wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002.       Ho:μ=67.2Ho:μ=67.2       Ha:μ>67.2Ha:μ>67.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=16n=16 with mean M=75.2M=75.2 and a standard deviation of SD=9.4SD=9.4. 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...

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002.

      Ho:μ=67.2Ho:μ=67.2
      Ha:μ>67.2Ha:μ>67.2

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=16n=16 with mean M=75.2M=75.2 and a standard deviation of SD=9.4SD=9.4.

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 greater than 67.2.
  • There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 67.2.
  • The sample data support the claim that the population mean is greater than 67.2.
  • There is not sufficient sample evidence to support the claim that the population mean is greater than 67.2.
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