A Grocery Store Manager Is Interested in Determining Whether or Not

A grocery store manager is interested in determining whether or not a difference exists between the shelf life of two different brands of doughnuts.A random sample of 100 boxes of each brand was selected and the shelf life in days was determined for each box.The sample results are given below. $$\begin{array} { l | l } \text { Brand A } & \text { Brand B } \\\hline \bar { x } = 2.1 & \bar { x } = 2.9 \\\mathrm {~s} = 0.8 & \mathrm {~s} = 1.1 \\\mathrm { n } = 100 & \mathrm { n } = 100\end{array}$$ Find a 98% confidence interval for $\mu _ { \mathrm { A } }$ - $\mu_\mathrm { B }$ ,that is,the difference in mean shelf life between Brand A and Brand B.

A) (-0.02,1.62)
B) (-1.12,-0.48)
C) (0.48,1.12)
D) (2.1,2.9)
E) (-1.62,0.02)

Correct Answer:

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