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  3. the life in hours of a thermocouple used in a furn

The life in hours of a thermocouple used in a furnace is known to be ap- proximately...

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Question

Basic Math

The life in hours of a thermocouple used in a furnace is knownto be ap-

proximately normally distributed, with standard deviation

?

= 20 hours. A

random sample of 15 thermocouples resulted in he following data:553, 552,

567, 579, 550, 541, 537, 553, 552, 546, 538, 553, 581, 539,529.

Use the 5 steps in the testing procedure to solve followingquestion:

a) Is there evidence to support the claim that mean life exceeds540 hours?

Use a fixed-level test with

?

= 0

.

05.

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

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

d) Use the CI found above to test the hypothesis.

e) What is the ?-value for this test if the true mean life is560 hours?

Answer & Explanation Solved by verified expert
3.6 Ratings (380 Votes)
a 553 552 567 579 550 541 537 553 552 546 538 553 581 539 52915 55133The test statistic z 55133 54020 219At alpha 005 the critical value is z095    See Answer
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