stats exam 2

it can be impractical or even impossible to study populations

One reason that researchers nearly always gather data from samples of participants instead of entire populations is because

the mean of the original population

According to the Central Limit Theorem, the mean of the sampling distribution of means –μₓ̄  – will equal...

3

If a test has a population mean of 70 and standard deviation of 6, then what is the z-score for a sample of n = 9 scores with a mean of 76?

normally distributed.

The central limit theorem says that when all possible samples of a sufficient size are taken from a population and their means are charted, that distribution of means will be...

the sampling distribution of means.

The distribution of all possible samples of a given size (e.g., n = 54 or n = 117) are taken from a population and their means are charted, that distribution is known as..

be normal.

If a distribution of raw scores has a strong negative skew, then, given a sufficiently large n, the sampling distribution of means for that distribution will...

the standard deviation of the sampling distribution

The standard error is...

the sampling distribution of means

The distribution of all possible sample means (of a given size) is called...

1

If a distribution has a mean of 100 and a standard deviation of 15, then what is the standard error for a sample of 225 scores?

-2

If a distribution has a mean of 30 and a standard deviation of 3, then what is the z-score for a sample of 4 scores with a mean of 27?

Normal

The Central Limit Theorem states that the shape of a sampling distribution becomes closer to what shape as the number of sample means in the distribution increases?

1.5

If the population mean for a distribution is 150 and the standard deviation is 20, then what is the z-score for a sample of 100 people with an average score of 153?

the standard deviation of the original distribution.

If a person were to create a sampling distribution for sample standard deviations, then the mean of that distribution would be equal to...

σ/√n

The equation for the standard error of a sampling distribution is...

3

If a population has a mean of 40 and a standard deviation of 8, what would the z-score be for a sample of 16 people with a mean of 46?

  any sample statistic

A sampling distribution can be calculated for...

4

What is the standard error of a distribution if o= 20 and n = 25?

-1

If a population has a mean of 60 and a standard deviation of 15, what is the z-score for a sample of 9 people with an average of 55?

σxˉ

What is the symbol for the standard error?

Normal

As the size of samples (n) in a sampling distribution increases, the shape of that distribution becomes more...

The mean of the sampling distribution of mean

What does the symbol μₓ̄ refer to

+3

What is the z-score for a sample with n = 100 and M = 103 if the population parameters are =100 and =10?

20

What is the standard error for a distribution with = 40 when n = 4?

Mean

If a distribution of raw scores has a strong positive skew, then, given a sufficiently large n, the mean of the sampling distribution will be equal to the _____ of the raw score distribution.

it is easier to gather data from samples than populations.

One reason that researchers nearly always gather data from samples of participants instead of populations is because..

unimodal

According to the Central Limit Theorem, if a research takes sufficiently large samples (e.g., n > 30) from a bimodal distribution, then the resulting sampling distribution will be..

the sampling distribution of variances.

The distribution of all possible sample variances (of a given sample size) is called...

mesokurtic.

The distribution of all possible sample variances – if n is sufficiently large (e.g., n > 30) – will be...

The population standard deviation and the sample size

The standard error of a sampling distribution is a function of two things:

narrower

As the size of samples in a sampling distribution increases (i.e., as n get bigger), then that distribution becomes...