Answered: The breaking strengths of cables…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Related questions

Question

The breaking strengths of cables produced by a certain manufacturer have historically had a mean of

1875

pounds and a standard deviation of

pounds. The company believes that, due to an improvement in the manufacturing process, the mean breaking strength,

, of the cables is now greater than

1875

pounds. To see if this is the case,

150

newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be

1878

pounds. Can we support, at the

0.05

level of significance, the claim that the population mean breaking strength of the newly-manufactured cables is greater than

1875

pounds? Assume that the population 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 H0 and the alternative hypothesis H1 .
H0:
H1:
(b)	Determine the type of test statistic to use.
	▼(Choose one)
(c)	Find the value of the test statistic. (Round to three or more decimal places.)

(d)	Find the critical value. (Round to three or more decimal places.)

(e)	Can we support the claim that the population mean breaking strength of the newly-manufactured cables is greater than 1875 pounds?
Yes No