The breaking strengths of cables produced by a certain manufacturer have historically had a mean of 1750pounds and a standard deviation of 50 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, 90 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1756 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 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. A. Find the value of the test statistic and round to 3 or more decimal places. (I have posted a picture of an example problem and the equation to use, with the correct answer as every expert I have asked thus far has gotten this problem wrong.) B. FInd the p-value C. Can we support the claim that the population mean breaking strength of the newly-manufactured cables is greater than 1750 pounds? (yes or no
The breaking strengths of cables produced by a certain manufacturer have historically had a mean of 1750pounds and a standard deviation of 50 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, 90 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1756 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 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.
A. Find the value of the test statistic and round to 3 or more decimal places. (I have posted a picture of an example problem and the equation to use, with the correct answer as every expert I have asked thus far has gotten this problem wrong.)
B. FInd the p-value
C. Can we support the claim that the population mean breaking strength of the newly-manufactured cables is greater than 1750 pounds? (yes or no)
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