The life in hours of a battery is known to be approximately normally distributed, with standard deviation σ = 1.25 hours. A rand
om sample of 10 batteries has a mean life of x overBar equals 40.5 hours.
(a) Is there evidence to support the claim that battery life exceeds 40 hours? Use α = 0.020.
(b) What is the P-value for the test in part (a)?
(c) What is the β-error for the test in part (a) if the true mean life is 42 hours?
(d) What sample size would be required to ensure that β does not exceed 0.1 if the true mean life is 44 hours?
Round your answers to three significant digits.
(a) The battery life ( IS ??? or IS NOT ??? ) significantly different greater than 40 hours at α = 0.020.
(b)p-value = _____?_____ Round your answer to three decimal places (e.g. 98.765).
(c)β = _____?_____ Round your answer to five decimal places (e.g. 98.76543).
(d) ____?_____batteries
(a) Is there evidence to support the claim that battery life exceeds 40 hours? Use α = 0.020.
(b) What is the P-value for the test in part (a)?
(c) What is the β-error for the test in part (a) if the true mean life is 42 hours?
(d) What sample size would be required to ensure that β does not exceed 0.1 if the true mean life is 44 hours?
Round your answers to three significant digits.
(a) The battery life ( IS ??? or IS NOT ??? ) significantly different greater than 40 hours at α = 0.020.
(b)p-value = _____?_____ Round your answer to three decimal places (e.g. 98.765).
(c)β = _____?_____ Round your answer to five decimal places (e.g. 98.76543).
(d) ____?_____batteries
1 answer:
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Answer:
a)
b)
c)
d)
e)
Step-by-step explanation:
Let define some notation:
[L]= represent longitude , [T] =represent time
And we have defined:
s(t) a position function
Part a
If we do the dimensional analysis for v we got:
Part b
For the acceleration we can use the result obtained from part a and we got:
Part c
From definition if we do the integral of the velocity respect to t we got the position:
And the dimensional analysis for the position is:
Part d
The integral for the acceleration respect to the time is the velocity:
And the dimensional analysis for the position is:
Part e
If we take the derivate respect to the acceleration and we want to find the dimensional analysis for this case we got: