Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
9th Edition
ISBN: 9781337098120
Author: Frederick J Gravetter, Larry B. Wallnau, Lori-Ann B. Forzano
Publisher: Cengage Learning
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Textbook Question
Chapter 1.1, Problem 4LC
The SAT is standardized so that the average score on the verbal test is 500 each year. If you select a group of 100 graduating seniors who have taken the verbal SAT, what value would be obtained for their average score?
- a. 500
- b. greater than 500
- c. less than 500
- d. around 500 but probably not equal to 500
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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 1 Solutions
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Ch. 1.1 - A researcher is interested in the fast-food eating...Ch. 1.1 - A researcher is curious about the average distance...Ch. 1.1 - What term is used for the statistical techniques...Ch. 1.1 - The SAT is standardized so that the average score...Ch. 1.2 - Prob. 1LCCh. 1.2 - A researcher studies the factors that determine...Ch. 1.2 - When measuring height to the nearest half inch,...Ch. 1.2 - Ranking a group of cities in terms of "quality of...Ch. 1.3 - In a correlational study, how many variables are...Ch. 1.3 - A research study comparing alcohol use for college...
Ch. 1.3 - A recent study reports that infant rats fed a diet...Ch. 1.4 - What value is represented by the uppercase letter...Ch. 1.4 - What is the value of (X + 1) for the following...Ch. 1.4 - What is the last step in the calculation of (X)2?...Ch. 1 - A researcher is interested in the texting habits...Ch. 1 - Define the terms population and sample, and...Ch. 1 - Statistical methods arc classified into two major...Ch. 1 - Define the terms statistic and parameter and...Ch. 1 - Explain why honesty is a hypothetical construct...Ch. 1 - A lax form asks people to identify their age....Ch. 1 - Four scales of measurement were introduced in this...Ch. 1 - Describe the data for a correlation research study...Ch. 1 - Describe how the goal of an experimental research...Ch. 1 - The results of a recent study showed that children...Ch. 1 - Gentile, Lynch, Linder, and Walsh (2004) surveyed...Ch. 1 - A research study comparing alcohol use for college...Ch. 1 - Stephens, Atkins, and Kingston (2009) conducted an...Ch. 1 - Ackerman and Goldsmith (2011) compared learning...Ch. 1 - There is some evidence that people with a visible...Ch. 1 - Guguen and Jacob (2012) asked waitresses to wear...Ch. 1 - Ford and Torok (2008) found that motivational...Ch. 1 - For the following scores, find the value of each...Ch. 1 - For the following set of scores, find the value of...Ch. 1 - For the following set of scores, find the value of...Ch. 1 - Two scores, X and Y, are recorded for each of n =...Ch. 1 - Use summation notation lo express each of the...Ch. 1 - For the following set of stores, find the value of...
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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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