The breaking strengths of cables produced by a certain manufacturer have historically had a mean of 1750 pounds and a standard deviation of 65 pounds. The company believes that, due to an improvement in the manufacturing process, the mean breaking strength, μ, of the cables is now greater than 1750 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 1762 pounds. 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 H. 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.) (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can we support the claim that the population mean breaking strength of the newly-manufactured cables is greater than 1750 pounds? Yes No μ Ix X a S X 2 00 Р 0
The breaking strengths of cables produced by a certain manufacturer have historically had a mean of 1750 pounds and a standard deviation of 65 pounds. The company believes that, due to an improvement in the manufacturing process, the mean breaking strength, μ, of the cables is now greater than 1750 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 1762 pounds. 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 H. 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.) (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can we support the claim that the population mean breaking strength of the newly-manufactured cables is greater than 1750 pounds? Yes No μ Ix X a S X 2 00 Р 0
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 65 pounds. The
company believes that, due to an improvement in the manufacturing process, the mean breaking strength, μ, of the cables is now greater than 1750 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 1762 pounds. 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 H, 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.)
0
(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?
Yes No
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X
10
O
S
X
2
ロ=ロ OSO
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