You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ1=μ2 Ha:μ1≠μ2 You believe both populations are normally distributed, but you do not know the standard...


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


      Ho:μ1=μ2
      Ha:μ1≠μ2


You believe both populations are normally distributed, but you do not know the standard deviations for either. However, assume that the variances of the two populations are equal. You obtain a sample of size n1=20n1=20 with a mean of ¯x1=55. and a standard deviation of SD1=11.3 from the first population. You obtain a sample of size n2=18 with a mean of ¯x2=48.3 and a standard deviation of SD2=7.2S  from the second population.


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 first population mean is not equal to the second population mean.

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

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

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




Jun 10, 2022
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