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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Chapter 6.1, Problem 1LC
A survey of the students in a psychology class revealed that there were 19 females and 8 males. Of the 19 females, only 4 had no brothers or sisters, and 3 of the males were also the only child in the household. If a student is randomly selected from this class,
- a. What is the
probability of obtaining a male? - b. What is the probability of selecting a student who has at least one brother or sister?
- c. What is the probability of selecting a female who has no siblings?
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Question 3
The following stem-and-leaf displays the weekly salary of employees at this firm.
Stem-and-Leaf Display
Leaf Unit = 10.0
N=x
5
3 00123
12 4 0125888
(y)
5 11234456777
z
6 13568
5
7 154
2
8 46
i.
Determine the value of x, y and z.
[3]
ii. What is the value of the median?
[2]
iii.
Find the mode of this data set.
iv.
Calculate the range
[1]
[2]
Let Y be a continuous RV with PDF
otherwise
Find the CDF, Fry), of Y .
Find an expression for pth, p € (0, 1), quantile of the distribution.
Find E(Y) and V(Y).
Find E(-2Y + 1) and V(-3Y - 2).
Find E(Y3).
Let X be a continuous RV with CDF
Find P(X < 0), P(-1 < X < 1) and P(0.5 < X).
Based on your answers to the above questions, what is the median of the distribu-tion? Why
Find the PDF, fx (x), of 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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- A survey of 581 citizens found that 313 of them favor a new bill introduced by the city. We want to find a 95% confidence interval for the true proportion of the population who favor the bill. What is the lower limit of the interval? Enter the result as a decimal rounded to 3 decimal digits. Your Answer:arrow_forwardLet X be a continuous RV with PDF where a > 0 and 0 > 0 are parameters. verify that f-∞ /x (x)dx = 1. Find the CDF, Fx (7), of X.arrow_forward6. [20] Let X be a continuous RV with PDF 2(1), 1≤x≤2 fx(x) = 0, otherwisearrow_forward
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