statistics
6. [-I4 Points] BBUNDERSTAT12 6.3.026.NVA ASK YOUR TEACHER Porphyrin is a pigment in blood protoplasm and other body fluids that is signicant 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 u = 40 and standard deviation a = 10. Find the following probabilities. (Round your answers to four decimal places.) (a) x is less than 60 H (b) X is greater than 16 U (c) x is between 16 and 60 H (d) X is more than 50 (This may indicate an infection, anemia, or another type of illness.) U 7. [-/4 Points] BBUNDERSTAT12 7.2.015.NVA ASK YOUR TEACHER How much do wild mountain lions weigh? Adult wild mountain lions (18 months or older) captured and released for the rst time in the San Andres Mountains gave the following weights (pounds): 69 102 132 125 60 64 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 weight )7 and sample standard deviation 5. (Round your answers to one decimal place.) lb |b (1)) Find a 75% condence interval for the population average weight ,4 of all adult mountain lions in the specied region. (Round your answers to one decimal place.) lower limit lb upper limit lb 8. [-I4 Points] BBUNDERSTAT12 7.2.018.NVA ASK YOUR TEACHER 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): 571 56.3 53.5 655 59.0 64.7 701 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 ; and the sample standard deviation 5. (Round your answers to one decimal place.) x = \" s = % (b) Find a 90% condence interval for the population average u of the percentage of hospitals providing at least some charity care. (Round your answers to one decimal place.) lower limit % upper limit % 9. [-/3 Points] BBUNDERSTAT12 9.1.005. ASK YOUR TEACHER Look at the following diagrams. Which diagrams show high linear correlation, moderate or low linear correlation, or no linear correlation? (I) (I7) . . . - . . (a) Select- V (b) --Seleot-- V (c) Sele Need He p? @ In baseball, is there a linear correlation between batting average and home run percentage? Let x represent the batting average of a professional baseball player, and let y represent the player's home run percentage (number of home runs per 100 times at bat). A random sample of n = 7 professional baseball players gave the following information. X 0.235 0.253 0.286 0.263 0.268 0.339 0.299 y 1.2 3.0 5.5 3.8 3.5 7.3 5.0 (a) Make a scatter diagram of the data. (- STAT 21 I' STAT 2 9 Graph Layers ., After you add an object to the graph you Current Sco . can use Graph Layers to view and edit its properties. QUESTION " 6 . . POINTS 4 . . . . s I r a . . Assignmen -. o u \"m Assignment 5 2 ~ . . For this assign . Assignment S Your last submi 0.24 0.25 016 0.27 0.28 0.29 0.3 0. 1 0. 2 0.33 6m PF\" 1 l l l Winnign. Graphing You (b) Use a calculator to verify that 2x = 1.943, 2x2 = 0.546, 2y = 29.3, Eyz = 145.67 and ny = 8.521. Compute r. (Round your answer to three decimal places.)