Essentials of Statistics for Business and Economics
9th Edition
ISBN: 9780357118191
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams
Publisher: Cengage Learning US
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Textbook Question
Chapter 6, Problem 41SE
Production Defects. Motorola used the
- a. The process standard deviation is .15, and the process control is set at plus or minus one standard deviation. Units with weights less than 9.85 or greater than 10.15 ounces will be classified as defects.
- b. Through process design improvements, the process standard deviation can be reduced to .05. Assume the process control remains the same, with weights less than 9.85 or greater than 10.15 ounces being classified as defects.
- c. What is the advantage of reducing process variation, thereby causing process control limits to be at a greater number of standard deviations from the mean?
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20 km, because
GISS
Worksheet 10
Jesse runs a small business selling and delivering mealie meal to the spaza shops.
He charges a fixed rate of R80, 00 for delivery and then R15, 50 for each packet of
mealle meal he delivers. The table below helps him to calculate what to charge
his customers.
10
20
30
40
50
Packets of mealie
meal (m)
Total costs in Rands
80
235
390
545
700
855
(c)
10.1.
Define the following terms:
10.1.1. Independent Variables
10.1.2. Dependent Variables
10.2.
10.3.
10.4.
10.5.
Determine the independent and dependent variables.
Are the variables in this scenario discrete or continuous values? Explain
What shape do you expect the graph to be? Why?
Draw a graph on the graph provided to represent the information in the
table above.
TOTAL COST OF PACKETS OF MEALIE MEAL
900
800
700
600
COST (R)
500
400
300
200
100
0
10
20
30
40
60
NUMBER OF PACKETS OF MEALIE MEAL
Let X be a random variable with support SX = {−3, 0.5, 3, −2.5, 3.5}. Part ofits probability mass function (PMF) is given bypX(−3) = 0.15, pX(−2.5) = 0.3, pX(3) = 0.2, pX(3.5) = 0.15.(a) Find pX(0.5).(b) Find the cumulative distribution function (CDF), FX(x), of X.1(c) Sketch the graph of FX(x).
Chapter 6 Solutions
Essentials of Statistics for Business and Economics
Ch. 6.1 - The random variable x is known to be uniformly...Ch. 6.1 - The random variable x is known to be uniformly...Ch. 6.1 - Cincinnati to Tampa Flight Time. Delta Airlines...Ch. 6.1 - Excel RAND Function. Most computer languages...Ch. 6.1 - Tesla Battery Recharge Time. The electric-vehicle...Ch. 6.1 - A Gallup Daily Tracking Survey found that the mean...Ch. 6.1 - 7. Suppose we are interested in bidding on a piece...Ch. 6.2 - Using Figure 6.6 as a guide, sketch a normal curve...Ch. 6.2 - A random variable is normally distributed with a...Ch. 6.2 - Draw a graph for the standard normal distribution....
