A statistics professor is about to select a sta-tistical software package for her course. One of themost important features, according to the professor,is the ease with which students learn to use the soft-ware. She has narrowed the selection to two possi-bilities: software A, a menu-driven statistical packagewith some high-powered techniques, and software B, aspreadsheet that has the capability of performing mosttechniques. To help make her decision, she asks40 sta-tistics students selected at random to choose one of thetwo packages. She gives each student a statistics prob-lem to solve by computer and the appropriate manual.The amount of time (in minutes) each student neededto complete the assignment was recorded.a. Can the professor conclude from these data thatthe two software packages differ in the amountof time needed to learn how to use them? (Use a1% significance level.)b. Estimate with95% confidence the difference inthe mean amount of time needed to learn to usethe two packages.c. What are the required conditions for the tech-niques used in parts (a) and (b)?d. Check to see whether the required conditionsare satisfie
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