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 12.1 26.3 32.2 38.3 51.3 20.5 22.7 y 2.48 2.18 1.48 1.03 0.75 2.38 2.20 a) Find the predicted optimal time in hours for a dive depth of x = 22 meters. (Round your answer to two decimal places.) ______ hr b) Find an 80% confidence interval for y when x = 22 meters. (Round your answers to two decimal places.) lower limit= ____ hr upper limit =____hr c) Find a 90% confidence interval for ? and interpret its meaning. (Round your answers to three decimal places.) lower limit = upper limit=
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 12.1 26.3 32.2 38.3 51.3 20.5 22.7
y 2.48 2.18 1.48 1.03 0.75 2.38 2.20
a) Find the predicted optimal time in hours for a dive depth of x = 22 meters. (Round your answer to two decimal places.)
______ hr
b) Find an 80% confidence interval for y when x = 22 meters. (Round your answers to two decimal places.)
lower limit= ____ hr
upper limit =____hr
c) Find a 90% confidence interval for ? and interpret its meaning. (Round your answers to three decimal places.)
lower limit =
upper limit=
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