The life in hours of a battery is known to be approximately normally distributed, with standard deviation o= 1.25 hours. A random sample of 10 batteries has a mean life of x = 40.5 hours. (a) Is there evidence to support the claim that battery life exceeds 40 hours? Use α = 0.020. The battery life significantly different greater than 40 hours at a = 0.020. (b) What is the P-value for the test in part (a)? P-value= Round your answer to three decimal places (e.g. 98.765). (c) What is the B-error for the test in part (a) if the true mean life is 42 hours? B = i Round your answer to five decimal places (e.g. 98.76543). (d) What sample size would be required to ensure that ß does not exceed 0.1 if the true mean life is 44 hours? batteries i
The life in hours of a battery is known to be approximately normally distributed, with standard deviation o= 1.25 hours. A random sample of 10 batteries has a mean life of x = 40.5 hours. (a) Is there evidence to support the claim that battery life exceeds 40 hours? Use α = 0.020. The battery life significantly different greater than 40 hours at a = 0.020. (b) What is the P-value for the test in part (a)? P-value= Round your answer to three decimal places (e.g. 98.765). (c) What is the B-error for the test in part (a) if the true mean life is 42 hours? B = i Round your answer to five decimal places (e.g. 98.76543). (d) What sample size would be required to ensure that ß does not exceed 0.1 if the true mean life is 44 hours? batteries i
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:The life in hours of a battery is known to be approximately normally distributed, with standard deviation o = 1.25 hours. A random
sample of 10 batteries has a mean life of x = 40.5 hours.
(a) Is there evidence to support the claim that battery life exceeds 40 hours? Use a = 0.020.
The battery life
significantly different greater than 40 hours at α = 0.020.
(b) What is the P-value for the test in part (a)?
Round your answer to three decimal places (e.g. 98.765).
(c) What is the B-error for the test in part (a) if the true mean life is 42 hours?
B = i
Round your answer to five decimal places (e.g. 98.76543).
(d) What sample size would be required to ensure that 3 does not exceed 0.1 if the true mean life is 44 hours?
batteries
P-value = i
i
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