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 at a significance level of α=0.05

      H0:μ=52.6
      H1:μ>52.6

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size 87 with mean 53.5 and a standard deviation of 7.2.

What is the test statistic for this sample? (Report answer accurate to 3 decimal places.)


What is the p-value for this sample? (Report answer accurate to 4 decimal places.)


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 conclude that the population mean is equal to 52.6.
  • there is not sufficient evidence to conclude that the population mean is equal to 52.6.
  • there is sufficient evidence to conclude that the population mean is greater than 52.6.
  • there is not sufficient evidence to conclude that the population mean is greater than 52.6.
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