ELEMENTARY STATISTICS W/CONNECT >IP<
4th Edition
ISBN: 9781259746826
Author: Bluman
Publisher: MCG
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Question
Chapter 13.3, Problem 3E
a.
To determine
To state: The hypotheses and identify the claim.
b.
To determine
To find: The critical value.
c.
To determine
To find: The test statistic value.
d.
To determine
To make: The decision.
e.
To determine
To summarize: The result.
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Consider the hypothesis statement shown below using
α=0.01
and the data to the right from two independent samples.
H0: μ1−μ2=0
H1: μ1−μ2≠0
a) Calculate the appropriate test statistic and interpret the result.
b) Calculate the p-value and interpret the result.
x1
=
237
x2
=
258
σ1
=
48
σ2
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n1
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43
n2
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The effectiveness of a new bug repellent is tested on 1616 subjects for a 10 hour period. (Assume normally distributed population.) Based on the number and location of the bug bites, the percentage of surface area exposed protected from bites was calculated for each of the subjects. The results were as follows:
?⎯⎯⎯=92x¯=92, ?=13 s=13
The new repellent is considered effective if it provides a percent repellency of at least 9090. Using ?=0.05α=0.05, construct a hypothesis test with null hypothesis ?≤90μ≤90 and alternative hypothesis ?>90μ>90 to determine whether the mean repellency of the new bug repellent is greater than 9090 by computing the following:
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Amateur triathletes who competed in the 2019 Lake Placid Ironman were classified by age and satisfaction with the race course with the following results:
18 to 34
35 to 49
50 to 79
Satisfied
570
755
165
Dissatisfied
120
140
118
Do these data provide sufficient evidence at the 0.05 level of significance to conclude that age and satisfaction are independent?
Use the Critical Value Method of Testing.
In your work space below, you will need to have -1. The null hypothesis, Ho 2. The alternative hypothesis, H1
3. The expected frequencies for each table value 4. The test statistic 5. The critical value 6. The decision to accept Ho or reject Ho
Chapter 13 Solutions
ELEMENTARY STATISTICS W/CONNECT >IP<
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