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MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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The breaking strengths of cables produced by a
certain manufacturer have a mean, µ, of 1875
pounds, and a standard deviation of 95 pounds. It
is claimed that an improvement in the
manufacturing process has increased the mean
breaking strength. To evaluate this claim, so newly
manufactured cables are randomly chosen and
tested, and their mean breaking strength is found
to be 1882 pounds. Can we support, at the o.1 level of
significance, the claim that the mean breaking
strength has increased? (Assume that the
standard deviation has not changed.)
Perform a one-tailed test. Then complete the
parts below.
Carry your intermediate computations to three or
more decimal places, and round your responses
as specified below. (If necessary, consult a list of
formulas.)
(a) State the null hypothesis H, and the alternative hypothesis H,.
H. 0
H, 0
(b) Determine the type of test statistic to use.
(Choose one) v
D=0
OSO
(c) Find
value
test statistic. (Round to three or more decimal places.)
O<O O>O
(d) Find the critical value. (Round
three
more decimal places.)
(e) Can we support the claim that the mean breaking strength has increased?
OYes ONo
olo
Transcribed Image Text:The breaking strengths of cables produced by a certain manufacturer have a mean, µ, of 1875 pounds, and a standard deviation of 95 pounds. It is claimed that an improvement in the manufacturing process has increased the mean breaking strength. To evaluate this claim, so newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1882 pounds. Can we support, at the o.1 level of significance, the claim that the mean breaking strength has increased? (Assume that the standard deviation has not changed.) Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H. 0 H, 0 (b) Determine the type of test statistic to use. (Choose one) v D=0 OSO (c) Find value test statistic. (Round to three or more decimal places.) O<O O>O (d) Find the critical value. (Round three more decimal places.) (e) Can we support the claim that the mean breaking strength has increased? OYes ONo olo
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