You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02. Ho:μ=77.3Ho:μ=77.3 Ha:μ≠77.3Ha:μ≠77.3 You believe the population is normally distributed, but you do not know the...



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


      Ho:μ=77.3Ho:μ=77.3
      Ha:μ≠77.3Ha:μ≠77.3


You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=89n=89 with mean M=75.7M=75.7 and a standard deviation of SD=16.4SD=16.4.


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 77.3.

  • There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 77.3.

  • The sample data support the claim that the population mean is not equal to 77.3.

  • There is not sufficient sample evidence to support the claim that the population mean is not equal to 77.3.







Jun 04, 2022
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