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2. [-15 Points) DETAILS PODSTAT6 13.1.004.MI.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A paper suggests that the simple linear regression model is reasonable for describing the relationship between y = eggshell thickness (in micrometers, um) and x = egg length (mm) for quail eggs. Suppose that the population regression line is y = 0.185 +0.007x and that o = 0.005. Then, for a fixed x value, y has a normal distribution with mean 0.185 +0.007x and standard deviation 0.005. in USE SALT (a) What is the mean eggshell thickness for quail eggs that are 15 mm in length? Um What is the mean eggshell thickness for quail eggs that are 17 mm in length? Um (b) What is the probability that a quail egg with a length of 15 mm will have a shell thickness that is greater than 0.29 pm? (c) Approximately what proportion of quail eggs of length 14 mm have a shell thickness of greater than 0.28? (Hint: The distribution of y at a fixed x is approximately normal. Round your answer to four decimal places.) Approximately what proportion of quail eggs of length 14 mm have a shell thickness of less than 0.285? (Round your answer to four decimal places.) Need Help? Read it Master it