Use the Student's
t
-distribution to find the
t
-value for each of the given scenarios. Round
t
-values to four decimal places.
Find the value of
t
such that the area in the left tail of the
t
-distribution is 0.0005, if the sample size is 24.

t
=


Find the value of
t
such that the area in the right tail of the
t
-distribution is 0.1, if the sample size is 28.

t
=


Find the value of
t
such that the area in the right tail of the
t
-distribution is 0.01, if the sample size is 32.

t
=


Find the two values of
t
such that 99.9% of the area under the
t
-distribution is centered around the mean, if the sample size is 44. Enter the solutions using a comma-separated list.

t
=