Question

The life in hours of a battery is known to be approximately normally distributed, with standard deviation σ = 1.25 hours. A random 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

Answer 1

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.