You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ=85.7Ho:μ=85.7 Ha:μ



You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01.


      Ho:μ=85.7Ho:μ=85.7
      Ha:μ<><>


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









































data
81.5
87.9
81.1
82.1
68.3
67.2
95.1
90.3
82.3
80.1
86.9




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


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


The test statistic is...


  • in the critical region

  • not in the critical region






This test statistic leads to a decision to...


  • reject the null hypothesis

  • accept the null hypothesis

  • fail to reject the null hypothesis






As such, the final conclusion is that...


  • There is enough evidence to show that the population mean is not less than 85.7.

  • There is not enough evidence to show that the population mean is not less than 85.7.

  • There is enough evidence to show that the population mean is less than 85.7.

  • There is not enough evidence to show that the population mean is less than 85.7.







Jun 09, 2022
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