Part: 2 / 3 Part 3 of 3 (c) How large would the sample need to be so that a 95% confidence interval would have a margin of error of 1.0? The sample size would need to be

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Drill lifetime: A sample of 50 drills had a mean lifetime of 12.54 holes drilled when drilling a low-carbon steel. Assume the population standard deviation is
Español
7.11.
Part 1 of 3
(a) Construct a 95% confidence interval for the mean lifetime of this type of drill. Use tables or technology. Round your answers to at least two decimal
places.
The confidence interval is
10.57
14.51
Part 2 of 3
(b) The manufacturer of the drills claims that the mean lifetime is greater than 13. Does this confidence interval contradict this claim?
No
the confidence interval does not contain any
values greater than 13, so the claim
is not
contradicted.
Part: 2 / 3
Part 3 of 3
(c) How large would the sample need to be so that a 95% confidence interval would have a margin of error of 1.0?
The sample size would need to be
Transcribed Image Text:Drill lifetime: A sample of 50 drills had a mean lifetime of 12.54 holes drilled when drilling a low-carbon steel. Assume the population standard deviation is Español 7.11. Part 1 of 3 (a) Construct a 95% confidence interval for the mean lifetime of this type of drill. Use tables or technology. Round your answers to at least two decimal places. The confidence interval is 10.57 14.51 Part 2 of 3 (b) The manufacturer of the drills claims that the mean lifetime is greater than 13. Does this confidence interval contradict this claim? No the confidence interval does not contain any values greater than 13, so the claim is not contradicted. Part: 2 / 3 Part 3 of 3 (c) How large would the sample need to be so that a 95% confidence interval would have a margin of error of 1.0? The sample size would need to be
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