Project 7 Math 102 Project 7 Math 102 Project 7 Round off answers to two decimal places. 50 Questions 1-19. Refer to the data below. Notice there are 50 people given with some being males and others being female. Next to each person is listed the highest level of education that the person completed. Determine if there is a significant relationship between the gender of the person and his/her education level. Use α = 5% Find the Observed values from the data, the expected values, Null hypothesis, Alternate hypothesis, degrees of freedom, alpha, critical chi square, computed chi square and decision (Reject Ho or Fail to Reject Ho) (Refer to the answer sheet – Answers 1-19) Person # Gender Education Person # Gender Education 1 Male 4 year 26 Female HS 2 Male 4 year 27 Male HS 3 Female 4 year 28 Female HS 4 Female 4 year 29 Female HS 5 Female 4 year 30 Male HS 6 Male 4 year 31 Female HS 7 Female 4 year 32 Female HS 8 Male 4 year 33 Female HS 9 Female 4 year 34 Male HS 10 Female 4 year 35 Female HS 11 Female 2 year 36 Female HS 12 Male 2 year 37 Male HS 13 Female 2 year 38 Male HS 14 Male 2 year 39 Female HS 15 Female 2 year 40 Female HS 16 Male 2 year 41 Female HS 17 Female 2 year 42 Male HS 18 Male 2 year 43 Female HS 19 Female 2 year 44 Female HS 20 Male 2 year 45 Female HS 21 Female 2 year 46 Male HS 22 Female 2 year 47 Male HS 23 Female 2 year 48 Female HS 24 Female 2 year 49 Male HS 25 Female 2 year 50 Female HS 20 - 26 . In an experiment designed to compare the effectiveness of different brands of pain relievers, a group of 320 individuals who complained of chronic pain were randomly assigned to three daily treatments: three tablets of Brand A, three tablets of Brand B or three placebos. After taking the treatments, each subject was questioned, to determine the effectiveness of their treatment. Their responses are classified in the table below. Based upon these sample results can one conclude that drug treatment and relief from pain are independent at a significance level of 1%. Find the expected values, Null hypothesis, Alternate hypothesis, degrees of freedom, alpha, critical chi square, computed chi square and decision (Reject Ho or Fail to Reject Ho) Even though you have to calculate Expected values you do not show them for this example 2, on the answer sheet. (Refer to answer sheet – Answers 20 -26) RESULTS BRAND A BRAND B PLACEBO TOTALS Total Relief 25 31 20 76 Some Relief 27 36 31 94 No Relief 47 58 45 150 Totals 99 125 96 320 27-32 Matthew, a medical researcher, wants to determine if a positive linear relationship exists between the numbers of pounds a male is overweight and his blood pressure. He randomly selects a sample of 10 males and records the number of pounds that the in ...

1. Project 7 Math 102
Project 7 Math 102
Project 7 Round off answers to two decimal places. 50
Questions
1-19.
Refer to the data below. Notice there are 50 people given with
some being males and others being female. Next to each person
is listed the highest level of education that the person
completed. Determine if there is a significant relationship
between the gender of the person and his/her education level.
Use α = 5%
Find the Observed values from the data, the expected values,
Null hypothesis, Alternate hypothesis, degrees of freedom,
alpha, critical chi square, computed chi square and decision
(Reject Ho or Fail to Reject Ho)
(Refer to the answer sheet – Answers 1-19)
Person #
Gender
Education
Person #
Gender
Education
1
Male
4 year
26

2. Female
HS
2
Male
4 year
27
Male
HS
3
Female
4 year
28
Female
HS
4
Female
4 year
29
Female
HS
5
Female
4 year
30
Male
HS
6
Male
4 year
31
Female

3. HS
7
Female
4 year
32
Female
HS
8
Male
4 year
33
Female
HS
9
Female
4 year
34
Male
HS
10
Female
4 year
35
Female
HS
11
Female
2 year
36
Female
HS

4. 12
Male
2 year
37
Male
HS
13
Female
2 year
38
Male
HS
14
Male
2 year
39
Female
HS
15
Female
2 year
40
Female
HS
16
Male
2 year
41
Female
HS
17

5. Female
2 year
42
Male
HS
18
Male
2 year
43
Female
HS
19
Female
2 year
44
Female
HS
20
Male
2 year
45
Female
HS
21
Female
2 year
46
Male
HS
22
Female

6. 2 year
47
Male
HS
23
Female
2 year
48
Female
HS
24
Female
2 year
49
Male
HS
25
Female
2 year
50
Female
HS

