The document contains 15 multiple choice questions related to analysis of variance (ANOVA). The questions cover topics such as degrees of freedom for different ANOVA designs, calculating sums of squares, mean squares, and F-ratios. They also ask about critical values and interpreting ANOVA results tables.
1. fj What value of the constant c will make the following lim.docx
1. 1. fj What value of the constant c will make the following limit
exist?
[(
2X + [x I) ]M~ x (x2 + C - 2)
following statements are true and give an explanation to justify
your answer.
1
-6 -5 -4 -3 -2 -1 o 1 2 3 4 5 6
-1
(a). limx-->_2 f(x) = 1
(b).f( -2) = f(2)
-(
(c). y = 3 is a horizontal asymptote of [,
(d).f'(l) = 4
(e). [is not differentiable at three values ofx.
(f). limX-.l [(x) = [(1)
(g). f' (-3) + f' (2.5) = 0
2. 3. 4••• ~Find :~ for the following functions. Simplify your
solution if possible.
(a). y = 41n(x2 - 3x + 4)
(b). y = xtan(x)
(c). y = e21n(X)
4. ~ One bicyclist is 4 miles east of an intersection and is
traveling toward the
intersection at a rate of9 mph. At the same time, a second
bicyclist is 3 miles south of the
intersection and is traveling away from the intersection at a rate
of 10 mph. Is the distance
between the two bicyclists increasing, or is it decreasing? At
what rate is the distance changing?
5..~ -' -~ Finding an equation of the line tangent to the
following curves at the given point.
(a). y = 4x5 + cos x; X = 0
(b). xy +.JXY = 6; (x,y) = (1,4)
Question 1
An independent-measures t test produced a t statistic with df
= 20. If the same data had been evaluated with an analysis of
variance, what would be the df values for the F-ratio?
Answer
a.
1, 20
b.
3. 2, 20
c.
1, 19
d.
2, 19
Question 2
An analysis of variance comparing three treatment conditions
produces dftotal = 24. For this ANOVA, what is the value
of dfwithin?
Answer
a.
3
b.
2
c.
21
d.
22
Question 3
A researcher uses analysis of variance to test for mean
differences among four treatments with a sample of n = 6 in
each treatment. The F-ratio for this analysis would have
what df values?
Answer
a.
df = 3, 15
4. b.
df = 4, 24
c.
df = 3, 5
d.
df = 3, 20
Question 4
For an analysis of variance comparing four
treatments, MSbetween = 12. What is the value of SSbetween?
Answer
a.
4
b.
48
c.
36
d.
3
Question 5
An analysis of variance produces SSwithin = 40 and MSwithin
= 10. In this analysis, how many treatment conditions are being
compared?
Answer
a.
4
b.
5. 5
c.
50
d.
30
Question 6
An analysis of variance comparing three treatment conditions
produces dftotal = 24. For this ANOVA, what is the value
of dfbetween?
Answer
a.
2
b.
3
c.
22
d.
21
Question 7
An independent-measures research study compares three
treatment conditions using a sample of n = 5 in each treatment.
For this study, the three sample totals are, T1 = 5, T2 = 10, and
T3 = 15. What value would be obtained for SSbetween?
Answer
a.
15
6. b.
5
c.
1
d.
10
Question 8
An independent-measures research study compares three
treatment conditions using a sample of n = 5 in each treatment.
For this study, the three sample totals are, T1 = 5, T2 = 10,
T3 = 15, and 2 = 75 for the entire set of scores. What value
would be obtained for SStotal?
Answer
a.
15
b.
5
c.
10
d.
1
Question 9
The following table shows the results of an analysis of variance.
Based on this table, what is the value for ?2, the percentage of
variance accounted for?
Source
SS
df
8. The following table shows the results of an analysis of variance
comparing two treatment conditions with a sample of n = 11
participants in each treatment. Note that several values are
missing in the table. What is the missing value for the F-ratio?
Source
SS
df
MS
Between
xx
xx
14
F = xx
Within
xx
xx
xx
Total
154
xx
Answer
a.
28
b.
9. 2
c.
7
d.
14
Question 11
An analysis of variances produce SSbetween = 20, SSwithin =
30, and an F-ratio with df = 2, 15. For this analysis, what is the
F-ratio?
Answer
a.
30/20 = 1.50
b.
20/30 = 0.67
c.
10/2 = 5.00
d.
2/10 = 0.20
Question 12
An experiment compares three treatment conditions with a
separate sample of n = 10 in each treatment. If the data are
analyzed with ANOVA, the analysis would have dftotal =
_____.
Answer
a.
29
10. b.
28
c.
27
d.
30
Question 13
An independent-measures research study compares three
treatment conditions using a sample of n = 10 in each treatment.
For this study, the three samples have SS1= 10, SS2 = 20,
and SS3 = 15. What value would be obtained for MSwithin?
Answer
a.
45/27
b.
45/3
c.
45/29
d.
45/30
Question 14
For an F-ratio with df = 2, 10, the critical value for a hypothesis
test using a = .05 would be _____.
Answer
a.
99.40
11. b.
4.10
c.
19.39
d.
7.56
Question 15
The following table shows the results of an analysis of variance
comparing three treatment conditions with a sample of n = 10
participants in each treatment. Note that several values are
missing in the table. What is the missing value for SStotal?
Source
SS
df
MS
Between
20
xx
xx
F = xx
Within
xx
xx
2
Total
xx
xx
![1. fj What value of the constant c will make the following limit
exist?
[(
2X + [x I) ]M~ x (x2 + C - 2)
following statements are true and give an explanation to justify
your answer.
1
-6 -5 -4 -3 -2 -1 o 1 2 3 4 5 6
-1
(a). limx-->_2 f(x) = 1
(b).f( -2) = f(2)
-(
(c). y = 3 is a horizontal asymptote of [,
(d).f'(l) = 4
(e). [is not differentiable at three values ofx.
(f). limX-.l [(x) = [(1)
(g). f' (-3) + f' (2.5) = 0](https://image.slidesharecdn.com/1-221106023150-a86d0a66/85/1-fj-What-value-of-the-constant-c-will-make-the-following-lim-docx-1-320.jpg)
