Perform a one-tailed test. Then fill in the table below. Carry your intermediate

Question

Perform a one-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. (If necessary, consult a list of formulas.)

The null hypothesis: Ho:

The atlernative hypothese: H1:

The type of test statistic:

The value of the test statistic: (round to at leat three decimal places)

The critical value at the 0.1 level of significance:(round to at leat three decimal places)

Can we support the claim that the man completion time has decresed under new management ?

Explanation / Answer

Formulating the null and alternative hypotheses,              
              
Ho:   u   >=   14   [ANSWER]
H1:    u   <   14   [ANSWER]

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As n > 30, and sigma is known, we use Z STATISTIC. [ANSWER]

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As we can see, this is a    left   tailed test.      

Getting the test statistic, as              
              
X = sample mean =    13.9          
uo = hypothesized mean =    14          
n = sample size =    32          
s = standard deviation =    1.1          
              
Thus, z = (X - uo) * sqrt(n) / s =    -0.514259477   [ANSWER, TEST STATISTIC]

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Thus, getting the critical z, as alpha =    0.1   ,      
alpha =    0.1          

By technology,

zcrit = -1.282 [ANSWER]

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As z > -1.282, we   FAIL TO REJECT THE NULL HYPOTHESIS.  

Hence, we CANNOT support the claim that the mean completion time has decresed under new management. [CONCLUSION]      

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