Question

**Q07. An ANOVA examining three different blanching
processes to determine which is best in terms of vitamin A
retention (mg/100mg) yields an F statistic with an associated
P-value of < .001. Therefore, at α = .05 we**

I. fail to reject the null hypothesis.

II. reject the null hypothesis.

III. conclude that mean vitamin A retention amounts are not all
equal across the different blanching processes

a) II only

b) I only

c) both II and III

d III only

e) both I and III

**Q08. Given that the sum of squares for between-groups
(SSB) for an ANOVA F-test is 9,000 and there are four
total groups, find the mean square for between-groups
(MSB)**

a) 1,800

b) 1,500

c) 2,250

d) 3,000.

**Q09. An industrial psychologist is investigating the
effects of work environment on employee attitudes. A group of 20
recently hired sales trainees were randomly assigned to one of four
different "home rooms" - five trainees per room. Each room is
identical except for wall color. The four colors used were light
green, light blue, gray and red. The psychologist wants to know
whether room color has an effect on attitude, and, if so, wants to
compare the mean attitudes of the trainees assigned to the four
room colors. At the end of the training program, the attitude of
each trainee was measured on a 60-point scale (the lower the score,
the poorer the attitude). Give the null hypothesis**

a) The five trainees in one room have the same mean attitude score as the five in a different room

b)The four rooms with different colors have the same mean attitude score.

c) The 20 sales trainees have the same attitude score

d) The four rooms with different colors do not all have the same mean attitude score

**Q10. A certain HMO is attempting to show the benefits of
managed care to an insurance company. The HMO believes that certain
types of doctors are more cost-effective than others. One theory is
that certification level is an important factor in measuring the
cost-effectiveness of physicians. To investigate this, the HMO
obtained independent random samples of 21 physicians from each of
the three certification levels—Board certified (C); Uncertified,
board eligible (E); and Uncertified, board ineligible (I)—and
recorded the total per-member, per-month charges for each (a total
of 63 physicians). In order to compare the mean charges for the
three groups, the data will be subjected to an analysis of
variance. Give the degrees of freedom appropriate for conducting
the ANOVA F-test. [Note: numerator df = between-groups
df, denominator df = within-groups df]**

a) numerator df = 61, denominator df = 3

b)numerator df = 61, denominator df = 2

c) numerator df = 2, denominator df = 60

d) numerator df = 3, denominator df = 60

Answer #1

Q07: **c) both II and III**

Here, the p-value <0.05(Level of significance and hence the Null hypothesis is rejected).

Q08: **d) 3,000.**

Number of groups=4 and hence the df=4-1=3. Therefore MS=9000/3=3000

Q09: **b)The four rooms with different colors have the
same mean attitude score.**

In an ANOVA the Null hypothesis is

Q10: **c) numerator df = 2, denominator df =
60**

The total df=63-1=62, The groups df=3-2=2 and hence within groups=62-2=60. Therefore numerator=2 and the denominator=60)

An industrial psychologist is investigating the effects of work
environment on employee attitudes. A group of 20 recently hired
sales trainees were randomly assigned to one of four different
“home rooms” – five trainees per room. Each room is identical
except for wall color. The four colors used were green, blue, gray
and red. The psychologist wants to know whether room color has an
effect on attitude, and, if so, wants to compare the mean attitudes
of the trainees assigned...

Another type of painted ceramic vessel is called
three-circle red-on-white ( Mimbres Mogollon
Archaeology). At four different sites in an archaeological
region, the number of such sherds was counted in local dwelling
excavations.
Site I
Site II
Site III
Site IV
19
12
38
15
27
5
20
17
7
35
16
12
19
3
44
35
17
22
15
17
13
Shall we reject or not reject the claim that there is no
difference in the population mean three-circle...

Another type of painted ceramic vessel is called
three-circle red-on-white ( Mimbres Mogollon
Archaeology). At four different sites in an archaeological
region, the number of such sherds was counted in local dwelling
excavations.
Site I
Site II
Site III
Site IV
19
15
38
13
22
8
15
17
5
30
10
16
22
8
47
37
10
24
19
12
18
Shall we reject or not reject the claim that there is no
difference in the population mean three-circle...

Another type of painted ceramic vessel is called
three-circle red-on-white ( Mimbres Mogollon
Archaeology). At four different sites in the Wind Mountain
archaeological region, the number of such sherds was counted in
local dwelling excavations.
Site I
Site II
Site III
Site IV
14
17
39
10
29
3
17
22
4
35
12
15
20
6
49
31
11
24
13
18
17
Shall we reject or not reject the claim that there is no
difference in the population...

Another type of painted ceramic vessel is called three-circle
red-on-white ( Mimbres Mogollon Archaeology). At four different
sites in an archaeological region, the number of such sherds was
counted in local dwelling excavations. Site I Site II Site III Site
IV 15 12 33 11 29 5 23 19 7 33 14 10 22 2 47 38 16 27 15 13 16
Shall we reject or not reject the claim that there is no difference
in the population mean three-circle...

Another type of painted ceramic vessel is called
three-circle red-on-white ( Mimbres Mogollon
Archaeology). At four different sites in an archaeological
region, the number of such sherds was counted in local dwelling
excavations.
Site I
Site II
Site III
Site IV
18
11
37
17
28
4
19
23
9
35
11
17
22
3
45
36
10
29
19
11
11
Shall we reject or not reject the claim that there is no
difference in the population mean three-circle...

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