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Hours of studying based on Scores for the exam a.) Find the slope m = b.) Find the yintercept b = c.) Write the equation of the line d.) Determine the correlation constant r = Based on this value do you have confidence in your equation above? e.) What score would you expect if you studied for 3 hours, 6.5 hours, or 4.5 hours? f.) How long would you have to study to ensure a grade of 85? 3.) Now find the residual vs. x graph. Show the residuals from the chart first. h.) Find the mean and standard deviation for the sample scores above. i.) Construct a 95% confidence interval estimate around the mean scores. Assume the population data to be normal. j.) Construct a 90% confidence interval estimate around the variance and standard deviation. Definitely show the chi squares that come from the table and the formula's. k.) The standard deviation and mean are from samples but for this problem and the next treat them as if they are population parameters for a normally distributed population, and find the probability of getting a score that is 80 and above. j.) Now find a 95% confidence interval estimate around the mean, with the idea that this is a population parameter for a normally distributed population. 2.) The Math SAT scores for women are normally distributed with a mean of 496 and a standard deviation of 108. a.) If a women who takes the math portion of the SAT is randomly selected, find the probability that her score is above 500. b.) If a women who takes the math portion of the SAT is randomly selected, find the probability that her score would be between 490 and 500. c.) If five math SAT scores are randomly selected from the population of women who take the test find the probability that that all five of the scores are above 500. d.) If five women who take the math portion of the SAT are randomly selected, find the probability that their mean is above 500. e.) Find P90 3.) Given the following information. 11 = 4500,96 = 2925 a.) Construct a 80% confidence interval around the population proportion. b.) Construct a 90% confidence interval around the population proportion. c.) Construct a 92% confidence interval around the population proportion. Be sure to include how the zscore was determined