Ch. 6.2 - Given that z is a standard normal random variable,...Ch. 6.2 - Given that z is a standard normal random variable,...Ch. 6.2 - 13. Given that z is a standard normal random...Ch. 6.2 - Given that z is a standard normal random variable,...Ch. 6.2 - Given that z is a standard normal random variable,...Ch. 6.2 - Given that z is a standard normal random variable,...Ch. 6.2 - Height of Dutch Men. Males in the Netherlands are...Ch. 6.2 - Large-Cap Domestic Stock Fund. The average return...Ch. 6.2 - Automobile Repair Costs. Automobile repair costs...Ch. 6.2 - Gasoline Prices. Suppose that the average price...Ch. 6.2 - Mensa Membership. A person must score in the upper...Ch. 6.2 - Television Viewing. Suppose that the mean daily...Ch. 6.2 - Time to Complete Final Exam. The time needed to...Ch. 6.2 - Labor Day Travel Costs. The American Automobile...Ch. 6.2 - Household Income in Maryland. According to Money...Ch. 6.3 - A binomial probability distribution has p=.20 and...Ch. 6.3 - Assume a binomial probability distribution has p =...Ch. 6.3 - Adults Who Smoke. Although studies continue to...Ch. 6.3 - Americans Who Believe Global Warming Is Occurring....Ch. 6.3 - Playing Video Games. Suppose that of those...Ch. 6.3 - Visitors to Rocky Mountain National Park. Rocky...Ch. 6.4 - Consider the following exponential probability...Ch. 6.4 - 33. Consider the following exponential probability...Ch. 6.4 - 34. Battery life between charges for the Motorola...Ch. 6.4 - 35. The time between arrivals of vehicles at a...Ch. 6.4 - 36. Comcast Corporation is the largest cable...Ch. 6.4 - 37. Wendy’s restaurant has been recognized for...Ch. 6.4 - 38. The Boston Fire Department receives 911 calls...Ch. 6 - 39. A business executive, transferred from Chicago...Ch. 6 - NCAA Scholarships. The NCAA estimates that the...Ch. 6 - Production Defects. Motorola used the normal...Ch. 6 - Bringing Items to a Pawnshop. One indicator of the...Ch. 6 - Amazon Alexa App Downloads. Alexa is the popular...Ch. 6 - Service Contract Offer. Ward Doering Auto Sales is...Ch. 6 - Wedding Costs. The XO Group Inc. conducted a 2015...Ch. 6 - College Admissions Test Scores. Assume that the...Ch. 6 - College Graduates Starting Salaries. According to...Ch. 6 - 48. A machine fills containers with a particular...Ch. 6 - Multiple-Choice Exam. Consider a multiple-choice...Ch. 6 - Playing Blackjack. A blackjack player at a Las...Ch. 6 - Mean Time Between Failures. The mean time between...Ch. 6 - The website for the Bed and Breakfast Inns of...Ch. 6 - Do you dislike waiting in line? Supermarket chain...Ch. 6 - Prob. 54SE
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- A well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected. a) Calculate the percentage of components that get rejected. b) In a manufacturing run of 1000 units, how many are expected to be rejected? c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.arrow_forward5. Let X and Y be independent random variables and let the superscripts denote symmetrization (recall Sect. 3.6). Show that (X + Y) X+ys.arrow_forward8. Suppose that the moments of the random variable X are constant, that is, suppose that EX" =c for all n ≥ 1, for some constant c. Find the distribution of X.arrow_forward
- 9. The concentration function of a random variable X is defined as Qx(h) = sup P(x ≤ X ≤x+h), h>0. Show that, if X and Y are independent random variables, then Qx+y (h) min{Qx(h). Qr (h)).arrow_forward10. Prove that, if (t)=1+0(12) as asf->> O is a characteristic function, then p = 1.arrow_forward9. The concentration function of a random variable X is defined as Qx(h) sup P(x ≤x≤x+h), h>0. (b) Is it true that Qx(ah) =aQx (h)?arrow_forward
- 3. Let X1, X2,..., X, be independent, Exp(1)-distributed random variables, and set V₁₁ = max Xk and W₁ = X₁+x+x+ Isk≤narrow_forward7. Consider the function (t)=(1+|t|)e, ER. (a) Prove that is a characteristic function. (b) Prove that the corresponding distribution is absolutely continuous. (c) Prove, departing from itself, that the distribution has finite mean and variance. (d) Prove, without computation, that the mean equals 0. (e) Compute the density.arrow_forward1. Show, by using characteristic, or moment generating functions, that if fx(x) = ½ex, -∞0 < x < ∞, then XY₁ - Y2, where Y₁ and Y2 are independent, exponentially distributed random variables.arrow_forward
- 1. Show, by using characteristic, or moment generating functions, that if 1 fx(x): x) = ½exarrow_forward1990) 02-02 50% mesob berceus +7 What's the probability of getting more than 1 head on 10 flips of a fair coin?arrow_forward9. The concentration function of a random variable X is defined as Qx(h) sup P(x≤x≤x+h), h>0. = x (a) Show that Qx+b(h) = Qx(h).arrow_forward
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