You wish to test the following claim (HaHa) at a significancelevel of ?=0.005?=0.005.

Ho:?1=?2Ho:?1=?2
Ha:?1

You believe both populations are normally distributed, but youdo not know the standard deviations for either. And you have noreason to believe the variances of the two populations are equalYou obtain a sample of size n1=10n1=10 with a mean of¯x1=70.4x¯1=70.4 and a standard deviation of s1=5.5s1=5.5 from thefirst population. You obtain a sample of size n2=13n2=13 with amean of ¯x2=91x¯2=91 and a standard deviation of s2=19.1s2=19.1from the second population.

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? For this calculation, use.
   
   p-value =  Use Technology Round to 4 decimalplaces.
   
3. The p-value is...
   • less than (or equal to) ??
   • greater than ??
   
   
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 claimthat the first population mean is less than the second populationmean.
   • There is not sufficient evidence to warrant rejection of theclaim that the first population mean is less than the secondpopulation mean.
   • The sample data support the claim that the first populationmean is less than the second population mean.
   • There is not sufficient sample evidence to support the claimthat the first population mean is less than the second populationmean.