5.1
Is this a
paired sample
or
independent samples
test?
(circle one)
Set up the appropriate test statistic for this test.
5.2
Formula for the test statistic:
? =
?
̅
𝑓
− 0
?
??
√??
⁄
5.3
Plug in and solve :
? =
−10
15
√70
⁄
= −5.58
5.4
What is the distribution of this test
statistic?
Show the reference distn, df and whether to use
or
/2
t
-distribution with df = n
f
-1 = 69
or
?(69)
&
use α
5.5
Is this is a 1 or 2 tailed test?
1-Tail
5.6
What is the critical value of the test
statistic for
? = 0.01
?
????
= ?
0.01
(69) = −2.38
5.7
What is your decision?
Reject
𝐻
0
since
? = −5.6 < −2.38 = ?
????

Practice Final
9
Test the claim that effects of the diet pills are same for males and for females.
Note that now the pre-post
weight differences for each sex are the two random variables.
5.8
State the null and alternative
hypotheses
𝐻
0
:
?
(
̅
?
)
−
?(?
̅
?
)
= 0
vs
𝐻
𝑎
: 𝐻
0
:
?
(
?
̅
?
)
−
?(?
̅
?
)
?
≠ 0

5.9
Is this test based on
paired sample
or
independent samples
?
(circle 1)
Using a pooled estimate, what is the formula for the standard error for the difference between the male and female
effects,
(
?
̅
?
− ?
̅
?
)
?
What are the degrees of freedom associated with this estimate?
√
=
√
√
.

Practice Final
10
Problem 6 Regression
Your colleagues have collected some data on the relationship between the number of steps walked per day and the BMI
(body mass index:
a summary of obesity). Your job is to analyze the data to see if there is a relationship between these
two variables.
Fill out the rest of this ANOVA table with numbers (cells to fill out are shaded)
6
41

6.7
How many observations are there in the data set?

6.8
Which test statistic do we use as a general test for model significance in this case?
(circle one)

6.10
Can you reject the null hypothesis that there is no
relationship between steps walked and BMI?