Maurice Tutor

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Category > Management Posted 23 Jan 2018 My Price 6.00

sample of 15 thermocouples

Suppose that in Exercise 4-42 we wanted to be 95% confident that the error in estimating the mean life is less than 5 hours. What sample size should we use?

Exercise 4-42

The life in hours of a thermocouple used in a furnace is known to be approximately normally distributed, with standard deviation σ = 20 hours. A random sample of 15 thermocouples resulted in the following data: 553, 552, 567, 579, 550, 541, 537, 553, 552, 546, 538, 553, 581, 539, 529.

(a) Is there evidence to support the claim that mean life exceeds 540 hours? Use a fixed-level test with α = 0.05.

(b) What is the P-value for this test?

(c) What is the β-value for this test if the true mean life is 560hours?

(d) What sample size would be required to ensure that β does not exceed 0.10 if the true mean life is 560 hours?

(e) Construct a 95% one-sided lower CI on the mean life.

(f) Use the CI found in part

(e) to test the hypothesis.

 

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Maurice Tutor
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Status NEW Posted 23 Jan 2018 11:01 PM My Price 6.00

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