An ACME Bearings manager wants to compare the average ball bearing sizes from two different machines. She suspects the mean diameter for bearings from machine 2 exceeds that of bearings from machine 1. She takes two independent, random samples of size 50, one from each machine. The mean and standard deviation of bearings taken from machine 1 are 3.302 mm and 0.051 mm. The mean and standard deviation of bearings taken from machine 2 are 3.355 mm and 0.050 mm. Run a hypothesis test consistent with her suspicions, make a 98% t-interval for the difference between the true means. In doing so, be sure to a. check all necessary assumptions for making the t-interval; b. calculate the interval endpoints; c. interpret the interval in a complete sentence.
An ACME Bearings manager wants to compare the average ball bearing sizes from two different machines. She suspects the mean diameter for bearings from machine 2 exceeds that of bearings from machine 1. She takes two independent, random samples of size 50, one from each machine. The mean and standard deviation of bearings taken from machine 1 are 3.302 mm and 0.051 mm. The mean and standard deviation of bearings taken from machine 2 are 3.355 mm and 0.050 mm. Run a hypothesis test consistent with her suspicions, make a 98% t-interval for the difference between the true means. In doing so, be sure to
a. check all necessary assumptions for making the t-interval;
b. calculate the interval endpoints;
c. interpret the interval in a complete sentence.
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