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IRISSAK [1]
3 years ago
11

Kareen correctly answered 85% of the questions on his math test. If he answered 34

Mathematics
1 answer:
Levart [38]3 years ago
6 0

Answer:

40

Step-by-step explanation:

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The concentration of carbon monoxide (CO) in a gas sample is measured by a spectrophotometer and found to be 85 ppm. Through lon
alukav5142 [94]

Answer:

The confidence interval is (85 - \frac{14.81}{\sqrt{n}},85 + \frac{14.81}{\sqrt{n}}), in which n is the size of the sample.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.645\frac{9}{\sqrt{n}} = \frac{14.81}{\sqrt{n}}

The lower end of the interval is the sample mean subtracted by M. So it is 85 - \frac{14.81}{\sqrt{n}}

The upper end of the interval is the sample mean added to M. So it is 85 + \frac{14.81}{\sqrt{n}}

The confidence interval is (85 - \frac{14.81}{\sqrt{n}},85 + \frac{14.81}{\sqrt{n}}), in which n is the size of the sample.

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Hope this helps you understand

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Read 2 more answers
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