For a hypothesis test of the claim that the mean amount of sleep for adults is less than 6 hours, technology output shows that the hypothesis test has power of 0.4137 of supporting the claim that u< 6 hours of sleep when the actual population mean is 3.5 hours of sleep. Interpret this value of the power, then identify the value of ß and interpret that value. Interpret this value of the power. O A. The chance of failing to recognize that u = 3.5 hours is not very high when in reality p = 3.5 hours. O B. The chance of recognizing that p<6 hours is not very high when in reality µ = 3.5 hours. C. The chance of recognizing that u<6 hours is very high when in reality u = 3.5 hours. O D. The chance of failing to recognize that u <6 hours is not very high when in reality u = 3.5 hours. Identify the value of B and interpret that value. Select the correct choice below and fill in the answer box to complete your choice. (Round to four decimal places as needed.) O A. The value ß=| indicates that there is a less than 50% chance of incorrectly recognizing that u<6 hours when in reality p = 6 hours. B. The value B= indicates that there is a greater than 50% chance of incorrectly recognizing that u <6 hours when in realityu=6 hours. C. The value B= indicates that there is a less than 50% chance of failing to recognize that u<6 hours when in reality u = 3.5 hours. O D. The value B= indicates that there is a greater than 50% chance of failing to recognize that u < 6 hours when in reality u =3.5 hours.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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6.

For a hypothesis test of the claim that the mean amount of sleep for adults is less than 6 hours, technology output shows that the hypothesis test has power of
0.4137 of supporting the claim that u<6 hours of sleep when the actual population mean is 3.5 hours of sleep. Interpret this value of the power, then identify the
value of ß and interpret that value.
Interpret this value of the power.
A. The chance of failing to recognize that µ = 3.5 hours is not very high when in reality p = 3.5 hours.
B. The chance of recognizing that u < 6 hours is not very high when in reality u = 3.5 hours.
C. The chance of recognizing that u< 6 hours is very high when in reality p = 3.5 hours.
%3D
D. The chance of failing to recognize that u<6 hours is not very high when in reality p = 3.5 hours.
Identify the value of B and interpret that value. Select the correct choice below and fill in the answer box to complete your choice.
(Round to four decimal places as needed.)
A. The value B
indicates that there is a less than 50% chance of incorrectly recognizing that µ< 6 hours when in reality µ = 6 hours.
=
B. The value B=
indicates that there is a greater than 50% chance of incorrectly recognizing that u <6 hours when in reality u = 6 hours.
%3D
C. The value B =|
indicates that there is a less than 50% chance of failing to recognize that u< 6 hours when in reality u = 3.5 hours.
D. The value B =
indicates that there is a greater than 50% chance of failing to recognize that u< 6 hours when in reality u = 3.5 hours.
Transcribed Image Text:For a hypothesis test of the claim that the mean amount of sleep for adults is less than 6 hours, technology output shows that the hypothesis test has power of 0.4137 of supporting the claim that u<6 hours of sleep when the actual population mean is 3.5 hours of sleep. Interpret this value of the power, then identify the value of ß and interpret that value. Interpret this value of the power. A. The chance of failing to recognize that µ = 3.5 hours is not very high when in reality p = 3.5 hours. B. The chance of recognizing that u < 6 hours is not very high when in reality u = 3.5 hours. C. The chance of recognizing that u< 6 hours is very high when in reality p = 3.5 hours. %3D D. The chance of failing to recognize that u<6 hours is not very high when in reality p = 3.5 hours. Identify the value of B and interpret that value. Select the correct choice below and fill in the answer box to complete your choice. (Round to four decimal places as needed.) A. The value B indicates that there is a less than 50% chance of incorrectly recognizing that µ< 6 hours when in reality µ = 6 hours. = B. The value B= indicates that there is a greater than 50% chance of incorrectly recognizing that u <6 hours when in reality u = 6 hours. %3D C. The value B =| indicates that there is a less than 50% chance of failing to recognize that u< 6 hours when in reality u = 3.5 hours. D. The value B = indicates that there is a greater than 50% chance of failing to recognize that u< 6 hours when in reality u = 3.5 hours.
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