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
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9a6b52c-07c6-40c7-93a2-b59eac1f7768%2F62622e7d-8d23-4ded-8cf1-2c3f3c43d013%2Fkizc9o_processed.png&w=3840&q=75)
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