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KATRIN_1 [288]
4 years ago
13

Help???????????????????

Mathematics
1 answer:
White raven [17]4 years ago
4 0
First get a common denominator. (3x*2)
x(x-8) -3(3x)
-------------------
3x^2

x^2 - 8x - 9x
------------------
3x^2

x^2 - 17x
--------------
3x^2
The first one is correct

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Answer:

a) The standard error would be of 8.58 pounds.

b) The margin of error is 14.11 pounds.

c) The 90% confidence interval for the population mean is between 232.89 pounds and 261.11 pounds

Step-by-step explanation:

a.What is the standard error?

The standard error is

s = \frac{\sigma}{\sqrt{n}}

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

s = \frac{47}{\sqrt{30}} = 8.58

The standard error would be of 8.58 pounds.

b.What is the margin of error at 90% confidence?

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*s = 1.645*8.58 = 14.11

The margin of error is 14.11 pounds.

c. Using my sample of 30, what would be the 90% confidence interval for the population mean?

Lower bound: Sample mean subtracted by the margin of error.

247 - 14.11 = 232.89 pounds

Upper bound

247 + 14.11 = 261.11 pounds

The 90% confidence interval for the population mean is between 232.89 pounds and 261.11 pounds

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