test the following claim

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005.

      Ho:μ=63.4Ho:μ=63.4
      Ha:μ≠63.4Ha:μ≠63.4

You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:

data
48
40.9
58.5
31.8



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 63.4.
  • There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 63.4.
  • The sample data support the claim that the population mean is not equal to 63.4.
  • There is not sufficient sample evidence to support the claim that the population mean is not equal to 63.4.
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