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Ipatiy [6.2K]
3 years ago
13

Explain the difference between an interval estimator and a point estimator for mu. Choose the correct answer below. A. A single

number calculated from the sample that estimates a target population parameter is called an interval estimator. A point estimator is a range of numbers that contain the target parameter with a high degree of confidence. B. A single number calculated from a population that estimates a target sample parameter is called a point estimator. An interval estimator is a range of numbers that contain the target parameter with a high degree of confidence. C. A single number calculated from the population that estimates a data value of the sample is called a point estimator. An interval estimator is a set of numbers estimating the range of a data set with a high degree of confidence. D. A single number calculated from the sample that estimates a target population parameter is called a point estimator. An interval estimator is a range of numbers that contain the target parameter with a high degree of confidence.
Mathematics
1 answer:
inna [77]3 years ago
4 0

Answer: D. A single number calculated from the sample that estimates a target population parameter is called a point estimator.

An interval estimator is a range of numbers that contain the target parameter with a high degree of confidence.

Step-by-step explanation:

When we evaluate an range of values for an unknown population parameter, then it is known as interval estimation .

A single number evaluated from the SAMPLE that estimates an unknown population parameter is known as a point estimator.

The general difference between point and interval estimator is the point estimator is a single value of target parameter while interval estimator is a range of numbers to estimate the values about the unknown population.

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Step 1: We make the assumption that 498 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x​.

Step 3: From step 1, it follows that $100\%=498$100%=498​.

Step 4: In the same vein, $x\%=4$x%=4​.

Step 5: This gives us a pair of simple equations:

$100\%=498(1)$100%=498(1)​.

$x\%=4(2)$x%=4(2)​.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

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$\frac{100\%}{x\%}=\frac{498}{4}$

100%

x%​=

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Step 7: Taking the inverse (or reciprocal) of both sides yields

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x%

100%​=

4

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$\Rightarrow x=0.8\%$⇒x=0.8%​

Therefore, $4$4​ is $0.8\%$0.8%​ of $498$498​.

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ivolga24 [154]

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