Word Problems: t-Test #4
#4
The newspapers have made your depression/sugar studies famous, but you are interested in exploring it further. You randomly assign patients to two treatment groups, and neither you nor they know whether they are receiving sugar-water or plain water intravenously. Consider the following data (how depressed they are):
Sugar NoSugar
9 3
7 7
6 4
16 5
4 6
8 7
14 3
8 3
What is the median for Sugar:
What is the mean for Sugar:
What is the SS for Sugar:
What is the mode for NoSugar:
What is the SS for NoSugar:
Since you are interested in which group did best, which of the following tests should you perform:
a. t-test
b. ANOVA
c. correlation
d. regression
e. multiple regression
Perform the comparison you selected in the item above. Select only the appropriate one(s). What was the result of your calculation?
a =
b =
r =
t =
F =
What is the critical value for t (.05 alpha level, two-tailed):
Is there a significant difference between subjects treated with sugar and those not given sugar:
NOW YOU CHOOSE:
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Word Prolbems: 1-Way ANOVA #9
You work for a bottled-water company which is concerned with the quality of its flavored product. The numbers below are the number of complaints received in a 1-hour period.
Lemon Lime Orange Root Beer
12 1 18 1
13 4 9 2
11 5 12 1
14 3 7 9
Since you are interested in which flavor did best, which of the following tests should you perform:
a. t-test
b. ANOVA
c. correlation
d. regression
e. multiple regression
What is the independent variable in this design:
What is the dependent variables in this design:
Based on above data, complete the following summary table:
SS df ms
Between ____ ___ ____
Within ____ ___ ____
Total ____ ___ ____
F =
What is the critical value for F =
Is F significant?
What should be done next?
NOW YOU CHOOSE
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Word Problems: 1-Way ANOVA #8
Several samples of each flavor of ice tea are taken. Which flavor tastes the best (number of complaints):
Peach Strawberry Berry
4 3 20
7 3 19
6 7 8
2 4 11
2 1 10
Since you are interested in which soft drink did best/worst, which of the following tests should you perform:
a. t-test
b. ANOVA
c. correlation
d. regression
e. multiple regression
What is(are) the independent variable(s) in this design:
What is the dependent variable in this design:
Based on above data, complete the following summary table:
SS df ms
Between
Within
TOTAL
What is the F for this test?
What is the critical value for F?
Is the F significant?
What should be done next?
NOW YOU CHOOSE
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Word Problems: 1-Way ANOVA #7
Several samples are taken of each flavor of cough syrup. Which flavor tastes the best (number of complaints):
Peach Cherry Melon Lemonade
4 2 4 1
3 1 8 8
7 7 7 3
5 6 3 9
2 2 7 12
Since you are interested in which flavor did best, which of the following tests should you perform:
a. t-test
b. ANOVA
c. correlation
d. regression
e. multiple regression
What is the independent variable in this design:
What is the dependent variables in this design:
Based on above data, complete the following summary table:
SS df ms
Between ____ ___ ____
Within ____ ___ ____
Total ____ ___ ____
F =
What is the critical value for F =
Is F significant?
What should be done next?
NOW YOU CHOOSE
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Word Problems: 1-Way ANOVA #6
Several samples of each flavor of ice cream are taken. Which flavor tastes the best (number of complaints):
Tea Vegetable Strawberry
2 5 22
3 5 17
1 1 6
1 2 15
4 3 12
Since you are interested in which soft drink did best/worst, which of the following tests should you perform:
a. t-test
b. ANOVA
c. correlation
d. regression
e. multiple regression
What is(are) the independent variable(s) in this design:
What is the dependent variable in this design:
Based on above data, complete the following summary table:
SS df ms
Between ____ ____ ____
Within ____ ____ ____
TOTAL ____ ____ ____
What is the F for this test?
What is the critical value for F?
Is the F significant?
What should be done next?
NOW YOU CHOOSE
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Word Problems: 1-Way ANOVA #5
You work for a pharmaceutical company which is testing a cure for the common cold. Each group is composed of independent groups, randomly assigned to treatment by you. The four groups differ in the number of days they have taken the drug. The numbers below are the number of sniffles in a six-month period.
