Mind On Statistics - Chapter 13 Worksheets With Answers Page 13
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32Chapter 13
Questions 64 and 65: A null hypothesis is that the mean nose lengths of men and women are the same. The
alternative hypothesis is that men have a longer mean nose length than women.
64. Which of the following is the correct way to state the null hypothesis?
p
A.
H
:
0.50
0
B.
H
:
x
x
0
0
1
2
C.
H
:
p
p
0
0
1
2
D.
H
:
0
0
1
2
KEY: D
65. A statistical test is performed for assessing if men have a longer mean nose length than women. The
p-value is 0.225. Which of the following is the most appropriate way to state the conclusion?
A. The mean nose lengths of the populations of men and women are identical.
B. There is not enough evidence to say that that the populations of men and women have different mean nose
lengths.
C. Men have a greater mean nose length than women.
D. The probability is 0.225 that men and women have the same mean nose length.
KEY: B
Questions 66 to 70: An airport official wants to assess if the flights from one airline (Airline 1) are less delayed
than flights from another airline (Airline 2). Let
= average delay for Airline 1 and
= average delay for
1
2
Airline 2. A random sample of 10 flights for Airline 1 shows an average of 9.5 minutes delay with a standard
deviation of 3 minutes. A random sample of 10 flights for Airline 2 shows an average of 12.63 minutes delay with a
standard deviation of 3 minutes. Assume delay times are normally distributed, but do not assume the population
variances are equal. Use the conservative “by hand” estimate for the degrees of freedom.
66. What are the appropriate null and alternative hypotheses?
0
A. H
:
= 0 and H
:
0
1
2
a
1
2
0 and H
B. H
:
:
= 0
0
1
2
a
1
2
C. H
:
= 0 and H
:
< 0
0
1
2
a
1
2
D. H
:
= 0 and H
:
> 0
0
1
2
a
1
2
KEY: C
67. What is the value of the test statistic?
A. t =1.80
B. t =2.00
C. t =2.33
D. None of the above
KEY: C
68. What is the p-value?
A. p-value = 0.021
B. p-value = 0.022
C. p-value = 0.038
D. None of the above
KEY: B
273
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