Homework Help is Here – Start Your Trial Now!
Math
Statistics
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 15.1 y 2.48 23.3 2.38 32.2 1.48 38.3 1.03 22.7 2.20 51.3 20.5 2.38 0.75 (a) Find Ex, Ey, Ex, Ey?, Exy, and r. (Round r to three decimal places.) Ex 203.4 Ey = 12.7 Ex - 0.001 Ey? - 0.002 Exy = 931.638 r-0.9655 (b) Use a 1% level of significance to test the claim that p< 0. (Round your answers to two decimal places.) t= -8.29 critical t--3.36 Conclusion O Reject the nult hypothesis. There is insufficient evidence that p < 0. O Reject the null hypothesis. There is sufficient 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) Find Sa, and b. (Round your answers to five decimal places.) a- 3.43032 b- -0.05562

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 15.1 y 2.48 23.3 2.38 32.2 1.48 38.3 1.03 22.7 2.20 51.3 20.5 2.38 0.75 (a) Find Ex, Ey, Ex, Ey?, Exy, and r. (Round r to three decimal places.) Ex 203.4 Ey = 12.7 Ex - 0.001 Ey? - 0.002 Exy = 931.638 r-0.9655 (b) Use a 1% level of significance to test the claim that p< 0. (Round your answers to two decimal places.) t= -8.29 critical t--3.36 Conclusion O Reject the nult hypothesis. There is insufficient evidence that p < 0. O Reject the null hypothesis. There is sufficient 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) Find Sa, and b. (Round your answers to five decimal places.) a- 3.43032 b- -0.05562

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 25EQ
See similar textbooks
icon
Related questions
Question
O Fail to reject the null hypothesis. There is insufficient evidence that p < 0. Fail to reject the null hypothesis. There is sufficient evidence that p < 0. (c) Find S, a, and b. (Round your answers to five decimal places.) e' e a = 3.43032 b = -0.05562 (d) Find the predicted optimal time in hours for a dive depth of x = 33 meters. (Round your answer to two decimal places.) hr (e) Find an 80% confidence interval for y when x = 33 meters. (Round your answers to two decimal places.) lower limit hr upper limit hr (f) Use a 1% level of significance to test the claim that ß < 0. (Round your answers to two decimal places.) critical t = Conclusion Fail to reject the null hypothesis. There is sufficient evidence that ß < 0. Fail to reject the null hypothesis. There is insufficient evidence that B < 0. O Reject the null hypothesis. There is insufficient evidence that ß < 0. Reject the null hypothesis. There is sufficient evidence that B < 0. (g) Find a 90% confidence interval for ß and interpret its meaning. (Round your answers to three decimal places.) lower limit upper limit Interpretation For a 1 meter increase in depth, the optimal time increases by an amount that falls within the confidence interval. For a 1 meter increase in depth, the optimal time decreases by an amount that falls within the confidence interval. O For a 1 meter increase in depth, the optimal time increases by an amount that falls outside the confidence interval. O For a 1 meter increase in depth, the optimal time decreases by an amount that falls outside the confidence interval.
Transcribed Image Text:O Fail to reject the null hypothesis. There is insufficient evidence that p < 0. Fail to reject the null hypothesis. There is sufficient evidence that p < 0. (c) Find S, a, and b. (Round your answers to five decimal places.) e' e a = 3.43032 b = -0.05562 (d) Find the predicted optimal time in hours for a dive depth of x = 33 meters. (Round your answer to two decimal places.) hr (e) Find an 80% confidence interval for y when x = 33 meters. (Round your answers to two decimal places.) lower limit hr upper limit hr (f) Use a 1% level of significance to test the claim that ß < 0. (Round your answers to two decimal places.) critical t = Conclusion Fail to reject the null hypothesis. There is sufficient evidence that ß < 0. Fail to reject the null hypothesis. There is insufficient evidence that B < 0. O Reject the null hypothesis. There is insufficient evidence that ß < 0. Reject the null hypothesis. There is sufficient evidence that B < 0. (g) Find a 90% confidence interval for ß and interpret its meaning. (Round your answers to three decimal places.) lower limit upper limit Interpretation For a 1 meter increase in depth, the optimal time increases by an amount that falls within the confidence interval. For a 1 meter increase in depth, the optimal time decreases by an amount that falls within the confidence interval. O For a 1 meter increase in depth, the optimal time increases by an amount that falls outside the confidence interval. O For a 1 meter increase in depth, the optimal time decreases by an amount that falls outside the confidence interval.
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. 15.1 23.3 32.2 38.3 51.3 20.5 22.7 2.48 2.38 1.48 1.03 0.75 2.38 2.20 (a) Find Ex, Ey, Ex², Ey², Exy, and r. (Roundr to three decimal places.) Ex = 203.4 Ey = 12.7 Ex2 = 0.001 Ey? = 0.002 Exy = 931.638 r= -0.9655 (b) Use a 1% level of significance to test the claim that p < 0. (Round your answers to two decimal places.) t = -8.29 critical t = -3.36 Conclusion O Reject the null hypothesis. There is insufficient evidence that p < 0. Reject the null hypothesis. There is sufficient evidence that p < 0. 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) Find Se, a, and b. (Round your answers to five decimal places.) Se a = 3.43032 b = |-0.05562 %3D (d) Find the predicted optimal time in hours for a dive depth of x = 33 meters. (Round your answer to two decimal places.) hr (e) Find an 80% confidence interval for y when x = 33 meters. (Round your answers to two decimal places.) lower limit hr hr upper limit (f) Use a 1% level of significance to test the claim that B < 0. (Round your answers to two decimal places.) t = critical t =
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. 15.1 23.3 32.2 38.3 51.3 20.5 22.7 2.48 2.38 1.48 1.03 0.75 2.38 2.20 (a) Find Ex, Ey, Ex², Ey², Exy, and r. (Roundr to three decimal places.) Ex = 203.4 Ey = 12.7 Ex2 = 0.001 Ey? = 0.002 Exy = 931.638 r= -0.9655 (b) Use a 1% level of significance to test the claim that p < 0. (Round your answers to two decimal places.) t = -8.29 critical t = -3.36 Conclusion O Reject the null hypothesis. There is insufficient evidence that p < 0. Reject the null hypothesis. There is sufficient evidence that p < 0. 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) Find Se, a, and b. (Round your answers to five decimal places.) Se a = 3.43032 b = |-0.05562 %3D (d) Find the predicted optimal time in hours for a dive depth of x = 33 meters. (Round your answer to two decimal places.) hr (e) Find an 80% confidence interval for y when x = 33 meters. (Round your answers to two decimal places.) lower limit hr hr upper limit (f) Use a 1% level of significance to test the claim that B < 0. (Round your answers to two decimal places.) t = critical t =
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
SEE MORE TEXTBOOKS