26.
Lucy Baker is analyzing demographic characteristics of two television programs,
COPS
(population 1) and
60 Minutes
(population 2).
Previous studies indicate no
difference in the ages of the two audiences.
(The mean age of each audience is the
same.)
Lucy plans to test this hypothesis using a random sample of 100 from each
audience.
Her null hypothesis is ____________.
a)
μ
1

μ
2
≠
b)
μ
1

μ
2
>
c)
μ
1

μ
2
= 0
d)
μ
1

μ
2
<
e)
μ
1

μ
2
<
Ans: c
0
0
0
1
Response: See section 10.1 Hypothesis Testing and Confidence Intervals about the
Difference in Two Means using the
z
Statistic (Population Variances Known)
Difficulty: Medium
27.
Lucy Baker is analyzing demographic characteristics of two television programs,
COPS
(population 1) and
60 Minutes
(population 2).
Previous studies indicate no
difference in the ages of the two audiences.
(The mean age of each audience is the
same.)
Lucy plans to test this hypothesis using a random sample of 100 from each
audience.
Her alternate hypothesis is ____________.
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0
0
0
Response: See section 10.1 Hypothesis Testing and Confidence Intervals about the
Difference in Two Means using the
z
Statistic (Population Variances Known)
Difficulty: Medium
28.
Lucy Baker is analyzing demographic characteristics of two television programs,
COPS
(population 1) and
60 Minutes
(population 2).
Previous studies indicate no
difference in the ages of the two audiences.
(The mean age of each audience is the
same.)
Her staff randomly selected 100 people from each audience, and reported the
following:
x
1
= 43 years and
x
2
= 45 years.
Assume that
σ
1
= 5 and
σ
2
= 8.
twotail test and
α
= .05, the critical
z
values are _________________.
With a
Response: See section 10.1 Hypothesis Testing and Confidence Intervals about the
Difference in Two Means using the
z
Statistic (Population Variances Known)
Difficulty: Medium
29.
Lucy Baker is analyzing demographic characteristics of two television programs,
COPS
(population 1) and
60 Minutes
(population 2).
Previous studies indicate no
difference in the ages of the two audiences.
(The mean age of each audience is the
same.)
Her staff randomly selected 100 people from each audience, and reported the
following:
x
1
= 43 years and
x
2
= 45 years.
Assume that
σ
1
= 5 and
σ
2
= 8.
Assuming
a twotail test and
α
= .05, the observed
z
value is _________________.
Response: See section 10.1 Hypothesis Testing and Confidence Intervals about the
Difference in Two Means using the
z
Statistic (Population Variances Known)
Difficulty: Medium