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Biblioteka

The Mean and Standard Deviation of a Sampling Distribution

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Pitanje 1
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?

Pitanje 2
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?

Pitanje 3
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?

Pitanje 4
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?

Pitanje 5
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?

Pitanje 6
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?

Pitanje 7
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).

Pitanje 8
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?

Pitanje 9
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?

Pitanje 10
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?

Pitanje 11
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?

Pitanje 12
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?

Pitanje 13
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?

Pitanje 14
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.

Pitanje 15
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.

Pitanje 16
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.

Pitanje 17
17.

X

0

1

2

3

4

P(X)

.15

.25

.10

.35

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

Pitanje 18
18.

X

0

1

2

3

4

P(X)

.15

.25

.10

.35

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

Pitanje 19
19.

X

0

1

2

3

4

P(X)

.15

.25

.10

.35

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

Pitanje 20
20.

X

0

1

2

3

4

P(X)

.15

.25

.10

.35

For the probability distribution above, find the expected value.