The true average diameter of ball bearings of a certain type is supposed to be 0.5 in. A one-sample t test will be carried out to see whether this is the case. What conclusion is appropriate in each ofthe following situations?In USE SALT(a) n = 19, t = 1.5, a = 0.05Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in.Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in.Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in.O Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in.(b)n = 19, t = -1.5, a = 0.05O Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in.Reject the nulI hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in.Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in.Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in.(c)n = 30, t = -2.44, a = 0.01Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in.Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in.Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in.Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in.(d)n =30, t = -3.89, a = 0.05Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in.Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in.Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in.Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in.

Denote μ as the true average diameter of ball bearings.

The true average diameter of ball bearings of a certain type is supposed to be 0.5 in. A one-sample t test will be caried out to see whether this is the case. What conclusion is appropriate in each of the following situations? In USE SALT (a) n= 19, t = 1.5, a = 0.05 O Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. O Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. O Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. O Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. (b) n= 19, t = -1.5, a = 0.05 O Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. O Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. O Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. O Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. (c) n= 30, t = -2.44, a = 0.01 O Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. O Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. O Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. O Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. (d) n = 30, t = -3.89, a = 0.05 O Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. O Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. O Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. O Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in.