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Zanzabum
3 years ago
8

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

Mathematics
1 answer:
Papessa [141]3 years ago
6 0

Answer

The answer and procedures of the exercise are attached in the following archives.

Step-by-step explanation:

You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.  

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Answer:

3

Step-by-step explanation:

Given

- 1 - (- 6 + 10 ) ÷ - 1 ← evaluate parenthesis

= - 1 - (4) ÷ - 1

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What is an equation of the line that is perpendicular to y + 1 = -3(x - 5) and passes through the point (4, -6)?
IrinaK [193]

Answer:

Option A.

Step-by-step explanation:

y + 1 = -3x + 15

y = -3x + 14

A line perpendicular would have a slope of 1/3.

y = 1/3x + c

-6 = 1/3 * 4 + c

4/3 + c = -6

c = -18/3 - 4/3

c = -22/3

So, we have y = 1/3x - 22/3.

y + 6 = 1/3(x - 4)

y + 6 = 1/3x - 4/3

y = 1/3x - 4/3 - 18/3

y = 1/3x - 22/3

So, the correct answer is Option A.

Hope this helps!

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Step-by-step explanation:

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