Question 1

A researcher explained that the average amount of hours studied by students per week in a particular statistics course was 3.6 with a 95% confidence interval of 2.40-4.8. This would tell you that the true amount of study time is probably between:

Accepted Answer

The 95% confidence interval of 2.40-4.8 includes both the lower and upper bounds of 3.6 (the average amount of hours studied), indicating that the true amount of study time is likely to be within this range. Therefore, choice C is the best answer.

Question 2

A distribution of means tends to be unimodal and symmetrical because middle scores for means are more likely than extremes, and with fewer extremes there is also less asymmetry. (True or False)

Accepted Answer

A distribution of means tends to have fewer extremes than a distribution of individual scores, which leads to greater symmetry and a higher likelihood of being unimodal.

Question 3

The number of people polled (e.g., in a Gallup poll of U.S. citizens)is not very important; rather, what matters are the methods of sampling and estimating error, which are typically not reported in detail. (True or false)

Accepted Answer

The methods of sampling and estimating error are crucial for the accuracy and reliability of poll results, while the number of people polled may not necessarily ensure representativeness or validity. Therefore, it is true that the methods of sampling and estimating error are more important than the sample size and are often not reported in sufficient detail.

Question 4

The __________ of a distribution of means equals the __________ of the population divided by the number of individuals in the sample. (Use the same word in both places.)

Accepted Answer

The answer of The __________ of a distribution of means...

Question 5

When conducting a study involving a sample of several people to see whether they represent a population different from some known population, the __________ is a distribution of means.

Accepted Answer

The answer of When conducting a study involving a sample...

Question 6

The mean of a distribution of means is __________ the mean of the population.

Accepted Answer

The answer of The mean of a distribution of means...

Question 7

The variance of a distribution of means equals the variance of the population of individuals divided by the __________.

Accepted Answer

The answer of The variance of a distribution of means...

Question 8

The variance of the distribution of means = __________.

Accepted Answer

The answer of The variance of the distribution of means...

Question 9

In a research article involving a sample and a known population mean, frequently reported statistics would include:

Accepted Answer

The standard error and the mean are important statistics to report when dealing with a sample and a known population mean. The standard error provides information about the variability of the sample mean and how well it represents the population mean, while the mean provides information about the central tendency of the sample. Reporting t or Z scores and variance might also be relevant, but they are not as commonly reported as the standard error and mean. Power, effect size, and mode are not relevant statistics in this context.

Question 10

"Population SD²_M" stands for __________.

Accepted Answer

The answer of "Population SD²_M" stands for __________....

Question 11

There is no reason for the mean of a distribution of means to be larger or smaller than the __________.

Accepted Answer

The answer of There is no reason for the mean...

Question 12

For the following question(s): A population is normally distributed with a mean of 50 and a standard deviation of 8. A sample of 10 is studied.
-The mean of the distribution of means = __________.

Accepted Answer

The answer of For the following question(s): A population is...

Question 13

Place the steps for figuring the 95% and 99% confidence intervals into the correct order. 1. Find the Z scores that go with the confidence interval you want.
2) Change these Z scores to raw scores to find the confidence interval.
3) Estimate the population mean and figure the standard deviation of the distribution of means.

Accepted Answer

The correct sequence for calculating confidence intervals starts with estimating the population mean and figuring the standard deviation of the distribution of means (Step 3), then finding the Z scores associated with the desired confidence interval (Step 1), and finally converting these Z scores to raw scores to determine the confidence interval (Step 2).

Question 14

A(n)__________ is the comparison distribution when testing a hypothesis involving a sample of more than one individual.

Accepted Answer

The answer of A(n)__________ is the comparison distribution when testing...

Question 15

The standard deviation of a distribution of means is the square root of the variance of __________.

Accepted Answer

The answer of The standard deviation of a distribution of...

Question 16

The advantage of a large sample size, like those used in polls, is that they:

Accepted Answer

A larger sample size results in a smaller standard deviation of the distribution of means, which increases the precision and accuracy of the results. This means that the data is more reliable and generalizable to the population being studied.

Question 17

Another name for the standard deviation of a distribution of means is the __________.

Accepted Answer

The answer of Another name for the standard deviation of...

