Sports and Leisure 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 mean weight was x‾ = 10.38 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. Use a = 0.01 and assume normality.