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Laabri

The Mean and Standard Deviation of a Sampling Distribution

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Last updated 5 months ago
20 Nsɛmmisa
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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

The distribution of a random variable (population) has a mean of 20 and a standard deviation of 8. Given a sampling distribution from a random sample of size 625, what would be the mean of the sampling distribution?

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

The distribution of a random variable (population) has a mean of 20 and a standard deviation of 8. Given a sampling distribution from a random sample of size 625, what would be the standard deviation of the sampling distribution?

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

The distribution of a random variable is strongly skewed left and has mean of 48 and a standard deviation of 6. Given a sampling distribution from a random sample of size 50, what would be the shape of the sampling distribution?

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

The distribution of a random variable is strongly skewed left and has mean of 48 and a standard deviation of 6. Given a sampling distribution from a random sample of size 100, what would be mean of the sampling distribution?

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

The distribution of a random variable is strongly skewed left and has mean of 48 and a standard deviation of 6. Given a sampling distribution from a random sample of size 100, what would be standard deviation of the sampling distribution?

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

If numerous samples of N = 36 are taken from a uniform distribution and a relative frequency distribution of the means is drawn, what would be the shape of the frequency distribution?

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

A normal distribution has a mean of 20 and a standard deviation of 10. If a sampling distribution is created with a sample size of 200, what is the standard deviation of the sampling distribution? Round to the thousandths (three decimal places).

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

A normal distribution has a mean of 20 and a standard deviation of 10. If a sampling distribution is created with a sample size of 200, what is the mean of the sampling distribution?

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

A variable is normally distributed with a mean of 120 and a standard deviation of 5. If a sampling distribution is created with a sample size of 200, what is the mean of the sampling distribution?

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

A variable is normally distributed with a mean of 120 and a standard deviation of 5. If a sampling distribution is created with a sample size of 100, what is the standard deviation of the sampling distribution?

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

A variable is normally distributed with a mean of 120 and a standard deviation of 5. If a sampling distribution is created with a sample size of 10, what is the shape of the sampling distribution?

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

The mean life span of a brand name tire is 50,000 miles. Assume that the life spans of the tires are normally distributed, and the population standard deviation is 800 miles. Given sampling distribution of size 600, what is the mean of the sampling distribution?

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

The mean life span of a brand name tire is 50,000 miles. Assume that the life spans of the tires are normally distributed, and the population standard deviation is 800 miles. Given sampling distribution of size 400, what is the standard deviation of the sampling distribution?

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

The number of eggs a female house fly lays during her lifetime is normally distributed with a mean of 800 eggs and a standard deviation of 100 eggs. Random samples of size 16 are drawn from this population and the mean of each sample is determined. Find the mean of the sampling distribution.

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

The number of eggs a female house fly lays during her lifetime is normally distributed with a mean of 800 eggs and a standard deviation of 100 eggs. Random samples of size 16 are drawn from this population and the mean of each sample is determined. Find the standard deviation of the sampling distribution.

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

The number of eggs a female house fly lays during her lifetime is normally distributed with a mean of 800 eggs and a standard deviation of 90 eggs. Random samples of size 36 are drawn from this population and the mean of each sample is determined. Find the standard deviation of the sampling distribution.

Asemmisa {{asɛmmisaAhyɛnsode}}
17.

X

0

1

2

3

4

P(X)

.15

.25

.10

.35

For the probability distribution above, find P(X=3).

Asemmisa {{asɛmmisaAhyɛnsode}}
18.

X

0

1

2

3

4

P(X)

.15

.25

.10

.35

For the probability distribution above, find P(X<3).

Asemmisa {{asɛmmisaAhyɛnsode}}
19.

X

0

1

2

3

4

P(X)

.15

.25

.10

.35

For the probability distribution above, find P(X>0).

Asemmisa {{asɛmmisaAhyɛnsode}}
20.

X

0

1

2

3

4

P(X)

.15

.25

.10

.35

For the probability distribution above, find the expected value.