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##### Math 102 Project 7

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Question;Project 7 Math 102;Page1of5;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;Page2of5;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;Page3of5;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;Page4of5;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;Project 7 Math 102;Page5of5;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

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