Essentials of Statistics for the Behavioral Sciences
8th Edition
ISBN: 9781133956570
Author: Frederick J Gravetter, Larry B. Wallnau
Publisher: Cengage Learning
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Textbook Question
Chapter 6, Problem 17P
A recent newspaper article reported the results of a survey of well-educated suburban parents. The responses to one question indicated that by age 2, children were watching an average of μ = 60 minutes of television each day. Assuming that the distribution of television-watching times is normal with a standard deviation of σ = 25 minutes, find each of the following proportions.
- a. What proportion of 2-year-old children watch more than 90 minutes of television each day?
- b. What proportion of 2-year-old children watch less than 20 minutes a day?
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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 the Behavioral Sciences
Ch. 6.1 - A survey of the students in a psychology class...Ch. 6.1 - A jar contains 10 red marbles and 30 blue marbles....Ch. 6.1 - Suppose that you are going to select a random...Ch. 6.2 - Find the proportion of a normal distribution that...Ch. 6.2 - For a normal distribution, find the z-score...Ch. 6.2 - Prob. 3LCCh. 6.3 - For a normal distribution with a mean of = 60 and...Ch. 6.3 - Scores on the Mathematics section of the SAT...Ch. 6.3 - What is the probability of selecting a score...Ch. 6 - A local hardware store has a Savings Wheel at the...
Ch. 6 - A psychology class consists of 14 males and 36...Ch. 6 - What are the two requirements for a random sample?Ch. 6 - Draw a vertical line through a normal distribution...Ch. 6 - Draw a vertical line through a normal distribution...Ch. 6 - Find each of the following probabilities for a...Ch. 6 - What proportion of a normal distribution is...Ch. 6 - Find each of the following probabilities for a...Ch. 6 - Find the z-score location of a vertical line that...Ch. 6 - Find the z-score boundaries that separate a normal...Ch. 6 - A normal distribution has a mean of = 70 and a...Ch. 6 - A normal distribution has a mean of = 30 and a...Ch. 6 - For a normal distribution with a mean of = 60 and...Ch. 6 - IQ test scores are standardized to produce a...Ch. 6 - The distribution of SAT scores in normal with =...Ch. 6 - According to a recent, people smile an average of ...Ch. 6 - A recent newspaper article reported the results of...Ch. 6 - Information from the Department of Motor Vehicles...Ch. 6 - A consumer survey indicates that the average...Ch. 6 - A report in 2010 indicates that Americans between...Ch. 6 - Rochester. New York, averages = 21.9 inches of...
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- 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
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