3 years ago

Plz help ASAP!!!!!!!!!

1 answer:

N76 [4]3 years ago

6 0

2. angle one congruent to angle two
3. angle congruence postulate
4. measure angle 2 is 90°
6. definition of right triangle

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The need to sample 76 days.

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:

$\alpha = \frac{1-0.99}{2} = 0.005$

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 $1-0.005 = 0.995$ , so $z = 2.575$

Now, find the margin of error M as such

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

How many days do they need to sample

We need to sample n days.

n is found when M = 300.

We have that $\sigma = 1010$

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

$300 = 2.575*\frac{1010}{\sqrt{n}}$

$300\sqrt{n} = 2.575*1010$

$\sqrt{n} = \frac{2.575*1010}{300}$

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$n = 75.1$

Rounding up

The need to sample 76 days.

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