The breaking strengths of cables produced by a certain manufacturer have a mean, μ, of 1925 pounds, and a standard deviation of 55 pounds. It is claimed that an improvement in the manufacturing process has increased the mean breaking strength. To evaluate this claim, 49 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1939 pounds. Assume that the population is normally distributed. Can we support, at the 0.10 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 H₁. H:0 H₁:0 (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.) 0 (d) Find the p-value. (Round to three or more decimal places.) (e) Can we support the claim that the mean breaking strength has increased? O Yes O No H X ロ=ロ #0 X O S Un OSO O
The breaking strengths of cables produced by a certain manufacturer have a mean, μ, of 1925 pounds, and a standard deviation of 55 pounds. It is claimed that an improvement in the manufacturing process has increased the mean breaking strength. To evaluate this claim, 49 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1939 pounds. Assume that the population is normally distributed. Can we support, at the 0.10 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 H₁. H:0 H₁:0 (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.) 0 (d) Find the p-value. (Round to three or more decimal places.) (e) Can we support the claim that the mean breaking strength has increased? O Yes O No H X ロ=ロ #0 X O S Un OSO O
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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The breaking strengths
Transcribed Image Text:The breaking strengths of cables produced by a certain manufacturer have a mean, μ, of 1925 pounds, and a standard deviation of 55 pounds. It is claimed that
an improvement in the manufacturing process has increased the mean breaking strength. To evaluate this claim, 49 newly manufactured cables are randomly
chosen and tested, and their mean breaking strength is found to be 1939 pounds. Assume that the population is normally distributed. Can we support, at the
0.10 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 H₁.
H:0
H₁:0
(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.)
0
(d) Find the p-value. (Round to three or more decimal places.)
(e) Can we support the claim that the mean breaking strength has increased?
O Yes O No
H
X
ロ=ロ
#0
X
O
S
Un
OSO
O<O
Р
Ś
<Q
00
ロマロ
O<O
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