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3 years ago

Please help with this math problem:)

Mathematics

1 answer:

xenn [34]3 years ago

4 0

Answer:

See SBS Explanation

Step-by-step explanation:

1. Produces a number that can be classified as an Irrational number.

A: Square root of 2.

2. Produces a number that an be classified as a Rational number.

A: Square root of 4.

3. Rational number that can be classified as an integer.

A: Negative 2/1 (-2/1)

4. Rational number that produces a repeating decimal.

A: 5/9 (Decimal is 0.5 repeating or 0.555....)

5. Rational number that produces a terminating decimal.

A: 1/4 (Decimal is 0.25)

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Answer:

CI = (70.861 , 94.418)

Step-by-step explanation:

In order to determine the 90% confidence interval you use the following formula (for a population approximately normal):

$CI=(\overline{x}-Z_{\alpha/2}\frac{\sigma}{\sqrt{n}},\overline{x}+Z_{\alpha/2}\frac{\sigma}{\sqrt{n}})$ (1)

$\overline{x}$ : mean = 82.64

σ: standard deviation = 14.32

n: sample = 4

α: tail area = 1 - 0.9 = 0.1

Z_α/2 = Z_0.05: Z factor = 1.645

You replace these values and you obtain:

$Z_{0.05}(\frac{14.32}{\sqrt{4}})=(1.645)(\frac{14.32}{\sqrt{4}})=11.778$

The confidence interval will be:

$CI=(82.64-11.778,82.64+11.778)=(70.861,94.418)$

The 90% confidence interval is (70.861 , 94.418)

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