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22 February, 08:47

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.

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Answers (1)
  1. 22 February, 12:09
    0
    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.
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