t0 tn1 The null hypothesis cancannot be rejected SolutionF

t0 =

t,n-1 =

The null hypothesis cancannot be rejected

Solution

Formulating the null and alternative hypotheses,              
              
Ho:   u   <=   1  
Ha:    u   >   1  
              
As we can see, this is a    right   tailed test.      
Getting the test statistic, as              
              
X = sample mean =    1.118          
uo = hypothesized mean =    1          
n = sample size =    20          
s = standard deviation =    0.345          
              
Thus, t0 = (X - uo) * sqrt(n) / s =    1.529600124   [ANSWER, t0]

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Thus, getting the critical t,              
df = n - 1 =    19          

t(alpha, n-1) = 2.539483191 [ANSWER, CRITICAL VALUE]

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Comparing t < 2.5394, we   FAIL TO REJECT THE NULL HYPOTHESIS.

Thus, the null hypothesis CANNOT be rejected. [CONCLUSION]