Question

Find the critical values using the information in the table.

set	Hypothesis	α	df
a)	μ − μ0 > 0	0.01	14
b)	μ − μ0 < 0	0.025	20
c)	μ − μ0 < 0	0.10	12
d)	μ − μ0 > 0	0.05	27

a) critical value:

b) critical value:

c) critical value:

d) critical value:

Answer 1

a) For right tailed test μ − μ₀ > 0,

At α = 0.01, critical value is

b) For left tailed test μ − μ₀ < 0,

At α = 0.025, critical value is

c) For left tailed test μ − μ₀ < 0,

At α = 0.10, critical value is

d) For right tailed test μ − μ₀ > 0,

At α = 0.05, critical value is

We used R software, for , the command is