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 16.1 23.3 29.2 y 2.48 2.38 1.68 (a) Find Ex, Ey, Ex', Σy, Exy, and r. (Round rto three decimal places.) Ex= Ey= Σχ = 5₁2 38.3 51.3 1.03 0.75 20.5 2.38 22.7 2.20
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 16.1 23.3 29.2 y 2.48 2.38 1.68 (a) Find Ex, Ey, Ex', Σy, Exy, and r. (Round rto three decimal places.) Ex= Ey= Σχ = 5₁2 38.3 51.3 1.03 0.75 20.5 2.38 22.7 2.20
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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