You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. Ho:μ=57.9Ho:μ=57.9 Ha:μ≠57.9Ha:μ≠57.9 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=0.002α=0.002.

Ho:μ=57.9Ho:μ=57.9

Ha:μ≠57.9Ha:μ≠57.9

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=40n=40 with mean ¯x=50.5x¯=50.5 and a standard deviation of s=13.3s=13.3.

1. What is the test statistic for this sample?
   
   
   
   test statistic = Round to 3 decimal places
   
   
   
   
   


2. What is the p-value for this sample?
   
   
   
   p-value = Use Technology Round to 4 decimal places.
   
   
   
   
   


3. The p-value is...
   
   
   

   
   
   • less than (or equal to) αα
   
   
   • greater than αα
   
   

   
   
   
   
   
   
   
   


4. This test statistic leads to a decision to...
   
   
   
   
   

   
   
   • reject the null
   
   
   • accept the null
   
   
   • fail to reject the null
   
   

   
   
   
   
   
   
   
   


5. 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 57.9.
   
   
   • There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 57.9.
   
   
   • The sample data support the claim that the population mean is not equal to 57.9.
   
   
   • There is not sufficient sample evidence to support the claim that the population mean is not equal to 57.9.