Project 7 Math 102 Page1of5 Project 7Round off answers to two decimal places. 50 Questions 1-19.Refe

Project 7 Math 102
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Project 7Round off answers to two decimal places. 50 Questions
1-19.Refer to the data below. Notice there are50 peoplegiven 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. Usea= 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 EducationPerson #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
Project 7 Math 102
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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)
27-32Matthew, a medical researcher, wants to determine if apositivelinear
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.
27Find the correlation between number of pounds over ideal weight and blood
pressure.
28Find the value of a in the formula y = a+bx
29Find the value of b in the formula y = a+bx
30Make a prediction for blood pressure(y) for the weight(x) given on the answer
sheet.
31Find 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?
RESULTS BRAND A BRAND B PLACEBOTOTALS
Total Relief25 31 20 76
Some Relief27 36 31 94
No Relief47 58 45 150
Totals99 125 96 320
Project 7 Math 102
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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
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 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
Project 7 Math 102
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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 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
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45-50Unrelated questions.
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
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