Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305115347
Author: Roxy Peck; Chris Olsen; Jay L. Devore
Publisher: Brooks Cole
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Chapter 4.2, Problem 23E
a.
To determine
Find the variance and standard deviation.
b.
To determine
Explain what the standard deviations state about the repair costs.
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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 4 Solutions
Introduction to Statistics and Data Analysis
Ch. 4.1 - The Insurance Institute for Highway Safety...Ch. 4.1 - The article Caffeine Content of Drinks...Ch. 4.1 - Consumer Reports Health...Ch. 4.1 - Consumer Reports Health...Ch. 4.1 - Prob. 5ECh. 4.1 - Prob. 6ECh. 4.1 - Prob. 7ECh. 4.1 - Each student in a sample of 20 seniors at a...Ch. 4.1 - Prob. 9ECh. 4.1 - The ministry of Health and Long-Term Care in...
Ch. 4.1 - Houses in California are expensive, especially on...Ch. 4.1 - Consider the following statement: More than 65% of...Ch. 4.1 - A sample consisting of four pieces of luggage was...Ch. 4.1 - Suppose that 10 patients with meningitis received...Ch. 4.1 - A study of the lifetime (in hours) for a certain...Ch. 4.1 - An instructor has graded 19 exam papers submitted...Ch. 4.2 - The following data are costs (in cents) per ounce...Ch. 4.2 - Cost per serving (in cents) for six high-fiber...Ch. 4.2 - Combining the cost-per-serving data for high-fiber...Ch. 4.2 - Prob. 20ECh. 4.2 - The accompanying data are consistent with summary...Ch. 4.2 - The paper referenced in the previous exercise also...Ch. 4.2 - Prob. 23ECh. 4.2 - Prob. 24ECh. 4.2 - The accompanying data on number of minutes used...Ch. 4.2 - Give two sets of five numbers that have the same...Ch. 4.2 - Prob. 27ECh. 4.2 - The U.S. Department of Transportation reported the...Ch. 4.2 - The Ministry of Health and Long-Term Care in...Ch. 4.2 - In 1997, a woman sued a computer keyboard...Ch. 4.2 - The standard deviation alone does not measure...Ch. 4.3 - Based on a large national sample of working...Ch. 4.3 - Prob. 33ECh. 4.3 - Prob. 34ECh. 4.3 - Prob. 35ECh. 4.3 - Fiber content (in grams per serving) and sugar...Ch. 4.3 - Shown here are the number of auto accidents per...Ch. 4.4 - The average playing time of music albums in a...Ch. 4.4 - In a study investigating the effect of car speed...Ch. 4.4 - Prob. 40ECh. 4.4 - Mobile homes are tightly constructed for energy...Ch. 4.4 - Prob. 42ECh. 4.4 - A student took two national aptitude tests. The...Ch. 4.4 - Suppose that your younger sister is applying for...Ch. 4.4 - The report Who Borrows Most? Bachelors Degree...Ch. 4.4 - Prob. 46ECh. 4.4 - Prob. 47ECh. 4.4 - Suppose that your statistics professor returned...Ch. 4.4 - Prob. 49ECh. 4.4 - Suppose that the average reading speed of students...Ch. 4.4 - Prob. 51ECh. 4.4 - The accompanying table gives the mean and standard...Ch. 4.5 - The authors of the paper Delayed Time to...Ch. 4.5 - The paper Portable Social Groups: Willingness to...Ch. 4 - Prob. 55CRCh. 4 - Prob. 56CRCh. 4 - Prob. 57CRCh. 4 - Prob. 58CRCh. 4 - Because some homes have selling prices that are...Ch. 4 - Although bats are not known for their eyesight,...Ch. 4 - Prob. 61CRCh. 4 - Prob. 62CRCh. 4 - Prob. 63CRCh. 4 - Prob. 64CRCh. 4 - Prob. 65CRCh. 4 - Prob. 66CRCh. 4 - Prob. 67CRCh. 4 - Prob. 68CRCh. 4 - Prob. 69CRCh. 4 - Prob. 70CRCh. 4 - Prob. 71CRCh. 4 - Age at diagnosis for each of 20 patients under...Ch. 4 - Suppose that the distribution of scores on an exam...
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- 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
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