he breaking strengths of cables produced by a certain manufacturer have historically had a mean of 1750 pounds and a standard deviation of 55 pounds. The ompany believes that, due to an improvement in the manufacturing process, the mean breaking strength, H, of the cables is now greater than 1750 pounds. o see if this is the case, 32 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1766 pounds. Assume that the population is normally distributed. Can we support, at the 0.10 level of significance, the claim that the population mean breaking strength of the newly-manufactured cables is greater than 1750 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 Ho and the alternative hypothesis H₁. H₂ :O 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.) μ |x X 0 0=0 ロロ a S 2 OSO Р P 0/0 ロマロ 0<0 ☐>0
he breaking strengths of cables produced by a certain manufacturer have historically had a mean of 1750 pounds and a standard deviation of 55 pounds. The ompany believes that, due to an improvement in the manufacturing process, the mean breaking strength, H, of the cables is now greater than 1750 pounds. o see if this is the case, 32 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1766 pounds. Assume that the population is normally distributed. Can we support, at the 0.10 level of significance, the claim that the population mean breaking strength of the newly-manufactured cables is greater than 1750 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 Ho and the alternative hypothesis H₁. H₂ :O 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.) μ |x X 0 0=0 ロロ a S 2 OSO Р P 0/0 ロマロ 0<0 ☐>0
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:The breaking strengths of cables produced by a certain manufacturer have historically had a mean of 1750 pounds and a standard deviation of 55 pounds. The
company believes that, due to an improvement in the manufacturing process, the mean breaking strength, H, of the cables is now greater than 1750 pounds.
To see if this is the case, 32 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1766 pounds.
Assume that the population is normally distributed. Can we support, at the 0.10 level of significance, the claim that the population mean breaking strength of
the newly-manufactured cables is greater than 1750 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 Ho and the alternative hypothesis H₁.
HO
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.)
(d) Find the p-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 1750 pounds?
O Yes No
3
X
ロ=ロ
a
X
S
00
OSO
☐☐ 0<0
Р
S
P
0
ALL
²
0<0
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