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Ksenya-84 [330]
3 years ago
8

An animal shelter has 4/5 of its crates filled with animals. 1/2 of the filled crates are holding cats. What fraction of the tot

al number of crates are holding cats?
Mathematics
2 answers:
stiks02 [169]3 years ago
7 0
4/10 or 40% of the crates are holding cats.
matrenka [14]3 years ago
5 0
It should be 2/5 because half of the 4/5 is cats
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Given info:

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The margin of error E is

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This is approximate and accurate to 6 decimal places.

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U = upper bound = xbar + E = 4.90 + 0.400982 = 5.300982 = 5.30

The confidence interval in the format of (L, U) is (4.50, 5.30)

You could also express it as the format L < mu < U and it would be 4.50 < mu < 5.30; however, I'll stick to the first method.

<h3>Answer:  (4.50, 5.30)</h3>

=====================================================

Part B

Since we know sigma = 2.6 is the population standard deviation, we can use a Z distribution now.

At 90% confidence, the z critical value is roughly 1.645; use a table or calculator to determine this.

n = \left(\frac{z*\sigma}{E}\right)^2\\\\n \approx \left(\frac{1.645*2.6}{0.03}\right)^2\\\\n \approx 20325.254444 \\\\

Round this up to the nearest integer to get 20326. For min sample size problems, <u>always</u> round up.

<h3>Answer: 20326</h3>
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