hypothesis test reject or accept Ho a to f complete allSolu

hypothesis test reject or accept Ho a ) to f) complete all

Solution

a)

Formulating the null and alternative hypotheses,              
              
Ho:   u   =   160  
Ha:    u   =/   160   [ANSWER]

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b)

We use z, as n > 30. [ANSWER]

              
Thus, z = (X - uo) * sqrt(n) / sigma [ANSWER]
              
As we can see, this is a    two   tailed test.  
  
              
Thus, getting the critical z, as alpha =    0.05   ,      
alpha/2 =    0.025          
zcrit =    +/-   1.959963985   [ANSWER, CRITICAL VALUE]

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c)

Here,

Significance = 0.05 [ANSWER]
Confidence = 1-0.05 = 0.95 [ANSWER]  
              
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D)  

Getting the test statistic, as              
              
X = sample mean =    169          
uo = hypothesized mean =    160          
n = sample size =    36          
sigma = standard deviation =    30          
              
Thus, z = (X - uo) * sqrt(n) / sigma =    1.8   [ANSWER, TEST STATISTIC]  

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e)

Also, the p value is, as it is two tailed,              
              
p =    0.071860638   [ANSWER]

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f)      
              
As P > 0.05, we accept Ho. [ANSWER]

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