A company is researching the effectiveness of a new website design to decrease t

Question

A company is researching the effectiveness of a new website design to decrease the time to access a website. Five website users were randomly selected, and their times (in seconds) to access the website with the old and new designs were recorded. To compare the times, they computed new website design time old website design time. The results follow.

For a 0.01 significance level, what is the critical value?

Multiple Choice

2.256

2.447

3.747

1.895

Explanation / Answer

The degrees of freedom here for the test here is computed as:

DF = min(n1 - 1, n2 - 1) = min ( 4, 4) = 4

For 4 degrees of freedom, we get from the t distribution tables that: ( for a one tailed test )

P( t4 < -3.747 ) = 0.01

Therefore -3.347 is the required critical value here.

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