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Use the following narrative and a significance level of 0.05 to answer questions 22 25. Specifications for steel rods produced by a particular shearing process
Use the following narrative and a significance level of 0.05 to answer questions 22 25. Specifications for steel rods produced by a particular shearing process require a mean length of 10 inches. In a quality assurance check ofthe mean length, a random sample of \"n" rods results in an average length of 9.9411 inches with a standard deviation of 0.14129 inches. Assume that the rod lengths follow a Normal probability distribution. The hypotheses forthe quality assurance test are HE, : p = 10 and HA: In 7-: '10. The two sets of analysis results below are based on this sample of rods. One sample T hypothesis test: [1: Mean ofvariable H: : p: it] Hs : p :6 1i] Hypothesis test results: Variable Sample Mean Std. Err. DF TStat Pvalue Rod Lengths 9.9444 [3.04264 8 ***** 0.2222 One sample 2 hypothesis test: p: Mean ofvariable H: : |.L= 1:] Ha : p at 1C| Standard deviation not specified. Hypothesis test results: Variable n Sample Mean Std. Err. 2Stat Pvalue Rod Lengths *** 9.94% 0.04154 ***** [12:136 22. True or False? The Cine-sample Z hypothesis test results should be used for this analysis. 23. The value of the test statistic is 24. What is the value of \"n," i.e., what sample size was used? 25. Which of the following is the best conclusion based on this sample? A. There is statistically significant evidence that the process mean is 113. B There is statistically significant evidence that the process mean is not 10. C. There is not statistically significant evidence that the process mean is something other than 10. D There is not statistically significant evidence that the process mean is 10
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