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spayn [35]
3 years ago
15

RIGHT ANSWER WILL RECEIVE BRANLIEST, FIVE STARS, AND A THANKS

Mathematics
1 answer:
LekaFEV [45]3 years ago
8 0

Answer:

See below.

Step-by-step explanation:

An outlier can affect the mean by a lot.  For example, if my neighbor moves out and Bill Gates moves in (he would be a <u>super</u> outlier!), the mean annual income would increase enormously.

The median, on the other hand, would not change at all.  The income in the middle is still the income in the middle; Gates' income would not budge the median.

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4 years ago
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We need to sample at least 37 weeks of data.

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{1-0.98}{2} = 0.01

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So it is z with a pvalue of 1-0.01 = 0.99, so z = 2.327

Now, find the margin of error M as such

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

We want 98% confidence that the sample mean is within $500 of the population mean, and the population standard deviation is known to be $1300

This is at least n weeks, in which n is found when M = 500, \sigma = 1300

So

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

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