Question

In: Statistics and Probability

You wish to test the following claim (HaHa) at a significance level of α=0.02.       Ho:μ=65.2Ho...

You wish to test the following claim (HaHa) at a significance level of α=0.02.

      Ho:μ=65.2Ho
      Ha:μ>65.2Ha

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 Column E
80 46 68.7 75.4 46
102 91.7 71 80.4 81.3
64.8 89.7 55.4 73 62.1
49.2 67.7 62.9 62.9 70.4
62.1 91.7 62.1 86.7 90.7
66.6 96 75.4 54.7 67
89.7 80 65.9 51.4 85.4
83.7 76.2 56.7 74.1 91.7
82.7 51.4 55.4 43.7 55.4
91.7 61.2 78.4 49.2 64.1



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 65.2.
  • _____There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 65.2.
  • _____The sample data support the claim that the population mean is greater than 65.2.
  • _____There is not sufficient sample evidence to support the claim that the population mean is greater than 65.2.

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