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t is the optim time for a scuba diver to be c the bottom of the ocean? That depends on the depth of the dive. The U.S. Navy has done a lot of research on this topic. The Navy defines the "optimal time" to be the time at each depth for the best balance between length of work period and decompression time after surfacing. Let x = depth of dive in meters, and let y = optimal time in hours. A random sample of divers gave the following data. 23.3 29.2 38.3 51.3 20.5 22.7 2.38 1.68 1.03 0.75 2.38 2.20 (a) Find Ex, Ey, Ex, Ey, Exy, and r. (Round rto three decimal places.) X Σχ=| Ey= Ex² = Ey= Exy= r= 16.1 2.48 (b) Use a 1% level of significance to test the claim that p <0. (Round your answers to two decimal places.) critical t= (e) Find an 80% confidence interval for y when x = 38 meters. (Round your answers to two decimal places.) lower limit. upper limit hr hr

t is the optim time for a scuba diver to be c the bottom of the ocean? That depends on the depth of the dive. The U.S. Navy has done a lot of research on this topic. The Navy defines the "optimal time" to be the time at each depth for the best balance between length of work period and decompression time after surfacing. Let x = depth of dive in meters, and let y = optimal time in hours. A random sample of divers gave the following data. 23.3 29.2 38.3 51.3 20.5 22.7 2.38 1.68 1.03 0.75 2.38 2.20 (a) Find Ex, Ey, Ex, Ey, Exy, and r. (Round rto three decimal places.) X Σχ=| Ey= Ex² = Ey= Exy= r= 16.1 2.48 (b) Use a 1% level of significance to test the claim that p <0. (Round your answers to two decimal places.) critical t= (e) Find an 80% confidence interval for y when x = 38 meters. (Round your answers to two decimal places.) lower limit. upper limit hr hr

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 22EQ
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What is the optimal time for a scuba diver to be on the bottom of the ocean? That depends on the depth of the dive. The U.S. Navy has done a lot of research on this topic. The Navy defines the "optimal time" to be the time at each depth for the best balance between length of work period and decompression time after surfacing. Let x = depth of dive in meters, and let y = optimal time in hours. A random sample of divers gave the following data. X 23.3 29.2 38.3 51.3 2.38 1.68 1.03 y (a) Find Ex, Ey, Ex, Ey, Exy, and r. (Round rto three decimal places.) Σχ=| Ey= Σχ = Σy = Exy= r= 16.1 2.48 t= (b) Use a 1% level of significance to test the claim that p < 0. (Round your answers to two decimal places.) critical t = 20.5 0.75 2.38 (e) Find an 80% confidence interval for y when x = 38 meters. (Round your answers to two decimal places.) lower limit upper limit hr t= critical t = 22.7 2.20 hr (f) Use a 1% level of significance to test the claim that ß <0. (Round your answers to two decimal places.)
Transcribed Image Text:What is the optimal time for a scuba diver to be on the bottom of the ocean? That depends on the depth of the dive. The U.S. Navy has done a lot of research on this topic. The Navy defines the "optimal time" to be the time at each depth for the best balance between length of work period and decompression time after surfacing. Let x = depth of dive in meters, and let y = optimal time in hours. A random sample of divers gave the following data. X 23.3 29.2 38.3 51.3 2.38 1.68 1.03 y (a) Find Ex, Ey, Ex, Ey, Exy, and r. (Round rto three decimal places.) Σχ=| Ey= Σχ = Σy = Exy= r= 16.1 2.48 t= (b) Use a 1% level of significance to test the claim that p < 0. (Round your answers to two decimal places.) critical t = 20.5 0.75 2.38 (e) Find an 80% confidence interval for y when x = 38 meters. (Round your answers to two decimal places.) lower limit upper limit hr t= critical t = 22.7 2.20 hr (f) Use a 1% level of significance to test the claim that ß <0. (Round your answers to two decimal places.)
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