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586

Chapter 13: Confidence Intervals – Small Samples

we will use the

Critical

-values

workbook to find

-values for typical

values.

Example 13-1:

What is the value of

?

Solution:

Using the workbook, enter the value of 10 as the degrees of

freedom. Note that 5%

0.05. So from the workbook,

= 1.8125 to

four decimal places.

Figure 13-3

shows the resulting display from the

Critical

t

-values

workbook.

Figure 13-3:

Display with

Example 13-2:

What is the value of

?

Solution:

We can use the symmetric property of the

-distribution to find

. Since 0.95 area is to the right of this

-value then the value must be

negative. Also, since 0.05 area is to the left of this

-value, then

-

= - 1.8125. We can also use the

-distribution workbook to obtain

the answer.

Figure 13-4

shows the result.

Figure 13-4:

Display with