A reacher wants to test the claim that convicted burglars spend an average of 18.7 months in jail. She takes a random sample of 11 such cases from the court files and finds that

There is no evidence to warrant rejection of the claim that the mean is 18.7 months or no evidence to test the claim that convicted burglars spend an average of 18.7 months in jail.

Explanation:

From the question given, we recall the following,

The researcher takes a random sample of 11 such cases from the court files and finds that  ẋ is:

 When s = 7.8 months and  20.6 months

Let Test the claim that µ = 18.7 months, when the significance level is  at  0.05

significance level.

We apply the use the traditional method of testing hypotheses

H0: µ = 18.7 mo. H1: µ J 18.7 mo.

Test statistic: t = 0.81. Critical values: t = ±2.228. Fail to reject H0.

Therefore,

There is no evidence sufficient  to warrant rejection of the claim that the mean is 18.7 months