Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Chapter 3, Problem 1P
In a particular college class, there are male and female students. Some students have long hair and some students have short hair. Wr1te the symbols for the probabilities of the events for parts a through J. (Note that you cannot find numerical answers here. You were not given enough information to find any
• Let F be the
• Let M be the event that a student is male.
• Let S be the event that a student has short hair.
• Let L be the event that a student has long hair.
a. The probability that a student does not have long hair.
b. The probability that a student is male or has short hair.
c. The probability that a student is a female and has long hair.
d. The probability that a student is male, given that the student has long hair.
e. The probability that a student has long hair, given that the student is male.
f. Of all the female students, the probability that a student has short hair.
g. Of all students with long hair, the probability that a student is female.
h. The probability that a student is female or has long hair.
1. The probability that a randomly selected student Is a male student with short hair.
J. The probability that a student is female.
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9.2 Testing the Mean mu:
Problem 3
(1 point)
Test the claim that the population of sophomore college
students has a mean grade point average greater than 2.2.
Sample statistics include n = 71, x = 2.44, and s = 0.9.
Use a significance level of a = 0.01.
The test statistic is
The P-Value is between :
The final conclusion is
< P-value <
A. There is sufficient evidence to support the claim that
the mean grade point average is greater than 2.2.
○ B. There is not sufficient evidence to support the claim
that the mean grade point average is greater than 2.2.
Note: You can earn partial credit on this problem.
Note: You are in the Reduced Scoring Period. All work counts for
50% of the original.
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Chapter 3 Solutions
Introductory Statistics
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