglas Lind; William Marchal; Samuel Wathen

Publisher: MCGRAW-HILL HIGHER EDUCATION

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Concept explainers

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The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of tw…

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency o…

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A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow compar…

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Textbook Question

Chapter 19, Problem 26CE

Early Morning Delivery Service guarantees delivery of small packages by 10:30 a.m. Of course, some of the packages are not delivered by 10:30 a.m. For a sample of 200 packages delivered each of the last 15 working days, the following numbers of packages were delivered after the deadline: 9, 14, 2, 13, 9, 5, 9, 3, 4, 3, 4, 3, 3, 8, and 4.

a. Determine the mean proportion of packages delivered after 10:30 a.m.
b. Determine the control limits for the proportion of packages delivered after 10:30 a.m. Were any of the sampled days out of control?
c. If 10 packages out of 200 in the sample were delivered after 10:30 a.m. today, is this sample within the control limits?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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Chapter 19, Problem 25CE

Chapter 19, Problem 27CE

Chapter 19 Solutions

Statistical Techniques in Business and Economics

Ch. 19 - The Rouse Home, located on the south side of...Ch. 19 - Tom Sharkey is the owner of Sharkey Chevy, Buick,...Ch. 19 - Out of 110 diesel engines tested, a rework and...Ch. 19 - The manager of River City McDonalds randomly...Ch. 19 - Describe the difference between assignable...Ch. 19 - Describe the difference between an attribute...Ch. 19 - Samples of size n = 4 are selected from a...Ch. 19 - Samples of size 5 are selected from a...Ch. 19 - A new industrial oven has just been installed at...Ch. 19 - Refer to Exercise 7. a. On the basis of this...

Ch. 19 - Auto-Lite Company manufactures car batteries. At...Ch. 19 - Below is a p-chart for a manufacturing process. a....Ch. 19 - Inter-State Moving and Storage Company is setting...Ch. 19 - A bicycle manufacturer randomly selects 10 frames...Ch. 19 - During the process of producing toilet paper,...Ch. 19 - Sams Supermarkets monitors the checkout scanners...Ch. 19 - Dave Christi runs a car wash chain with outlets...Ch. 19 - Compute the probability of accepting a lot of DVDs...Ch. 19 - Determine the probability of accepting lots that...Ch. 19 - Determine the probability of accepting lots that...Ch. 19 - Warren Electric manufactures fuses for many...Ch. 19 - Grills Video Products purchases LCDs from Mira...Ch. 19 - The production supervisor at Westburg Electric...Ch. 19 - The manufacturer of running shoes conducted a...Ch. 19 - At Rumseys Old Fashion Roast Beef, cola drinks are...Ch. 19 - A new machine has just been installed to produce...Ch. 19 - Long Last Tire Company, as part of its inspection...Ch. 19 - Charter National Bank has a staff of loan officers...Ch. 19 - Prob. 25CE Ch. 19 - Early Morning Delivery Service guarantees delivery...Ch. 19 - An automatic machine produces 5.0-millimeter bolts...Ch. 19 - Steele Breakfast Foods Inc. produces a popular...Ch. 19 - An investor believes there is a 5050 chance that a...Ch. 19 - Lahey Motors specializes in selling cars to buyers...Ch. 19 - A process engineer is considering two sampling...Ch. 19 - Christina Sanders is a member of the womens...Ch. 19 - Erics Cookie House sells chocolate chip cookies in...Ch. 19 - The numbers of near misses recorded for the last...Ch. 19 - Prob. 35CE Ch. 19 - Swiss Watches, Ltd. purchases watch stems for...Ch. 19 - Automatic Screen Door Manufacturing Company...Ch. 19 - Prob. 38CE

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Solution Summary: The author calculates the mean proportion of packages delivered after 10:30 a.m. is 0.031. The control limits are 0 and 0.0677. One sampled day is out of control.

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Chapter 19 Solutions