A company is doing a hypothesis test on the variation of quality from two suppliers. Both distributions are normal, and the populations are independent. use αα = 0.01 H0 : σσ 1 2 = σσ 2 2 HA : σσ 1 2 > σσ 2 2 The standard deviation of the first sample is 5.4022 with a sample size of 21. 6.6836 is the standard deviation of the second sample with a sample size of 12. The test statistic (rounded to 3 decimal places) is =    Fail to reject the null hypothesis Reject the null hypothesis

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
Question

A company is doing a hypothesis test on the variation of quality from two suppliers. Both distributions are normal, and the populations are independent. use αα = 0.01

H0 : σσ 1 2 = σσ 2 2
HA : σσ 1 2 > σσ 2 2

The standard deviation of the first sample is 5.4022 with a sample size of 21.
6.6836 is the standard deviation of the second sample with a sample size of 12.

The test statistic (rounded to 3 decimal places) is = 

 

  • Fail to reject the null hypothesis
  • Reject the null hypothesis
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