Question

The life expectancy of a male during the course of the past 100 years is approximately 27,789
days. Use the table to the right to conduct a test using alpha equals=0.05 to determine whether the evidence suggests that chief justices live longer than the general population of males. Suggest a reason why the conclusion drawn may be flawed.

Table:

Chief Justice	Life Span (Days)	Chief Justice	Life Span (days)
A	27,280	I	32,407
B	29,301	J	26,836
C	30,057	K	32,964
D	28,206	L	32,719
E	32,954	M	29,707
F	30,024	N	28,819
G	31,299	O	31,804
H	32,292	P	27,089

-State the appropriate null and alternative hypotheses.

-Use the​ P-value approach at the alpha equals=0.05 level of significance to test the hypotheses.

P-Value:___

State the conclusion for the test. Choose the correct answer below.

A.Reject the null hypothesis. There is not sufficient evidence to conclude that the mean life span of males is longer than 27,789 days.​ Thus, there is not sufficient evidence to indicate that chief justices live longer than the general population of males.

B. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the mean life span of males is longer than 27,789 days.​ Thus, there is not sufficient evidence to indicate that chief justices live longer than the general population of males.

C. Do not reject the null hypothesis. There is sufficient evidence to conclude that the mean life span of males is longer than 30,235 days.​ Thus, there is sufficient evidence to indicate that chief justices live longer than the general population of males.

D. Reject the null hypothesis. There is sufficient evidence to conclude that the mean life span of males is longer than 27,789 days.​ Thus, there is sufficient evidence to indicate that chief justices live longer than the general population of males.

-Suggest a reason why the conclusion drawn may be flawed. Choose the correct answer below.

A. The sample size is very large and the data are normally distributed.

B.The sample consists of outliers.

C.The sampled values are not independent of each other.

D.The sample is not obtained using simple random sampling or from a randomized experiment.

Answer 1

from above p value =0.0002 ~0.000

D. Reject the null hypothesis. There is sufficient evidence to conclude that the mean life span of males is longer than 27,789 days.​ Thus, there is sufficient evidence to indicate that chief justices live longer than the general population of males.

2) D.The sample is not obtained using simple random sampling or from a randomized experiment.