Test the Indicated Claim About the Means of Two Populations

Essay

Test the indicated claim about the means of two populations. Assume that the two samples are independent and that they have been randomly selected.
-Two types of flares are tested for their burning times (in minutes)and sample results are given below. $$\begin{array} { l l l } \text { Brand } \mathrm { X }& { \text { Brand } \mathrm { Y } } \\\hline n=35 & \overline { \mathrm { n } } = 40 \\\overline { \mathrm { x } } = 19.4 & \overline { \mathrm { x } } = 15.1 \\\mathrm {~s} = 1.4 & \mathrm {~s} = 0.8\end{array}$$ Refer to the sample data to test the claim that the two populations have equal means. Use a 0.05 significance level.