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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.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) Couple 1 2 3 4 5 6 7 8 9 10 Husband|50 65 72 18 45 98 77 85 50 82 Wives 60 55 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. 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 13 individuals after two minutes of exercise on a treadmill. [20' points} 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. Briey describe the shape of the distribution. You must use statistical language in your description. c. The average heart rate for all adults is T2 beats per minute. Does this sample suggest that two minutes of exercise on a treadmill signicantly increases the average heart rate? Perform a hypothesis test to answer this question. State appropriate hypotheses in symbols. Null: Altemete: (this question Is continued on the next page ml 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: initial conclusion: reason: Formal conclusion
