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. Be sure to check all necessary assumptions;
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. Be sure to check all necessary assumptions;
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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. Be sure to
- check all necessary assumptions;
- state the null and alternative hypotheses;
- decide whether or not to pool and explain why;
- calculate the test statistic and p-value;
- state your conclusion in a complete sentence based on the p-value.
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