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Mathematics
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Behavioral Sciences STAT
Quiz 9: Hypothesis Testing Using the Two-Sample T-Test
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Question 21
Essay
If a researcher predicts the experimental treatment
(
X
ˉ
1
−
X
ˉ
2
>
0
)
\left(\bar{X}_{1}-\bar{X}_{2}>0\right)
(
X
ˉ
1
​
−
X
ˉ
2
​
>
0
)
X
ˉ
2
\bar{X}_{2}
X
ˉ
2
​
will produce an decrease in an independent-samples t-test , how will the alternative hypothesis be stated?
Question 22
Essay
Suppose you measure the IQ of 14 subjects with short index fingers and the IQ of 14 subjects with long index fingers.You compute an independent-samples t-test, and the
t
o
b
t
t_{o b t}
t
o
b
t
​
is 0.29, which is not statistically significant.What is the most appropriate conclusion?
Question 23
Essay
If a researcher predicts the experimental treatment
(
X
ˉ
1
−
X
ˉ
2
<
0
)
\left(\bar{X}_{1}-\bar{X}_{2}<0\right)
(
X
ˉ
1
​
−
X
ˉ
2
​
<
0
)
X
ˉ
2
\bar{X}_{2}
X
ˉ
2
​
will produce an increase in an independent-samples t-test , how will the null hypothesis be stated?
Question 24
Short Answer
When
H
0
H_{0}
H
0
​
is true, what does the mean of the sampling distribution of differences between means equal?
Question 25
Essay
Suppose the average reading speed of 15 randomly selected elementary school students is 25, and the average reading speed of 15 randomly selected middle school students is 31.You compute an independent-samples t-test, and your
t
o
b
t
t_{o b t}
t
o
b
t
​
is 5.72, which is statistically significant.What is the most appropriate conclusion?
Question 26
Multiple Choice
A Cohen's d value of .5 would be viewed as indicative of a effect.
Question 27
Multiple Choice
In order to find the t-obtained for an independent t-test, which step is not required?
Question 28
Short Answer
If
S
D
2
S_{D}^{2}
S
D
2
​
∑
D
\sum D
∑
D
= 20, N = 10, and = 4, what is
t
o
b
t
t_{o b t}
t
o
b
t
​
when
H
0
:
μ
D
=
0
H_{0}: \mu_{D}=0
H
0
​
:
μ
D
​
=
0
and
H
a
:
μ
D
â‰
0
H_{a}: \mu_{D} \neq 0
H
a
​
:
μ
D
​
î€
=
0
?
Question 29
Essay
State the null hypothesis for a two-tailed independent samples experiment.
Question 30
Short Answer
What are the degrees of freedom for an independent-samples t-test using one sample with n = 13 and one sample with n = 15?
Question 31
Essay
If a researcher predicts the experimental treatment will produce an increase in an independent-samples t-test
X
ˉ
2
\bar{X}_{2}
X
ˉ
2
​
(
X
ˉ
1
−
X
ˉ
2
<
0
)
\left(\bar{X}_{1}-\bar{X}_{2}<0\right)
(
X
ˉ
1
​
−
X
ˉ
2
​
<
0
)
, how will the alternative hypothesis be stated?
Question 32
Short Answer
You have stated your alternative hypothesis as
S
X
ˉ
1
−
X
ˉ
2
S \bar{X}_{1}-\bar{X}_{2}
S
X
ˉ
1
​
−
X
ˉ
2
​
H
a
:
μ
1
−
μ
2
â‰
0
H_{a}: \mu_{1}-\mu_{2} \neq 0
H
a
​
:
μ
1
​
−
μ
2
​
î€
=
0
.If
X
ˉ
1
\bar{X}_{1}
X
ˉ
1
​
= 23,
X
ˉ
2
\bar{X}_{2}
X
ˉ
2
​
= 25,
n
1
n_{1}
n
1
​
= 15,
n
2
n_{2}
n
2
​
= 15, and = 0.90, what is
t
o
b
t
t_{o b t}
t
o
b
t
​
?
Question 33
Multiple Choice
Suppose a researcher assessed attitudes towards a certain brand of soda before and after conducting a taste test and noted the following results:
 PreÂ
 PostÂ
5
7
4
9
3
4
5
10
4
4
5
4
\begin{array}{ll}\text { Pre } & \text { Post } \\5 & 7 \\4 & 9 \\3 & 4 \\5 & 10 \\4 & 4 \\5 & 4\end{array}
 PreÂ
5
4
3
5
4
5
​
 PostÂ
7
9
4
10
4
4
​
What is the mean difference?
Question 34
Short Answer
If = 20,
∑
D
\sum D
∑
D
∑
D
2
\sum D^{2}
∑
D
2
= 220, and N = 10, what is
S
D
ˉ
S \bar{D}
S
D
ˉ
?
Question 35
Multiple Choice
Suppose a researcher compares 50 pairs of husbands and wives on a variety of attitudes.In doing so, the researcher is making use of _________________ samples with a ______________________ design.