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Elena-2011 [213]
4 years ago
6

Is 3 yards bigger than 21 feet

Mathematics
2 answers:
Aleks [24]4 years ago
7 0
Yes 3 yards is bigger than 21 feet
umka21 [38]4 years ago
5 0
Yes, 3 yards is bigger than 21 feet because there are 3 feet in a yard. 
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The GCF of 8x and 40 is 8.
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An IQ test is designed so that the mean is 100 and the standard deviation is 18 for the population of normal adults. Find the sa
melisa1 [442]

Answer:

At least 98 people need to be sampled. It is not a huge number, that is, it is not difficult to sample 98 people, so it is a reasonable sample size for a real world calculation.

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{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find the margin of error M as such

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

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In this question:

We need a sample size of at least n.

n is found when M = 3. We have that \sigma = 18.

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

3 = 1.645*\frac{18}{\sqrt{n}}

3\sqrt{n} = 1.645*18

Simplifying by 3

\sqrt{n} = 1.645*6

(\sqrt{n})^{2} = (1.645*6)^{2}

n = 97.41

Rounding up,

At least 98 people need to be sampled. It is not a huge number, that is, it is not difficult to sample 98 people, so it is a reasonable sample size for a real world calculation.

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