You wish to test the following claim (HaHa) at a significance level of α=0.01 Ho:μ=84.8 Ha:μ


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


      Ho:μ=84.8
      Ha:μ<>


You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=5 with a mean of M=74and a standard deviation of SD=16.1.


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

  • 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 less than 84.8.

  • There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 84.8.

  • The sample data support the claim that the population mean is less than 84.8.

  • There is not sufficient sample evidence to support the claim that the population mean is less than 84.8.




Jun 03, 2022
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