Do the data provide significant evidence at 3.5% level that population mean resp

Question

Do the data provide significant evidence at 3.5% level that population mean response after attending the presentation is larger than 4.7
There are 258 students Sample mean response 4.98 Sample standard deviation 1.62
Do the data provide significant evidence at 3.5% level that population mean response after attending the presentation is larger than 4.7
There are 258 students Sample mean response 4.98 Sample standard deviation 1.62

There are 258 students Sample mean response 4.98 Sample standard deviation 1.62

Explanation / Answer

Formulating the null and alternative hypotheses,              
              
Ho:   u   <=   4.7  
Ha:    u   >   4.7  
              
As we can see, this is a    right   tailed test.      
              
Thus, getting the critical z, as alpha =    0.035   ,      
alpha =    0.035          
zcrit =    +   1.811910673      
              
Getting the test statistic, as              
              
X = sample mean =    4.98          
uo = hypothesized mean =    4.7          
n = sample size =    258          
s = standard deviation =    1.62          
              
Thus, z = (X - uo) * sqrt(n) / s =    2.776213551          
              
Also, the p value is              
              
p =    0.002749804          
              
As z > 1.8119 (or, P < 0.035), we REJECT HO.

Thus, there is significant evidence that the population mean response after attending the presentation is larger than 4.7. [CONCLUSION]

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