Please help and explain how you got to the answer you didSol

Please help and explain how you got to the answer you did.

Solution

Formulating the null and alternative hypotheses,              
              
Ho:   u   <=   1305  
Ha:    u   >   1305  
              
As we can see, this is a    right   tailed test.      
              
Thus, getting the critical t,              
df = n - 1 =    8          
tcrit =    +   1.859548038      
              
Getting the test statistic, as              
              
X = sample mean =    1309.888889          
uo = hypothesized mean =    1305          
n = sample size =    9          
s = standard deviation =    16.98855824          
              
Thus, t = (X - uo) * sqrt(n) / s =    0.863326155          
              
Also, the p value is              
              
p =    0.206545459          
              
Comparing t and tcrit (P > 0.05), we   FAIL TO REJECT THE NULL HYPOTHESIS.          

Thus, there is no significant evidence that the average density level is greater than 1305. [CONCLUSION]