Response:
Detailed explanation:
a) this situation has a two-tailed test
The critical value is found using the t distribution table.
α = 1 - 0.95 = 0.05
1 - α/2 = 1 - 0.05/2 = 1 - 0.025 = 0.975
Consulting 0.975 with df 10
The critical value obtained is 2.228
b) α = 1 - 0.95 = 0.05
1 - α/2 = 1 - 0.05/2 = 1 - 0.025 = 0.975
Consulting 0.975 with df 20
The critical value obtained is 2.086
c) α = 1 - 0.99 = 0.01
1 - α/2 = 1 - 0.01/2 = 1 - 0.005 = 0.995
Consulting 0.995 with df 20
The critical value obtained is 2.845
d) α = 1 - 0.99 = 0.01
1 - α/2 = 1 - 0.01/2 = 1 - 0.005 = 0.995
Consulting 0.995 with df 60
The critical value obtained is 2.660
e) 1 - α = 1 - 0.01 = 0.99
Consulting 0.99 with df 10
The critical value obtained is 2.764
f) 1 - α = 1 - 0.025 = 0.975
Consulting 0.975 with df 5
The critical value obtained is 2.571
