sample of n = 7 professionalbaseball players gave the followung Information. 0.251 0.261 0.286 0.263 0.268 0.339 0.299 1.6 3.8 5.5 3.8 3.5 7.3 5.0 (a) Make a scatter diagram of the data. r (b) Use a calculator to verify that 2x = 1.967, 2X2 = 0.558, 2y = 30.5, 2y2 = 152.23 and ny = 8.874. Compute r. (Round your answer to three decimal places.) As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer. 0 Given our value of r, we can not draw any conclusions for the behavior of y as x increases. 0 Given our value of r, y should tend to decrease as X increases. 0 Given our value of r, y should tend to remain constant as x increases. 0 Given our value of r, y should tend to increase as X increases. 7. [-/4 Points] DETAILS BBUNDERSTAT12 7.2.015.NVA MY NOTES ASK YOUR TEACHER How much do wild mountain lions weigh? Adult wild mountain lions (18 months or older) captured and released for the first time in the San Andres Mountains gave the following weights (pounds) : 106 126 123 60 64 Assume that the population of x values has an approximately normal distribution. (a) Use a calculator with mean and sample standard deviation keys to find the sample mean weight x and sample standard deviation s. (Round your answers to one decimal place.) X = Ib S = lb (b) Find a 75% confidence interval for the population average weight u of all adult mountain lions in the specified region. (Round your answers to one decimal place.) lower limit Ib upper limit lbPorphyrin is a pigment in blood protoplasm and other body uids that is significant in body energy and storage. Let X be a random variable that represents the number of milligrams of porphyrin per deciliter of blood. In healthy circles, x is approximately normally distributed with mean [4 = 38 and standard deviation a = 12. Find the following probabilities. (Round your answers to four decimal places.) (a) x is less than 60 (b) X is greater than 16 (c) x is between 16 and 60 (d) x is more than 60 (This may indicate an infection, anemia, or another type of illness.) What percentage of hospitals provide at least some charity care? Based on a random sample of hospital reports from eastern states, the following information is obtained (units in percentage of hospitals providing at least some charity care): 56.8 55.6 52.9 66.4 59.0 64.7 70.1 64.7 53.5 78.2 Assume that the population ofx values has an approximately normal distribution. (a) Use a calculator with mean and sample standard deviation keys to nd the sample mean percentage )7 and the sample standard deviation 5. (Round your answers to one decimal place.) % S % (b) Find a 90% condence interval for the population average [4 of the percentage of hospitals providing at least some charity care. (Round your answers to one decimal place.) lower limit % upper limit %
