You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. Ho:μ=71.4Ho:μ=71.4 Ha:μ>71.4Ha:μ>71.4 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=0.05α=0.05.


      Ho:μ=71.4Ho:μ=71.4
      Ha:μ>71.4Ha:μ>71.4


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




























data
71.6
70.6
73.3
73
82.3
75.1





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 71.4.

  • There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 71.4.

  • The sample data support the claim that the population mean is greater than 71.4.

  • There is not sufficient sample evidence to support the claim that the population mean is greater than 71.4.




Jun 01, 2022
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