Question 18

Other names for the standard error include the standard deviation of the distribution of means and the standard error of the mean. (True or False)

Accepted Answer

The standard error is sometimes referred to as the standard deviation of the distribution of means or the standard error of the mean.

Question 19

The shape of the distribution of means is __________.

Accepted Answer

The answer of The shape of the distribution of means...

Question 20

Sampling error is usually figured in a large poll:

Accepted Answer

Sampling error is often determined from preconstructed tables that are indexed by the sample size. These tables provide a quick reference to estimate the sampling error based on the size of the sample drawn from the population.

Quiz 6: Hypothesis Tests With Means of Samples

A researcher explained that the average amount of hours studied by students per week in a particular statistics course was 3.6 with a 95% confidence interval of 2.40-4.8. This would tell you that the true amount of study time is probably between:

A distribution of means tends to be unimodal and symmetrical because middle scores for means are more likely than extremes, and with fewer extremes there is also less asymmetry. (True or False)

The number of people polled (e.g., in a Gallup poll of U.S. citizens)is not very important; rather, what matters are the methods of sampling and estimating error, which are typically not reported in detail. (True or false)

The of a distribution of means equals the of the population divided by the number of individuals in the sample. (Use the same word in both places.)

When conducting a study involving a sample of several people to see whether they represent a population different from some known population, the __________ is a distribution of means.

The mean of a distribution of means is __________ the mean of the population.

The variance of a distribution of means equals the variance of the population of individuals divided by the __________.

The variance of the distribution of means = __________.

In a research article involving a sample and a known population mean, frequently reported statistics would include:

"Population SD²_M" stands for __________.

There is no reason for the mean of a distribution of means to be larger or smaller than the __________.

For the following question(s): A population is normally distributed with a mean of 50 and a standard deviation of 8. A sample of 10 is studied. -The mean of the distribution of means = __________.

A(n)__________ is the comparison distribution when testing a hypothesis involving a sample of more than one individual.

The standard deviation of a distribution of means is the square root of the variance of __________.

The advantage of a large sample size, like those used in polls, is that they:

Another name for the standard deviation of a distribution of means is the __________.

Other names for the standard error include the standard deviation of the distribution of means and the standard error of the mean. (True or False)

The shape of the distribution of means is __________.

Sampling error is usually figured in a large poll:

Quiz 6: Hypothesis Tests With Means of Samples

A researcher explained that the average amount of hours studied by students per week in a particular statistics course was 3.6 with a 95% confidence interval of 2.40-4.8. This would tell you that the true amount of study time is probably between:

A distribution of means tends to be unimodal and symmetrical because middle scores for means are more likely than extremes, and with fewer extremes there is also less asymmetry. (True or False)

The number of people polled (e.g., in a Gallup poll of U.S. citizens)is not very important; rather, what matters are the methods of sampling and estimating error, which are typically not reported in detail. (True or false)

The __________ of a distribution of means equals the __________ of the population divided by the number of individuals in the sample. (Use the same word in both places.)

When conducting a study involving a sample of several people to see whether they represent a population different from some known population, the __________ is a distribution of means.

The mean of a distribution of means is __________ the mean of the population.

The variance of a distribution of means equals the variance of the population of individuals divided by the __________.

The variance of the distribution of means = __________.

In a research article involving a sample and a known population mean, frequently reported statistics would include:

"Population SD2M" stands for __________.

There is no reason for the mean of a distribution of means to be larger or smaller than the __________.

For the following question(s): A population is normally distributed with a mean of 50 and a standard deviation of 8. A sample of 10 is studied. -The mean of the distribution of means = __________.

A(n)__________ is the comparison distribution when testing a hypothesis involving a sample of more than one individual.

The standard deviation of a distribution of means is the square root of the variance of __________.

The advantage of a large sample size, like those used in polls, is that they:

Another name for the standard deviation of a distribution of means is the __________.

Other names for the standard error include the standard deviation of the distribution of means and the standard error of the mean. (True or False)

The shape of the distribution of means is __________.

Sampling error is usually figured in a large poll:

The of a distribution of means equals the of the population divided by the number of individuals in the sample. (Use the same word in both places.)

"Population SD²_M" stands for __________.