Two different hardening processes, (1) saltwater quenching and (2) oil quenching, are used on samples of a particular type of metal alloy. The results are shown in the following table. Assume that hardness is normally distributed. (1) Assuming that the variances ?ଵ ଶ and ?ଶ ଶ are equal, construct a 95% confidence interval on the difference in mean hardness. (2) Construct a 90% confidence interval on the ratio ?ଵ ଶ ?ଶ ൘ ଶ. Does the assumption made earlier of equal variances seem reasonable?
Assuming Data is
a)
b)
CI = (0.3054,3.0864)
yes, because 1 is present in confidence interval
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