The average diameter of ball bearings of a certain type is supposed to be 0.5 inch. What conclusion is appropriate when testing H0: μ = 0.5 versus Ha: μ ≠ 0.5 inch in each of the following situations?...

The average diameter of ball bearings of a certain type is supposed to be 0.5 inch. What conclusion is appropriate when testing

H0: μ = 0.5
versus

Ha: μ ≠ 0.5 inch
in each of the following situations?

(a)

n = 11,
t = 1.8,
α = 0.05
reject H0

fail to reject H0

(b)

n = 11,
t = −1.8,
α = 0.05
reject H0

fail to reject H0

(c)

n = 26,
t = −2.7,
α = 0.01
reject H0

fail to reject H0

(d)

n = 26,
t = −3.6
reject H0 at any reasonable significance level

fail to reject H0 at any reasonable significance level