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(c) Verify that 59 z 3.13513 3 9.918, b a 0.4966, and E a 73.000. s. a b ; (:1) Find the predicted percentage 9 of successful eld goais for a player with x = 69% successful free throws. (Round your answer to two decimal places.) x i. (e) Find a 90% condence interval for y when X = 69. (Round your answers to one decimal place.) lowernmnx are uppernmnx is (f) Use a 5% level of significance to test the claim that B > 0. (Round your answers to two decimal places.) r x ma: r Conclusion Reject the null hypothesis, there is sufcient evidence that {3 > i]. O Reject the null hypothesis, there is insufcient evidence that B > 0. O Fail to reject the null hypothesis, there is insufcient evidence that 3 b 0. O Fail to reject the null hypothesis, there is sufcient evidence that ,8 > 0. I [9) Find a 90% confidence interval for ,8. (Round your answers to three decimal places.) lower limit 0.134 x upper limit 0.880 p 2. [0.33/0.45 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 9.3.007.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. X 67 64 75 86 73 73 44 39 48 51 44 51 (a) Verify that Ex = 438, Ey = 277, Ex- = 32264, Ey 0. (Round your answers to two decimal places.) t 2.90 X critical t 2.13(c) Verify that S. & 1.6136, a x 26.505, and b & -65.302. S 1.6136 26.505 b -65.302 (d) Find the predicted percentage y of strikeouts for a player with an x = 0.34 batting average. (Use 2 decimal places.) 4.20 * % (e) Find a 95% confidence interval for y when x = 0.34. (Use 2 decimal places.) lower limit -1.12 X % upper limit 9.52 X % (f) Use a 5% level of significance to test the claim that B # 0. (Use 2 decimal places.) t -3.84 X critical t + 2.78 Conclusion O Reject the null hypothesis, there is sufficient evidence that B differs from 0. O Reject the null hypothesis, there is insufficient evidence that B differs from 0. O Fail to reject the null hypothesis, there is insufficient evidence that B differs from 0. O Fail to reject the null hypothesis, there is sufficient evidence that B differs from 0. (g) Find a 95% confidence interval for B and interpret its meaning. (Use 2 decimal places.) lower limit -112.52 X upper limit -18.14 X3. [0.31/0.45 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 9.3.008. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information. X 0.334 0.300 0.340 0.248 0.367 0.269 3.3 7.6 4.0 Rectangular Ship 8.6 3.1 11.1 (a) Verify that Ex = 1.858, Ey = 37.7, Ex- = 0.58571, Ey 0. (Use 2 decimal places.) r|:| Conclusion @ Reject the null hypothesis, there is sufcient evidence that 3 > D. O Reject the null hypothesis, there is insufcient evidence that j? > i]. O Fail to reject the null hypothesis, there is insufcient evidence that [i > D. O Fail to reject the null hypothesis, there IS sul'Cient evidence that > D. I (9) Find a 99% condence interval for ,B and interpret Its meaning. (Use 2 decimal places.) mm: Interpretation O For a oneeunit increase in oxygen pressure breathing only available air, the oxygen pressure breathing pure oxygen decreases by an amount that falls outside the condence interval. 0 For a one-unit increase in oxygen pressure breathing only available air, the oxygen pressure breathing pure oxygen increases by an amount that falls within the confidence interval. @ For a oneunit increase in oxygen pressure breathing only available air, the oxygen pressure breathing pure oxygen decreases by an amount that falls within theqonffielngeci terval. H. ILI ' cue O For a oneunit increase in oxygen pressure breathing only available air, the oxygen pressure breathing pure oxygen increases by an amount that falls outsiiieed'leiconfidence. Intervals: t \\ X 5. [0.22/0.45 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 9.3.010. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Aviation and high-altitude physiology is a specialty in the study of medicine. Let x = partial pressure of oxygen in the alveoli (air cells in the lungs) when breathing naturally available air. Let y = partial pressure when breathing pure oxygen. The (x, y) data pairs correspond to elevations from 10,000 feet to 30,000 feet in 5000 foot intervals for a random sample of volunteers. Although the medical data were collected using airplanes, they apply equally well to Mt. Everest climbers (summit 29,028 feet). 7.3 4.9 4.2 3.3 2.1 (units: mm Hg/10) 42.0 32.3 26.2 16.2 13.9 (units: mm Hg/10) (a) Verify that Ex = 21.8, Ey = 130.6, Ex = 110.24, Ey 0. (Use 2 decimal places.) t 6.77 x critical t 5.84 X Conclusion Reject the null hypothesis, there is sufficient evidence that p > 0. O Reject the null hypothesis, there is insufficient evidence that p > 0. O Fail to reject the null hypothesis, there is insufficient evidence that p > 0. O Fail to reject the null hypothesis, there is sufficient evidence that p > 0. (c) Verify that S. ~ 2.9831, a ~ 0.823, and b ~ 5.802. Activate Windows Go to Settings to activate Windows. S 2.9831 0.823\f6. [0.28/0.45 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 9.3.011. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Ocean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of recovery in km/100. The following data are representative of one study using drift bottles to study ocean currents. x days 74 76 34 97 205 y km / 100 14.2 19.8 5.9 11.2 35.6 (a) Verify that Ex = 486, Zy = 86.7, Ex 0. (Use 2 decimal places.) t 4.26 critical t 4.54 Conclusion O Reject the null hypothesis, there is sufficient evidence that p > 0. O Reject the null hypothesis, there is insufficient evidence that p > 0. O Fail to reject the null hypothesis, there is insufficient evidence that p > 0. O Fail to reject the null hypothesis, there is sufficient evidence that p > 0. X (c) Verify that S. ~ 4.9824, a x 1.4548, and b & 0.1634. S 4.9824 3 1.4548 b 0. 1634 Activate Windows Go to Settings to activate Windows. (d) Find the predicted distance (km/100) when a drift bottle has been floating for 70 days. (Use 2 decimal places.) 11.50 X km/100
