I have created my chart but am really confused on creating a Hypothesis and how to actually use the information obtained by my chart. The question is about the variance in a production process is an important measure of quality. A lrg var often signals an opportunity for improvement in the process of finding ways to reduce the process variance. Conduct stat test to determine whether there is a significant diff between variances in bag weights of two machines. Use .05 level of sig. What is conclusion? Which machine, if either, provides greater opportunity for improvement?

Here is my chart

Machine I Machine II
Mean 3.3284 3.2782
Variance 0.0489 0.0059
Observations 25 22
df 24 21
F 8.2844
P(F<=f) one-tail 0.000004
F Critical one-tail 2.0540

I am at a loss as to how to interpret the information to answer the question. Thank You

asked by Allison

14 years ago

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I have created my chart but am really confused on creating a Hypothesis and how to actually use the information obtained by my chart.  The question is about the variance in a production process is an important measure of quality.  A lrg var often signals an opportunity for improvement in the process of finding ways to reduce the process variance.  Conduct stat test to determine whether there is a significant diff between variances in bag weights of two machines.  Use .05 level of sig.  What is conclusion?  Which machine, if either, provides greater opportunity for improvement?
Here is my chart

Machine I	Machine II
Mean	 3.3284	       3.2782
Variance  0.0489	0.0059
Observations	25	22
df	  24	        21
F	8.2844	
P(F<=f) one-tail	0.000004	
F Critical one-tail	2.0540

I am at a loss as to how to interpret the information to answer the question.  Thank You