A performance specification requires a variance of less than 0.23 (0250.23) sample of 20 batches have an average variance of 0.26 (s2=D0.26). For a 90% confidence, is this sample out of spec? Which of these is the appropriate null hypothesis? (Ho: µ = 0.23 , H p =0.26, Ho: o2 = 0.20 or Ho: 02 =0.23) What is the chi-squared (x2) cut-off value for rejecting the null hypothesis given n=20 and a=0.10? What x2-value is calculated as the sample statistic for this hypothesis? What is the decision? (fail to reject null hypothesis or reject null hypothesis) With 95% confidence based on this measurement, do these batche need to investigated for not meeting the variance spec? (yes or no)

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1. A performance specification requires a variance of less than 0.23 (02<0.23). A
sample of 20 batches have an average variance of 0.26 (s2=D0.26). For a 90%
confidence, is this sample out of spec?
Which of these is the appropriate null hypothesis? (Ho: µ = 0.23, Ho:
u =0.26, Ho: o2 = 0.20 or Ho: 02 =0.23)
What is the chi-squared (x2) cut-off value for rejecting the null
hypothesis given n=20 and a=0.10?
What x2-value is calculated as the sample statistic for this
hypothesis?
What is the decision? (fail to reject null hypothesis or reject null
hypothesis)
With 95% confidence based on this measurement, do these batches
need to investigated for not meeting the variance spec? (yes or no)
Transcribed Image Text:1. A performance specification requires a variance of less than 0.23 (02<0.23). A sample of 20 batches have an average variance of 0.26 (s2=D0.26). For a 90% confidence, is this sample out of spec? Which of these is the appropriate null hypothesis? (Ho: µ = 0.23, Ho: u =0.26, Ho: o2 = 0.20 or Ho: 02 =0.23) What is the chi-squared (x2) cut-off value for rejecting the null hypothesis given n=20 and a=0.10? What x2-value is calculated as the sample statistic for this hypothesis? What is the decision? (fail to reject null hypothesis or reject null hypothesis) With 95% confidence based on this measurement, do these batches need to investigated for not meeting the variance spec? (yes or no)
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