Allstate Batteries advertises and sells a 4 year (48 months)battery. You work at Consumer Digest, a consumer advocacyorganization, and have been receiving complaints from consumers whofelt they were not receiving their full 48 months. Test Allstate’sclaim that these are 48 month batteries at the 5% level ofsignificance. You have tested a sample of 36 cars and found a meanof 45months and a standard deviation of 1 month. State theappropriate hypotheses from the consumers’ point of view,show drawing and appropriate critical value, compute theappropriate test statistic, accept(fail to reject)/reject the nullhypothesis and draw conclusion. Do you believe the batteries are asadvertised? Construct a 99% confidence interval for the unknownmean.
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