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storchak [24]
3 years ago
5

Suppose the parent population has an exponential distribution with a mean of 15 and standard deviation of 12. Use the Central Li

mit Theorem to describe the distribution of when drawing samples of size 30.
Mathematics
1 answer:
bazaltina [42]3 years ago
4 0

Answer:

The sampling distribution of the sample mean of size 30 will be approximately normal with mean 15 and standard deviation 2.19.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the population, we have that:

Mean = 15

Standard deviaiton = 12

Sample of 30

By the Central Limit Theorem

Mean 15

Standard deviation s = \frac{12}{\sqrt{30}} = 2.19

Approximately normal

The sampling distribution of the sample mean of size 30 will be approximately normal with mean 15 and standard deviation 2.19.

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Mumz [18]

Remark

Good thing to know. This is a rounding question.

A

Answer A is a bit nasty. I round 5 to the next highest number on the left. That may not be what you have been told to do. Let us round A to  5.7 and see if anything else does this.

B

Answer B rounds to 5.6

C

Answer C rounds to 5.6 as well. 3 is less than 5 so you round down.

D

Answer D rounds to 5.6(.) The zero has no effect on the 6.

Answer

Since there is nothing special about A and nothing else rounds to 5.7, the answer is A. So your rule is when the last number is 5, you round the second last number to one more than it was, regardless of the properties of the second last number.

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2 years ago
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y-b+am/m

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2 years ago
the radius of a circle is 5 meter what is the area,in square meter,of circle? Round to the nearest tenth
Slav-nsk [51]

Answer:

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Step-by-step explanation:

I did the math. And I did my work like this

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2 years ago
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A percent is a ratio of the ________ to the _______.
riadik2000 [5.3K]

Answer:

A percent is a ratio of the parts to the whole

Step-by-step explanation:

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MA_775_DIABLO [31]

Answer:

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Expression: 7p - 2.50

Step-by-step explanation:

First, create an expression to represent the cost:

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