In
this worksheet you will learn to use the function "TDIST".
This
function is the t-distribution equivalent of the function "NORMSDIST" .
Here are the information about "TDIST " from the Excel Help:
TDIST
Returns the Percentage Points (probability)
for the Student t-distribution where a numeric value (x) is a calculated
value of t for which the Percentage Points
are to be computed. The t-distribution is used in the hypothesis testing
of small sample data sets. Use this function
in place of a table of critical values for the t-distribution.
Syntax
TDIST(x,degrees_freedom,tails)
X is the numeric value at which to evaluate the distribution.
Degrees_freedom is an integer indicating the number of degrees of freedom.
Tails specifies the number of distribution tails to return. If tails = 1, TDIST returns the one-tailed distribution. If tails = 2, TDIST returns the two-tailed distribution.
Remarks
If any argument is nonnumeric, TDIST returns
the #VALUE! error value.
If degrees_freedom < 1, TDIST returns
the #NUM! error value.
The degrees_freedom and tails arguments are
truncated to integers.
If tails is any value other than 1 or 2,
TDIST returns the #NUM! error value.
TDIST is calculated as TDIST = p( x<X ), where X is a random variable that follows the t-distribution.
Example
TDIST(1.96,60,2) equals 0.054645, or 5.46
percent
On row 1 of a new worksheet copy the row corresponding
to d.o.f. = 6 from the t-distribution
table at page T11 of the textbook. Then
on the row 3 recover the tail probabilities from the header of the
table using the function TDIST. You should
get a table like:
Note! As you observe the values computed in row 3
are slightly different from the probabilities listed in the header row of
the table T11. These differences are
due to the 3 decimals approximations used in listing the t-values.
You may use the function TIINV to compute the t-values with
better precision. See Exercise 7.16 .
You should use the
function TDIST to compute the exact P-values
of tests for small SRS taken from populations with approximately
normal distributions.
Questions:
Hand in one page Excel printout containing:
1) a table like above.
2) the exact answer to Ex. 7.13 (e) in the cell A5 (with 5 decimals).
3) the exact answer to Ex. 7.14 (c) in the cell A7 (with 5 decimals).