Round your answers to three decimal places t0 tn1 The null

Round your answers to three decimal places.

t0 =

t,n-1 =

The null hypothesis ______ 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 =    1.13          
uo = hypothesized mean =    1          
n = sample size =    15          
s = standard deviation =    0.315          
              
Thus, t0 = (X - uo) * sqrt(n) / s =    1.598374079   [ANSWER, t0]

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Thus, getting the critical t, as alpha = 0.01,              
df = n - 1 =    14          
tcrit = 2.624494068   [ANSWER]

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As t0 < 2.6244, we   FAIL TO REJECT THE NULL HYPOTHESIS.   [Ho WILL NOT be rejected.]