Select one A B C D E F None of the above answers is correct

Select one:

A.

B.

C.

D.

E.

F. None of the above answers is correct

2.

Select one:

A. 1.645

B. -1.645

D. 1.717

E. -1.717

G. None of the above answers is correct

3.

Select one:

A. 2.51

B. -2.51

C. 2.21

D. -2.21

F. None of the above answers is correct

4.

based on the test statistic and critical value(s) of test statistic, what statement should be made about the null hypothesis?

Select one:

A. Reject null hypothesis.

B. Don\'t reject null hypothesis.

C. There is not enough information to determine whether null hypothesis should be rejected.

D. None of the above answers is correct.

5.

what specific conclusion can be drawn based on the test statistic and critical value(s) of test statistic and whether null hypothesis should be rejected?

Select one:

A. the average value of the orders has increased.

B. the average value of the orders has decreased.

C. the average value of the orders has changed.

D. there in not enough information to make any statement about the average value of the orders.

E. None of the above answers is correct

HO: > 471

H1: 471

Solution

1.

Formulating the null and alternative hypotheses,              
              
Ho:   u   >=   471  
Ha:    u   <   471   [OPTION E]

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2.
              
As we can see, this is a    left   tailed test.      
              
Thus, getting the critical t,              
df = n - 1 =    22          
tcrit =    -1.717 [ANSWER, E]

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3.      
              
Getting the test statistic, as              
              
X = sample mean =    450          
uo = hypothesized mean =    471          
n = sample size =    23          
s = standard deviation =    45.5          
              
Thus, t = (X - uo) * sqrt(n) / s =    -2.21 [ANSWER, D]

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4.

As |t| > 1.717, we   REJECT THE NULL HYPOTHESIS.   [OPTION A]

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5.

OPTION B: B. the average value of the orders has decreased.