Chapters 7 and 8 Test 3 Review Flashcards

1
Q

If alpha is known, what are the assumptions that come with it?

A

That it is a simple random mean.

It is a normal population or a large sample size.

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2
Q

What is a sample error?

A

It is the error that can occur from using a sample to estimate a population’s characteristics.

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3
Q

What does the term “bar x” signify?

A

Sample mean

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4
Q

What does “sample distribution of a sample mean” mean?

A

It is the distribution of all possible sample means of sample size (bar x).

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5
Q

What does the xi stand for in the equation for the population standard deviation?

A

each of the numbers in the sample size

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6
Q

What does the “u” represent in the equation for the population standard deviation?

A

the mean of the population

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7
Q

What does the “N” stand for in the equation for the population standard deviation?

A

the size of the population

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8
Q

How do we find the standard deviation of the means of little samples of a population?

A

by using the formula for standard deviation

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9
Q

What is the central limit theorem?

A

For a relatively large sample size, the variable bar x is approximately normally distributed, regardless of the distribution of the variable under consideration.Increased sample sized makes this even better.

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10
Q

What is considered a large sample space?

A

30

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11
Q

How do you find the standard deviation of bar x?

A

standard deviation (of bar x)= standard deviation/ square root of n

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12
Q

What is the formula for finding the sampling distribution of a sample mean?

A

For the mean: (ux=u) the mean of the population is equal to the mean of the sample size
For the standard deviation: sigma (x)= sigma/ square root of n

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13
Q

Approximately 68% of all possible samples have means that lie within what of the population u?

A

sigma over square root of n

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14
Q

Approximately 95% of all possible samples have means that lie within what of the population u?

A

2 sigmas over the square root of n

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15
Q

Approximately 99/7% of all possible samples have means that lie within what of the population u?

A

3 sigmas over the square root of n

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16
Q

Approximately 100% percent of all possible samples have means within what of the population mean.

A

z alpha over 2

17
Q

If a question asks “find the probability of bar x is it assumes a value between 2 different numbers” what formula do you use?

A

the z score one