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;

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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

  1. check all necessary assumptions;
  2. state the null and alternative hypotheses;
  3. decide whether or not to pool and explain why;
  4. calculate the test statistic and p-value;
  5. state your conclusion in a complete sentence based on the p-value.
3. 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
a. check all necessary assumptions;
b. state the null and alternative hypotheses;
c. decide whether or not to pool and explain why;
d. calculate the test statistic and p-value;
e. state your conclusion in a complete sentence based on the p-value.
Transcribed Image Text:3. 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 a. check all necessary assumptions; b. state the null and alternative hypotheses; c. decide whether or not to pool and explain why; d. calculate the test statistic and p-value; e. state your conclusion in a complete sentence based on the p-value.
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