MATH 225N Week 8 Final Exam (Version 1)

MATH 225N Week 8 Final Exam (Version 1)


Question 1
·
1/1 points
A fitness center claims that the mean amount of time that a person spends at the gym per visit is
33minutes. Identify the null hypothesis, H0, and the alternative hypothesis, Ha, in terms of the
parameter μ.


That is correct!




H0: μ≠33
; Ha: μ=3
3

H0: μ=33
; Ha: μ≠3
3

H0: μ≥33
; Ha: μ<3
3

H0: μ≤33
; Ha: μ>33

Answer Explanation
Correct answer:

H0: μ=33
; Ha: μ≠33
Let the parameter μbe used to represent the mean. The null hypothesis is always stated with
some form of equality: equal (= ), greater than or equal to (≥ ), or less than or equal to ( ≤).
H0is μ=33
Therefore, in this case, the null hypothesis . The alternative hypothesis is
contradictory to the null hypothesis, so Hais μ≠33.

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, MATH 225N Week 8 Final Exam (Version 1)

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Question 2
·
1/1 points
The answer choices below represent different hypothesis tests. Which of the choices are right-
tailed tests? Select all correct answers.


That is correct!




•


H0:
X≥1
7.1
, Ha:
X<17.
1

•



•


H0:
X=1
4.4
, Ha:
X≠14.
4

•



•


H0:
X≤3
.8, Ha:
X>3.
8

•

, MATH 225N Week 8 Final Exam (Version 1)

•


H0:
X≤7
.4, Ha:
X>7.
4

•



•


H0:
X=3
.3, Ha:
X≠3.
3

•



Answer Explanation
Correct answer:

H0:
X≤3
.8, Ha:
X>3.
8
H0:
X≤7
.4, Ha:
X>7.
4
Remember the forms of the hypothesis tests.

• Right-tailed: H0:
X≤X0, Ha:
X>X0.
• Left-tailed: H0:
X≥X0, Ha:
X<X0.
• Two-tailed: H0:
X=X0, Ha:
X≠X0.

So in this case, the right-tailed tests are:

• H0:
X≤7
.4, Ha:
X>7.
4
• H0:
X≤3
.8, Ha:
X>3.
8

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Question 3