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Wewaii [24]
3 years ago
12

Caroline served a ball over the net 16 out of 20 times.What percentage did she not make her serve over the net

Mathematics
2 answers:
kow [346]3 years ago
5 0
16-20= 4 so 4/20 is 0.2 or 20%. To get percentage move decimal to the right two times :)
enyata [817]3 years ago
4 0
16
----
20   to make 20 100 multiply by 5 as we multiply denominator we multiply numerator

16 x 5       80
--------- =  -----   so the answer is 80%
20 x 5      100


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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 Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find 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 = 1.96*\frac{58.6}{\sqrt{267}} = 7.03

The lower end of the interval is the sample mean subtracted by M. So it is 77 - 7.03 = 69.97g.

The upper end of the interval is the sample mean added to M. So it is 77 + 7.03 = 84.03g.

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