In an effort to improve efficiency, Samuel Adams brewing company would like to produce yeast slurry with variance no greater than 62.5. A new delivery pump was installed, and a random sample of 10...

In an effort to improve efficiency, Samuel Adams brewing company would like to produce yeast slurry with variance no greater than 62.5. A new delivery pump was installed, and a random sample of 10 slurry mixtures was obtained. Each mixture was measured in billion cells/ml and the sample variance was s = 5 70.1. Is there any evidence to suggest the variance is greater than the desired value? Assume normality and use
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The specified weight of a 22-mm die used at casinos in Las Vegas, Nevada, is 10.4 g. The variability in die weight must be negligible (at most 0.04 g2 ) in order for patrons to believe that games involving dice are fair. A random sample of 25 new 22-mm dice was obtained and each die was carefully weighed. The sample
 g and the sample standard deviation was s = 0.244 g. Conduct the relevant hypothesis test to determine whether there is any evidence that the variance in die weight is greater than 0.04.
 and assume normality.