Refer to the data below. Notice there are 50 people given with some being males and others being female

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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 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	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
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

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

45-50	Unrelated 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

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