The computed value of the test statistic is The null hypothe

The computed value of the test statistic is:

The null hypothesis will be rejected if the computed value of the test statistic is greater than or equal to:

Solution

a)

Formulating the null and alternative hypotheses,              
              
Ho:   u   <=   3.5  
Ha:    u   >   3.5  
              
As we can see, this is a    right   tailed test.      
              
              
Getting the test statistic, as              
              
X = sample mean =    3.72          
uo = hypothesized mean =    3.5          
n = sample size =    8          
s = standard deviation =    1.25          
              
Thus, t = (X - uo) * sqrt(n) / s =    0.497803174 [ANSWER, test statistic]

************************  

b)

Thus, getting the critical t,              

df = n - 1 =    7          

alpha = 0.05

As we have a right tailed test, we reject Ho if the test statistic is greater than or equal to:

tcrit =    +   1.894578605   [ANSWER]

************************