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Dovator [93]
3 years ago
9

Fill in the blank with the correct response. 11 ft = ____in.

Mathematics
2 answers:
a_sh-v [17]3 years ago
6 0

Answer:

132in

Step-by-step explanation:

Svetllana [295]3 years ago
5 0

Answer:

132 inches

Step-by-step explanation:

We need to multiply both units together; there are 12 inches in a foot and 11 feet. Therefore:

11x12=132

132 inches

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Using the z-distribution, it is found that the needed sample sizes are:

a) 242

b) 1842

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which z is the z-score that has a p-value of \frac{1+\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

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Item a:

The estimate is:

\pi = 0.223 - 0.189 = 0.034

The sample size is <u>n for which M = 0.03</u>, then:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 2.575\sqrt{\frac{0.034(0.966)}{n}}

0.03\sqrt{n} = 2.575\sqrt{0.034(0.966)}

\sqrt{n} = \frac{2.575\sqrt{0.034(0.966)}}{0.03}

(\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.034(0.966)}}{0.03}\right)^2

n = 241.97

Rounding up, a sample of 242 is needed.

Item b:

No prior estimates, hence \pi = 0.5 is used.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 2.575\sqrt{\frac{0.5(0.5)}{n}}

0.03\sqrt{n} = 2.575\sqrt{0.5(0.5)}

\sqrt{n} = \frac{2.575\sqrt{0.5(0.5)}}{0.03}

(\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.5(0.5)}}{0.03}\right)^2

n = 1841.8

Rounding up, a sample of 1842 is needed.

For more on the z-distribution, you can check brainly.com/question/25404151

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