What is the p-value for the test in part

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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

Reference no: EM132857929

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