Question 4 What is the critical z value? Flag this Question Question 5 What is t

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Question 4

What is the critical z value?

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Question 5

What is the standard error of the sample mean?

Question 6

What is the z-value you calculate for these data?

Question 7

What conclusion do you draw?

Reject the null hypothesis and conclude that the treatment does not have a significant effect.

Fail to reject the null hypothesis and conclude that performance is significantly higher.

Reject the null hypothesis and conclude that the treatment has a significant effect.

Reject the null hypothesis and conclude that the treatment does not have a significant effect.

Explanation / Answer

4.

Formulating the null and alternative hypotheses,              
              
Ho:   u   <=   100  
Ha:    u   >   100  
              
As we can see, this is a    right   tailed test.      
              
Thus, getting the critical z, as alpha =    0.01   ,      
alpha =    0.01          
zcrit =    +   2.326347874   [ANSWER]

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5.  

SE = sigma/sqrt(n) = 18/sqrt(36) = 3 [ANSWER]

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6.
              
Getting the test statistic, as              
              
X = sample mean =    104          
uo = hypothesized mean =    100          
n = sample size =    36          
s = standard deviation =    18          
              
Thus, z = (X - uo) * sqrt(n) / s =    1.333333333 [ANSWER]

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7.          
              
As z < 2.326, we   FAIL TO REJECT THE NULL HYPOTHESIS.

OPTION D: Fail to reject the null hypothesis and conclude that performance is not significantly higher. [ANSWER]          

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