question help me find the answers for this homework thanks a

question

help me find the answers for this homework ..thanks alot

Solution

1.

As

SS = 6000

Then

s = standard deviation = sqrt(SS/(n-1)) = 20

Formulating the null and alternative hypotheses,              
              
Ho:   u   =   81  
Ha:    u   =/   81  
              
As we can see, this is a    two   tailed test.      
              
Thus, getting the critical t,              
df = n - 1 =    15          
tcrit =    +/-   2.131449546      
              
Getting the test statistic, as              
              
X = sample mean =    85          
uo = hypothesized mean =    81          
n = sample size =    16          
s = standard deviation =    20          
              
Thus, t = (X - uo) * sqrt(n) / s =    0.8          
              
Also, the p value is              
              
p =    0.436197939          
              
Comparing t and tcrit (or, p and significance level), we   FAIL TO REJECT THE NULL HYPOTHESIS.          
Thus, there is no significant evidence that there is a change in holiday spending.

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