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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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ruslelena [56]

Answer:

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Step-by-step explanation:

6000 < w < 8000

Subtract 7000 from the three "sides."

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3 years ago
Three friends go to the local framers market. Latasha spends $3.35. Helen spends 4 times as much as Latasha. Dee spends $7.50 mo
mylen [45]

Given:

Latasha spends $3.35

Helen spends 4 times as much as Latasha.

Dee spends $7.50 more then Helen.

To find:

The amount Dee spends.

Solution:

It is given that, Latasha spends $3.35.

Helen spends 4 times as much as Latasha.

So, Helen spends = 4 × $3.35

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Dee spends $7.50 more then Helen.

Dee spends = $13.40+$7.50

                    = $20.90

Therefore, dee spends $20.90.

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3 years ago
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Papessa [141]
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Four times the square of a certain number increased by 6 times the number equals 108.find the number
slamgirl [31]
To effectively determine the correct answer, it would be helpful to write this into an algebraic expression. We let x as the number. We do as follows:

<span>Four times the square of a certain number increased by 6 times the number equals 108.

4x^2 + 6x = 108

The numbers can be either of the following since the equation generated was a quadratic equation which has two roots.
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Answer:

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Step-by-step explanation:

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