Statistics Chapter 6 Test

False, 0.5

The area under the standard normal distribution to the left of z=0 is negative

False

The central limit theorem applies to means of samples selected from different populations

Correction for continuity

A correction employed when a continuous distribution is used to approximate a discrete distribution

Sampling distribution of sampling means

A distribution using the means computed from all possible random samples of a specific size taken from a population

Standard normal distribution

A normal distribution with a mean of 0 and a standard deviation of 1

True

All variables that are approximately normally distributed can be transformed to standard normal variables

68%

Approximately what percentage of normally distributed data values will fall within 1 standard deviation above or below the mean?

The population mean

The mean of the sample means equals

0

The mean of the standard normal distribution is

5

The normal distribution can be used to approximate the binomial distribution when n x p and n x q are both greater than or equal to

The population standard deviation divided by the square root of the sample size

The standard deviation of all possible sample means equals

Standard error of the mean

The standard deviation of all possible sample means is called the

Standard error of the mean

The standard deviation of the samples means

True

The standard normal distribution is a continuous distribution

False, 1

The total area under a normal distribution is infinite

True

The z value corresponding to a number below the mean is always negative

As the sample size n increases without limit, the shape of the distribution of the sample means taken with replacement from a population with mean and standard deviation will approach a normal distribution.

What does the central limit theorem say about the shape of the distribution of sample means?

The mean of the sample means will be the same as the population mean

What is the mean of the sample means.

Symmetric distribution

When the data values are evenly distributed about the mean, a distribution is said to be a

Positively or right skewed distribution

When the majority of the data values fall to the left of the mean, a distribution is said to be

Negatively or left skewed distribution

When the majority of the data values fall to the right of the mean, the distribution is said to be

It's uniform

Which is not a property of the standard normal distribution?

If the samples are randomly selected with replacement, the sample means, for the most part, will be somewhat different from the population mean. These differences are called sampling errors.

Why do most of the sample means differ somewhat from the population mean? What is this difference called?

Sampling error

the difference between the sample measure and the corresponding population measure due to the fact that the sample is not a perfect representation of the population

Normal distribution

If a random variable has a probability distribution whose graph is continuous, bell shaped, and symmetric, it is called a

A sampling distribution of sample means

If samples of a specific size are selected from a population and the means are computed, what is this distribution of means called?

5%

The correction factor for the central limit theorem should be used when the sample size is greater than — — of the size of the population

Sampling error

The difference between a sample mean and a population mean is due to

The standard deviation of the sample means is called the standard error of the mean.

What is the standard deviation of the sample means called?

Mode, median, mean

When a distribution is positively skewed, the relationship of the mean, median, and mode from left to right will be

50%

When one is using the standard normal distribution, P(z<0)=

Z value

the number of standard errors that a point is away from the mean