MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002.

      Ho:μ=87.8Ho:μ=87.8
      Ha:μ≠87.8Ha:μ≠87.8

You believe the population is normally distributed and you know the standard deviation is σ=15.6σ=15.6. You obtain a sample mean of M=83.9M=83.9 for a sample of size n=27n=27.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic = 

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value = 

The p-value is...

  • less than (or equal to) αα
  • greater than αα



This test statistic leads to a decision to...

  • reject the null
  • accept the null
  • fail to reject the null



As such, the final conclusion is that...

  • There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 87.8.
  • There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 87.8.
  • The sample data support the claim that the population mean is not equal to 87.8.
  • There is not sufficient sample evidence to support the claim that the population mean is not equal to 87.8.
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