Question

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

Ho:μ=54.9Ho:μ=54.9
Ha:μ<54.9Ha:μ<54.9

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=12n=12 with mean ¯x=50.5x¯=50.5 and a standard deviation of s=8.9s=8.9.

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 less than 54.9.
   • There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 54.9.
   • The sample data support the claim that the population mean is less than 54.9.
   • There is not sufficient sample evidence to support the claim that the population mean is less than 54.9.

Answer 1