Need Help Badly!!

11.1. While a t test is used t
o compare two means, the one-way ANOVA can be used to simultaneously
compare ____ groups. 

11.2. An ANOV A is considered to be an extension of the t test for independent samples because both investigate differences between _____
_.

 

11.3. By conducting a one-way ANOVA test to compare multiple (more t
han 2) group means simultaneously instead of conducting a series of 
t tests 
to compare these means, the potential level of ____ is reduced. 

11.4. In order to apply the ANOV A test, the data should be measured on a(n) 

_____ or ______
scale . 

•

11.5. The one-way ANOV A is used when there i
s/are ____independent 
variable(s). 

11.6. With 3 groups, the null hypothesis (Ho) in ANOVA is: __________.

11.7. The total (or grand) mean in ANOV A can be thought of as the mean of ____.

11.8. The SSw (within-groups 
sum of squares) and the SSg (between-groups 

sum of squares) are equal to thesum of squares. 

11.9. To find the MSg, we divide the SSg by _________. 

11.10. To compute the F ratio, we divide the ______ mean square by t
he 

_________ 
mean square. 

11.11. Factorial ANOVA is commonly used when there are at least ______ independent variables. 

 

Circle the correct
 answer: 

11.12. The following is an example of a(n) null/alternative
 hypothesis i
n ANOVA: 

Mean one does not equal mean 2 and/or mean one does not equal mean 2 and/or mean 2 does not equal mean 3

11.13. Post hoc comparisons should be conducted in cases 
where the F ratio  
is/is not 
statistically significant. 

11.14. The F ratio is likely to be s
tatistically significant wh
en the differences between 

the group means are small/large.
 . 

11.15. The F ratio is more likely to be statistically significant when it is used to 

analyze scores from groups that are homogenous/heterogeneous
in regard to the characteristic or behavior being measured.

 

11.16. An ANOVA procedure is used to analyze data from a study comparing scores of three
 groups. Following are the obtained mean squares and the appropriate critical 
values for the F ratio at p=.05 and p=.01 

Fcrit(.05,2,20) = 3.49 and Fcrit(.O1,2,20) = 5.85 

 

Compute the obtained F ratio. 

Determine whet
her the resu
lts are statistically significant.  

Report your conclusions. 

   

11.17. Three different age groups of consumers (ages 18-25, 26-35, 36-45) in two 
different regions of the country (Midwest,South) were surveyed about the
ir likelihood of buying a new product. Following are the means and standard 
deviation
s obtained by the three ag
e groups in each of the two regions: 

 

  

 

 

Ages Ages Ages Ages Ages 

18-25 26-35 36-45 

2.7 

2.8 

	Means		Standard Deviations
					Ages
Region		18-25		26-35		36-45
Midwest	50.2	5	2.8	53.3	2.5	3.1		2.7
South	41.0	48.5	55.9		3.2

   

Two separate

 one-way ANOVA procedures are conducted to test whether the 

differences between the three means of the three age groups in each of the two 
regions are statistically significant. Estimate which F ratio would be larger: The
one resulting from analyzing the survey re
sults obtained from the three age groups in the Midwest or the one from analyzing the survey results obtained by 
the three age groups in the South explain your answer. 

 

11.18. Three statistics classes at

University A

took the same test as d
id 3 other 
statistics classes at Coll
ege B
. Following are the means and standard deviations of the 3 classes in each of the two schools: 

 

  Means  Standard Deviations  

Stats Stats Stats Stats Stats 

 

Class I Class 2 Class 3 

University A

3.2 

9.3 

SCHOOL						Stats
	Class I		Class 2		Class 3
71.4	78.8	90.2	4.3	4.8
College B	72.1	78.6	8	9.3	6.6	8.7

Two separate one-way ANOVA procedures are used to tes
t whether the differences between the means in each of the two schools are statistically 
significant. Estimate which F ratio would be larger: the one resulting from 
analyzing the test scores obtained by the three groups at University A or the one 
resulting from analyzing the test scores of the three groups at College B. Explain your answer. 

11.19. Each of the two figures below (Figure A and Figure B) depicts a set of 3 
distributions. Two separate one-way AN OVA analyses are performed to test whether there are statistically significant differences between the three means in 
each set and two F ratios are computed. Estimate which of the two F ratios is 
likely to be higher and explain your answer. 

    

11.20. In a study comparing means of 4 groups, the F ratio was significant at the p<.05 level. The 4 means are Mean 1=13.12; Mean 2=9.31; Mean 3=13.65; and Mean 
4=11.34. Tukey’s post hoc comparison is used to test which means statisticallydiffer from each other. The obtained HSD value at the p=.05 level is 3.74. Which means are statistically significantly different from each other? Explain. 

11.21. A pilot-test marketing research study comparing two new models of widgets was conducted in two companies (Company A and Company B). In each of the two companies, one manufacturing plant used one new widget and the other plant used the other new widget. At the end of the year, the employees using the new widgets in their jobs completed a questionnaire assessing their satisfaction with the widgets. Following is a table listing the mean scores of the two plants questionnaire scores for each of the two companies (those that used new widget 1 and those that used new widget 2). Study the data in the table. (Note: Do not attempt to compute the F ratios or the exact level of significance in order to answer the questions below.) 

 

 

Means of 

Employees Using 

	Means of
Company		Employees Using
Widget 1	Widget 2
Company A	55	53
Company B	50	48

 

1. a.Are there differences in questionnaire scores as a result of the using the two widgets? Explain. 
2. b.Are there differences in questionnaire scores between the two companies? 

                 Explain.