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AP Statistics

Using and Finding “Student’s

t ”

Finding Critical Values using a

Calculator

• (^) Find the DISTR (

nd

VARS)

• (^) Remember invNorm? Well, now look for

invT ** If you have a TI-83 then you need

to come see me. You do not have this on

yours

• (^) You will need to specify the percentile you

are looking for AND the df

▫For example: if we have 6 degrees of

freedom and we want to make a 95% CI

Using t tables and your calculator,

estimate:

the critical

value of t for

a 90%

confidence

interval with

df=

The Critical

value is

Do you get 0.049964616573?

Using t tables and your calculator,

estimate:

the critical

value of t for

a 98%

confidence

interval with

df=

• The

Critical

value is

Did you get 0.

Using t tables and your calculator,

estimate:

the P-value

for the

absolute

value of t is

greater than

1.78 with 22

degrees of

The P-value

is.

Using t tables and your calculator,

estimate:

the critical

value of t for

a 95%

confidence

interval with

df=

The

critical

value is

Using t tables and your calculator,

estimate:

the P-value

for t ≤2.

with 41

degrees of

freedom

The P-value

is.

Using t tables and your calculator,

estimate:

the P-value

for the

absolute

value of t is

greater than

2.33 with 12

degrees of

The P-value

is.

Describe how the critical

value of t for a 95%

confidence interval

changes as the number of

degrees of freedom

increases.

The Critical value becomes smaller,

approaching 1.