You wish to test the following claim (H1H1) at a significance level of α=0.01α=0.01.       Ho:μ=63.6Ho:μ=63.6       Ha:μ≠63.6Ha:μ≠63.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: Column A Column B Column C Column D 45.2 60.3 41.2 15 15 64.9 68.4 44.4 52.5 60.3 63 56 1) What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = ± ______ 2) What is the test statistic for this sample? (Round intermediate values to 2 decimal places. Report answer accurate to three decimal places.) test statistic = _______ 3) The test statistic is... in the critical region not in the critical region 4) This test statistic leads to a decision to... reject the null accept the null fail to reject the null 5) 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 63.6. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 63.6. The sample data support the claim that the population mean is not equal to 63.6. There is not sufficient sample evidence to support the claim that the population mean is not equal to 63.6.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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You wish to test the following claim (H1H1) at a significance level of α=0.01α=0.01.

      Ho:μ=63.6Ho:μ=63.6
      Ha:μ≠63.6Ha:μ≠63.6

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

Column A Column B Column C Column D
45.2 60.3 41.2 15
15 64.9 68.4 44.4
52.5 60.3 63 56



1) What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value = ± ______

2) What is the test statistic for this sample? (Round intermediate values to 2 decimal places. Report answer accurate to three decimal places.)
test statistic = _______

3) The test statistic is...

  • in the critical region
  • not in the critical region



4) This test statistic leads to a decision to...

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

5) 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 63.6.
  • There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 63.6.
  • The sample data support the claim that the population mean is not equal to 63.6.
  • There is not sufficient sample evidence to support the claim that the population mean is not equal to 63.6.
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