0 Days 1 Day 4 Days 6 Days
4 16 12 6
2 4 4 12
3 11 12 9
4 9 11 15
2 3 7 14
Since you are interested in which soft drink did best, which of the following tests should you perform:
a. t-test
b. ANOVA
c. correlation
d. regression
e. multiple regression
What is the independent variable in this design:
What is the dependent variables in this design:
Based on above data, complete the following summary table:
SS df ms
Between ____ ____ ____
Within ____ ____ ____
TOTAL ____ ____ ____
What is the F for this test?
What is the critical value for F?
Is the F significant?
What should be done next?
NOW YOU CHOOSE
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Word Problems: 1-Way ANOVA #4
Several samples are taken of each cookie you sell at your cookie cart. Which flavor sells best (number of cookies sold in an hour):
Coffee Lemon Chocolate
3 4 11
6 1 8
11 7 7
15 4 13
12 2 12
Since you are interested in which cookie did best, which of the following tests should you perform:
a. t-test
b. ANOVA
c. correlation
d. regression
e. multiple regression
What is the independent variable in this design:
What is the dependent variables in this design:
Based on above data, complete the following summary table:
SS df ms
Between ____ ____ ____
Within ____ ____ ____
TOTAL ____ ____ ____
What is the F for this test?
What is the critical value for F?
Is the F significant?
What should be done next?
NOW YOU CHOOSE
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Word Prolbems: 1-Way ANOVA #3
You notice that the entire population of Rhode Island seems to be influenced in odd ways by what they eat. You randomly assign them to different kinds of fruit to eat and measure how many speeding tickets they get.
Consider the following data:
Apple Orange Peach Blueberry
5 8 2 24
10 2 2 21
7 3 3 18
2 12 4 5
3 7 3 7
Since you are interested in which fruit drink did best, which of the following tests should you perform:
a. t-test
b. ANOVA
c. correlation
d. regression
e. multiple regression
What is the independent variable in this design:
What is the dependent variables in this design:
Based on above data, complete the following summary table:
SS df ms
Between ____ ____ ____
Within ____ ____ ____
TOTAL ____ ____ ____
What is the F for this test: ___________
What is the critical value for this test: ___________
Is the F significant?
What should be done next?
NOW YOU CHOOSE
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Word Problems: 1-Way ANOVA #2
As sales manager for a large corporation, you wonder if one airline is significantly faster than another. You randomly assign your sales staff to the airlines, and measure the number of hours it takes to make the trip from Long Beach to LAX. Consider the following data:
KnoWay Air-Ex FlyBy Nifty
9 6 1 4
11 4 2 2
16 5 4 1
9 14 5 1
12 17 3 7
Since you are interested in which soft drink did best, which of the following tests should you perform:
a. t-test
b. ANOVA
c. correlation
d. regression
e. multiple regression
What is the independent variable in this design:
What is the dependent variables in this design:
Based on above data, complete the following summary table:
SS df ms
Between ____ ____ ____
Within ____ ____ ____
TOTAL ____ ____ ____
What is the F for this test:
What is the critical value for this test:
Is the F significant?
What should be done next?
NOW YOU CHOOSE
Day9: 1-Way ANOVA
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Word Problems: 1-Way ANOVA #1
You work for a bottled-water company which is concerned with the quality of its flavored product. The numbers below are the number of complaints received in a 1-hour period.
Lemon Lime Orange Root Beer
12 1 18 1
13 4 9 2
11 5 12 1
14 3 7 9
(This area is open so you can show your work here)
Since you are interested in which flavor did best, which of the following tests should you perform:
a. t-test
b. ANOVA
c. correlation
d. regression
e. multiple regression
What is the independent variable in this design:
What is the dependent variables in this design:
Based on above data, complete the following summary table:
SS df ms
Between ___ ___ ____
Within ____ ___ ____
Total ____ ___ ____
F =
What is the critical value for F =
Is F significant?
What should be done next?
NOW YOU CHOOSE
Day9: 1-Way ANOVA
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Quiz 9
Summary
