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Otrada [13]
3 years ago
12

The difference between the prediction interval and the confidence interval is that A. the prediction interval is narrower than t

he confidence interval. B. the prediction interval provides an interval estimation for the expected value of y while the confidence interval does it for a particular value of y. C. the prediction interval provides an interval estimation for a particular value of y while the confidence interval does it for the expected value of y. D. the confidence interval is wider than the prediction interval.
Mathematics
1 answer:
Kitty [74]3 years ago
8 0

Answer:

<em>The prediction interval provides an interval estimation for a particular value of y while the confidence interval does it for the expected value of y. </em>

Step-by-step explanation:

<em>A</em><em>. the prediction interval is narrower than the confidence interval.</em>

the prediction interval is always wider than the confidence interval.

<em>B</em><em>. the prediction interval provides an interval estimation for the expected value of y while the confidence interval does it for a particular value of y.</em>

False

<em>C</em><em>. the prediction interval provides an interval estimation for a particular value of y while the confidence interval does it for the expected value of y. </em>

<em>True</em>

<em>D.</em><em> the confidence interval is wider than the prediction interval.</em>

the prediction interval is  wider

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Given:

Either has a school certificate or diploma or even both = 20 people

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The number of people who have a school certificate only.

Solution:

Let A be the set of people who have school certificates and B be the set of people who have diplomas.

According to the given information, we have

n(A)=14

n(B)=11

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We know that,

n(A\cup B)=n(A)+n(B)-n(A\cap B)

20=14+11-n(A\cap B)

20=25-n(A\cap B)

Subtract both sides by 25.

20-25=-n(A\cap B)

-5=-n(A\cap B)

5=n(A\cap B)

We need to find the number of people who have a school certificate only, i.e. n(A\cap B').

n(A\cap B')=n(A)-n(A\cap B)

n(A\cap B')=14-5

n(A\cap B')=9

Therefore, 9 people have a school certificate only.

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