Elementary Statistics: Picturing the World (7th Edition)
7th Edition
ISBN: 9780134683416
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
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Chapter 8.3, Problem 13E
a.
To determine
To identify: The claim and state
b.
To determine
To find: The critical value and rejection regions.
c.
To determine
To find: The value of
d.
To determine
To find: The standardized test statistic t.
e.
To determine
To decide: Whether to reject or fail to reject the null hypothesis when the level of significance
f.
To determine
To interpret: The decision in the context of the original claim.
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Students have asked these similar questions
P-values In Exercises 17–20, do the following:
a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.
b. Find the P- value. (See Figure 8-3 on page 364.)
c. Using a significance level of α = 0.05, should we reject H0 or should we fail to reject H0?
The test statistic of z = 1.00 is obtained when testing the claim that p > 0.3.
Test the claim that the mean GPA of Orange Coast students is larger than the mean GPA of
Coastline students at the 0.01 significance level.
The null and alternative hypothesis would be:
Ho:μο = μc Ho:μο με H1:po pc Hy:μο < με
Reject the null hypothesis
O Fail to reject the null hypothesis
(to 2 decimals)
(to 2 decimals)
Test the claim that the mean GPA of Orange Coast students is smaller than the mean GPA of Coastline
students at the 0.01 significance level.
The null and alternative hypothesis would be:
Ho:Po = Pc Ho:Po > Pc Ho:µ0 µc H1: Ho Pc H1:µo + HC
The test is:
two-tailed left-tailed right-tailed
The sample consisted of 55 Orange Coast students, with a sample mean GPA of 3.46 and a standard
deviation of 0.08, and 55 Coastline students, with a sample mean GPA of 3.49 and a standard deviation of
0.07.
The test statistic is:
(to 2 decimals)
The p-value is:
(to 2 decimals)
Based on this we:
O Fail to reject the null hypothesis
Reject the null hypothesis
Chapter 8 Solutions
Elementary Statistics: Picturing the World (7th Edition)
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