We have constructed a 95% confidence interval for the population mean income

for the neighborhood. The confidence interval is ($15,040, $15,300). In order to

be eligible for government aid, a neighborhood must have an average income of

$15,000 or less. Based upon the confidence interval we can conclude that the

neighborhood is:

a. Definitely not eligible for aid.

b. Probably not eligible for aid.

c. Probably eligible for aid.

d. Definitely eligible for aid.

e. None of the above answers is correct.

Question

Mathematics

Downs

13 December, 09:57

We have constructed a 95% confidence interval for the population mean income

for the neighborhood. The confidence interval is ($15,040, $15,300). In order to

be eligible for government aid, a neighborhood must have an average income of

$15,000 or less. Based upon the confidence interval we can conclude that the

neighborhood is:

a. Definitely not eligible for aid.

b. Probably not eligible for aid.

c. Probably eligible for aid.

d. Definitely eligible for aid.

e. None of the above answers is correct.

+3

Answers (1)

Know the Answer?

Jacobs · Answer 1

Consider the following calculations

Step-by-step explanation:

We have constructed a 95% confidence interval for the population mean income

for the neighborhood. The confidence interval is ($15,040, $15,300). In order to

be eligible for government aid, a neighborhood must have an average income of

$15,000 or less. Based upon the confidence interval we can conclude that the

neighborhood is:

a. Definitely not eligible for aid.

b. Probably not eligible for aid.

answer: c. Probably eligible for aid.

d. Definitely eligible for aid.

e. None of the above answers is correct.

$15000 is less than the lower limit of the 95% CI. We are 95% confident that population mean income falls in the interval ($15,040, $15,300). $15000 is less than the population mean income.