Tables show that the 95% critical values for some t distributions are
(to 2 dp) as follows:
df 6 9 12 20 30
critical values ±2.45 ±2.26 ±2.18 ±2.09 ±2.04
Use statistical tables or the TINV function in EXCEL to find the critical
values for the t distribution with the following degrees of freedom
5 8 15 18 24 60 120
Combine the two tables, and use these to investigate the limit of these
critical values as the number of degrees of freedom tends to infinity.
Briefly comment on why would we should expect ±1.96 to be the limit
here.
2. Adapt the combined table in Q2 to show the 90% and 99% critical
values for these degrees of freedom, and comment on the limits in these
cases
(to 2 dp) as follows:
df 6 9 12 20 30
critical values ±2.45 ±2.26 ±2.18 ±2.09 ±2.04
Use statistical tables or the TINV function in EXCEL to find the critical
values for the t distribution with the following degrees of freedom
5 8 15 18 24 60 120
Combine the two tables, and use these to investigate the limit of these
critical values as the number of degrees of freedom tends to infinity.
Briefly comment on why would we should expect ±1.96 to be the limit
here.
2. Adapt the combined table in Q2 to show the 90% and 99% critical
values for these degrees of freedom, and comment on the limits in these
cases