Use the pvalue approach to conduct the test at a 5 level of

Use the p-value approach to conduct the test at a 5% level of significance.

Use the following table:

Find the mean and the standard deviation. (Round intermediate calculations to 4 decimal places. Round your answers to 2 decimal places.)

Calculate the value of the test statistic. (Round intermediate calculations to 4 decimal places. Round your answer to 2 decimal places.)

Approximate the p-value of the test statistic.

Solution

A)

Using technology,

X = sample mean =    16.14285714          
s = standard deviation =    4.01781746 [ANSWERS]

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B)

              
Getting the test statistic, as              
              
X = sample mean =    16.14285714          
uo = hypothesized mean =    16          
n = sample size =    7          
s = standard deviation =    4.01781746          
              
Thus, t = (X - uo) * sqrt(n) / s =    0.094072087 [ANSWER]

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c)

Using a table, as df = n - 1 = 7 - 1 = 6,

P > 0.20. [ANSWER]

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d)

As P > 0.05, we

DO NOT REJECT HO SINCE THE P VALUE IS GREATER THAN ALPHA.