7. 20 - 26
. In an experiment designed to compare the effectiveness of
different brands of pain relievers, a group of 320 individuals
who complained of chronic pain were randomly assigned to
three daily treatments: three tablets of Brand A, three tablets of
Brand B or three placebos.
After taking the treatments, each subject was questioned, to
determine the effectiveness of their treatment. Their responses
are classified in the table below.
Based upon these sample results can one conclude that drug
treatment and relief from pain are independent at a significance
level of 1%.
Find the expected values, Null hypothesis, Alternate
hypothesis, degrees of freedom, alpha, critical chi square,
computed chi square and decision (Reject Ho or Fail to Reject
Ho)
Even though you have to calculate Expected values you do not
show them for this example 2, on the answer sheet.
(Refer to answer sheet – Answers 20 -26)
RESULTS
BRAND A
BRAND B
PLACEBO
TOTALS
Total Relief
25
31

8. 20
76
Some Relief
27
36
31
94
No Relief
47
58
45
150
Totals
99
125
96
320
27-32
Matthew, a medical researcher, wants to determine if a positive
linear relationship exists between the numbers of pounds a male
is overweight and his blood pressure. He randomly selects a
sample of 10 males and records the number of pounds that the
individuals are over his “ideal” weight according to a medical
weight chart and his systolic blood pressure. Mathew’s sample
data is listed in the table below.
27
Find the correlation between number of pounds over ideal
weight and blood pressure.
28

9. Find the value of a in the formula y = a+bx
29
Find the value of b in the formula y = a+bx
30
Make a prediction for blood pressure(y) for the weight(x) given
on the answer sheet.
31
Find the value of coefficient of determination
32
What percent of the variance in the blood pressure is accounted
for by the variance in pounds over ideal weight?
Data
Male Subject
Pounds Overweight(x)
Blood Pressure(y)
1
12
150
2
8
142
3
20
165
4
17
152
5
14
147
6
23
158

10. 7
6
135
8
4
128
9
15
135
10
19
153
33 - 38
Craig, a marketing executive for a brewery company, wants to
determine if there is a positive linear relationship between
advertising expenditures and sales for their new lite beer
product, Less Ale. He randomly samples 7 sales regions and
records the sample data in the following table, where the x
variable represents the advertising expenditure in thousands of
dollars and the y variable represents the beer sales in million
dollars.
33
Find the correlation between advertising expenditures (x) and
sales(y).
34
Find the value of a in the formula y = a+bx
35
Find the value of b in the formula y = a+bx
36

11. Make a prediction for sales(y) for the advertising
expenditures(x) given on the answer sheet.
37
Find the value of coefficient of determination
38
What percent of the variance in the sales is accounted for by
the variance in advertising expenditures?
Data
Region #
Expenditure(x)
Sales(y)
1
32
38
2
43
35
3
63
42
4
92
50
5
57
40
6
23
35
7
84
41

12. 39 - 44
I.M.Smart, a statistics nerd, wants to investigate if there is a
positive relationship between the number of hours a student
studies for a statistics exam and the student’s test grade. He
randomly samples 12 students that are taking statistics at a
community college and records the sample data in the following
data.
39
Find the correlation between advertising expenditures (x) and
sales(y).
40
Find the value of a in the formula y = a+bx
41
Find the value of b in the formula y = a+bx
42
Make a prediction for Test Grade(y) for the Studying Hours(x)
given on the answer sheet.
43
Find the value of coefficient of determination
44
What percent of the variance in the Test Grades is accounted
for by the variance in Studying Hours?
Student #
Studying Hours
Test Grade
1
10
80
2
8
60
3

13. 12
78
4
20
90
5
7
65
6
4
60
7
9
70
8
15
85
9
11
75
10
6
70
11
2
45
12
1
50
45-50
Unrelated questions.

14. 45
Does the scatter diagram display a relationship between the two
variables and if so, is it positive or negative
a) positive b) negative c) none
46
Does the scatter diagram display a relationship between the two
variables and if so, is it positive or negative
a) positive b) negative c) none
47
If a scattergram displays data points that approach a line that
rises as your eyes move left to right, the correlation will be
closer to which value?
a)+1 b) -1 c) 0 d) can not determine
48
Which of the following correlations represents the least amount
of relationship between two variables?
a)-1 b) -.78 c) 0.15 d) 0.0

15. 49
In Chi Square, if the conclusion is that the classifications are
independent then the Calculated Pearson’s chi- square test
statistics is greater the Table critical chi square.
a)True b) Sometimes true c) False d) Can not determine
50
The shape of the chi square distribution is similar to the shape
of the t-distribution.
a)True b) Sometimes true c) False d) Can not determine
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