Instructions: You must write the answers using your OWN words. Do not copy another students work...

  

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Instructions: You must write the answers using your OWN words. Do not copy another students work or let another student copy yours, or you will BOTH receive 0 on the entire assignment. This is meant you be YOUR work. You may consult your book, notes, online materials,... You may also use calculators, or computers to compute values as appropriate, but I still want to see HOW you arrived at your answer. That means you need to document your use on this paper (write which program, what you entered, etc... so I can duplicate the work). NEATNESS COUNTS. If I can't read it I cannot grade it. Submit the document as a single file. 1) The data below shows the scores a sample of husbands and their wives received when given a happiness test to determine their happiness in the relationship. (10 points) 1 Couple Husband 50 Wives 2 65 55 60 3 72 5 6 7 8 9 10 45 98 77 85 50 82 60 25 80 80 70 80 70 50 Run a Hypothesis test to determine if there IS linear correlation in the population of all husbands and wives at the 5% significance level: You may use any appropriate hypothesis test method. 4 18 State Hypothesis (in symbols): Null: Alternate: Test Statistic: Critical value(s): Initial conclusion: Formal Conclusion: Find the regression line (even if there isn't correlation in the population) Write the meaning of the slope of the regression line: Find the best predicted score a wife would have, if her husband scored 50: 2) The data below is the heart rate, in beats per minute, from 18 individuals after two minutes of exercise on a treadmill. (20 points) 78 87 88 89 90 95 96 97 98 102 104 105 107 108 112 120 132 142 a. Explore this data by producing a graph. You may choose any graph that is appropriate for this type of data, and allows you to describe the shape, NEATLY! You may also use a computer to make an appropriate graph. Staple the graph to the back. (You may use technology to create the graph or draw neatly by hand). b. Briefly describe the shape of the distribution. You must use statistical language in your description. C. The average heart rate for all adults is 72 beats per minute. Does this sample suggest that two minutes of exercise on a treadmill significantly increases the average heart rate? Perform a hypothesis test to answer this question. State appropriate hypotheses in symbols Null: Alternate: (this question is continued on the next page...) Find the Critical Value(s) Find the Test Statistic Find the p-value: Initial Conclusion: Justification for initial conclusion using the critical value method: Justification for initial conclusion using the p-value method: State your conclusion clearly in complete sentences that reflect the context of this scenario. d. Your friend is a manager of a local gym. He is interested in including the results. of this study in an upcoming newsletter but seeks your advice first. Comment on any concerns you may have about drawing conclusions from this study. (Note: You SHOULD have concerns-in fact there are at least TWO major concerns.) If you have concerns, what would you recommend as ways to address your concerns if the study was redone? BE SURE TO USE APPROPRIATE STATISTICAL LANGUAGE 3) You want to see if the proportion of female college students who are majoring in the sciences is statistically different then the proportion of male college students who are majoring in the sciences. You take a sample of 50 female college students and find that 18 of them are majoring in the sciences. You take a sample of 60 male college students, and find that 55% of them are majoring in the sciences. At the 5% significance level, is there sufficient evidence that there is a difference in the proportion of female and male college students who are majoring in the sciences: (10 points) Population 1: Population 2: Data: Write the null and alternate hypothesis in symbols: Null: Alternate: Critical Value(S): Test Statistic: p-value: 11 initial conclusion: reason: Formal conclusion: Instructions: You must write the answers using your OWN words. Do not copy another students work or let another student copy yours, or you will BOTH receive 0 on the entire assignment. This is meant you be YOUR work. You may consult your book, notes, online materials,... You may also use calculators, or computers to compute values as appropriate, but I still want to see HOW you arrived at your answer. That means you need to document your use on this paper (write which program, what you entered, etc... so I can duplicate the work). NEATNESS COUNTS. If I can't read it I cannot grade it. Submit the document as a single file. 1) The data below shows the scores a sample of husbands and their wives received when given a happiness test to determine their happiness in the relationship. (10 points) 1 Couple Husband 50 Wives 2 65 55 60 3 72 5 6 7 8 9 10 45 98 77 85 50 82 60 25 80 80 70 80 70 50 Run a Hypothesis test to determine if there IS linear correlation in the population of all husbands and wives at the 5% significance level: You may use any appropriate hypothesis test method. 4 18 State Hypothesis (in symbols): Null: Alternate: Test Statistic: Critical value(s): Initial conclusion: Formal Conclusion: Find the regression line (even if there isn't correlation in the population) Write the meaning of the slope of the regression line: Find the best predicted score a wife would have, if her husband scored 50: 2) The data below is the heart rate, in beats per minute, from 18 individuals after two minutes of exercise on a treadmill. (20 points) 78 87 88 89 90 95 96 97 98 102 104 105 107 108 112 120 132 142 a. Explore this data by producing a graph. You may choose any graph that is appropriate for this type of data, and allows you to describe the shape, NEATLY! You may also use a computer to make an appropriate graph. Staple the graph to the back. (You may use technology to create the graph or draw neatly by hand). b. Briefly describe the shape of the distribution. You must use statistical language in your description. C. The average heart rate for all adults is 72 beats per minute. Does this sample suggest that two minutes of exercise on a treadmill significantly increases the average heart rate? Perform a hypothesis test to answer this question. State appropriate hypotheses in symbols Null: Alternate: (this question is continued on the next page...) Find the Critical Value(s) Find the Test Statistic Find the p-value: Initial Conclusion: Justification for initial conclusion using the critical value method: Justification for initial conclusion using the p-value method: State your conclusion clearly in complete sentences that reflect the context of this scenario. d. Your friend is a manager of a local gym. He is interested in including the results. of this study in an upcoming newsletter but seeks your advice first. Comment on any concerns you may have about drawing conclusions from this study. (Note: You SHOULD have concerns-in fact there are at least TWO major concerns.) If you have concerns, what would you recommend as ways to address your concerns if the study was redone? BE SURE TO USE APPROPRIATE STATISTICAL LANGUAGE 3) You want to see if the proportion of female college students who are majoring in the sciences is statistically different then the proportion of male college students who are majoring in the sciences. You take a sample of 50 female college students and find that 18 of them are majoring in the sciences. You take a sample of 60 male college students, and find that 55% of them are majoring in the sciences. At the 5% significance level, is there sufficient evidence that there is a difference in the proportion of female and male college students who are majoring in the sciences: (10 points) Population 1: Population 2: Data: Write the null and alternate hypothesis in symbols: Null: Alternate: Critical Value(S): Test Statistic: p-value: 11 initial conclusion: reason: Formal conclusion:

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Step 1 Find XY X and Y2 as it was done in the table bel... View the full answer