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 (H1) at a significance level of α=0.10.

      Ho:μ=80.4
      H1:μ>80.4

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=63 with mean M=86.8 and a standard deviation of SD=17.6.

What is the test statistic for this sample? (Report answer accurate to four 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 greater than 80.4.
  • There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 80.4.
  • The sample data support the claim that the population mean is greater than 80.4.
  • There is not sufficient sample evidence to support the claim that the population mean is greater than 80.4.
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