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SBE10 CP09

# SBE10 CP09 - Chapter 9 Hypothesis Testing Chapter 9...

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Chapter 9 Hypothesis Testing Chapter 9 Hypothesis Testing Case Problem 1: Quality Associates, Inc. 1. The hypothesis testing results are shown below: Sample 1 Sample 2 Sample 3 Sample 4 Sample Size 30 30 30 30 Mean 11.959 12.029 11.889 12.081 Standard Deviation 0.220 0.220 0.207 0.206 Level of Significance (alpha) 0.010 0.010 0.010 0.010 Critical Value (lower tail) -2.576 -2.576 -2.576 -2.576 Critical Value (upper tail) 2.576 2.576 2.576 2.576 Hypothesized value 12 12 12 12 Standard Error 0.040 0.040 0.038 0.038 Test Statistic -1.027 0.713 -2.935 2.161 p -value 0.304 0.476 0.003 0.031 Only sample 3 leads to the rejection of the hypothesis H 0 : μ = 12. Thus, corrective action is warranted for sample 3. The other samples indicate H 0 cannot be rejected and thus from all we can tell, the process is operating satisfactorily. Sample 3 with x = 11.89 shows the process is operating below the desired mean. Sample 4 with x = 12.08 is on the high side, but the p -value of .03 is not sufficient to reject H 0 . 2. The sample standard deviations for all four samples are in the .20 to .22 range. It appears that the process population standard deviation assumption of .21 is good.

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SBE10 CP09 - Chapter 9 Hypothesis Testing Chapter 9...

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