Question 1

A researcher hypothesizes that women are more in favor of gun control than are men. In conducting an analysis to test this hypothesis, how should the null hypothesis be stated?

Accepted Answer

The null hypothesis should be stated as there is no difference in the level of favorability for gun control between men and women, therefore H₀: Women = Men.

Question 2

The sampling distribution of the difference helps us determine ______.

Accepted Answer

The sampling distribution of the difference helps us determine the probability of obtaining a particular difference between sample means.

Question 3

The variability of the sampling distribution of the difference is measured by the ______.

Accepted Answer

The standard error of the differences measures the variability of the sampling distribution of the difference between two sample means. It is a measure of how much the sample means are likely to vary from one sample to another.

Question 4

This distribution illustrates a ______.

Accepted Answer

The answer of This distribution illustrates a ______. 
...

Question 5

This distribution illustrates a ______.

Accepted Answer

The answer of This distribution illustrates a ______. 
...

Question 6

The ______ of the difference help us determine the probability of obtaining a particular difference between sample means.

Accepted Answer

The sampling distribution of the difference is a theoretical distribution that represents all possible differences that could occur between two sample means. This distribution allows us to calculate the probability of obtaining a specific difference between sample means, which is important in hypothesis testing and determining the statistical significance of the difference. The standard error is also important in calculating the sampling distribution, but it alone does not help us determine the probability of a specific difference. The modality of a set of data and the probability of obtaining a particular value of the population mean are not relevant to calculating the sampling distribution of the difference between two sample means.

Question 7

The ______ of the sampling distribution of the difference is equal to ______.

Accepted Answer

The standard deviation of the sampling distribution of the difference is equal to √(σ₁²/n₁ + σ₂²/n₂), where σ₁ and σ₂ are the population standard deviations and n₁ and n₂ are the sample sizes. Therefore, option B is correct as it states that the standard deviation is a non-zero value. The other options are incorrect as they do not provide the correct relation between the mean/standard deviation and the sampling distribution of the difference.

Question 8

A researcher hypothesizes that Drug A is more effective than Drug B. In conducting an analysis to test this hypothesis, how should the null hypothesis be stated?

Accepted Answer

The null hypothesis typically states that there is no difference between the groups being compared. In this case, it would state that the effectiveness of Drug A is equal to the effectiveness of Drug B.

Question 9

A ______ symbol is part of the ______ hypothesis, and implies this hypothesis is ______.

Accepted Answer

The "<" symbol is used in alternative hypotheses to indicate a one-tailed test, which means we are only interested in finding out if the sample mean is significantly less than or greater than the population mean (not both). This makes sense in certain situations where we have a clear directional prediction. The null hypothesis does not include any symbols, as it simply states that there is no significant difference or relationship between variables. Therefore, option D is the best choice.

Question 10

The ______ of the sampling distribution of the difference is equal to ______.

Accepted Answer

The mean of the sampling distribution of the difference is equal to 0, as the mean of the difference between two sample means is equal to the difference between the population means (which is assumed to be 0 in this case).

Question 11

This distribution illustrates a ______.

Accepted Answer

The answer of This distribution illustrates a ______. 
...

Question 12

The ______ symbol is part of the ______ hypothesis, and implies this hypothesis is ______.

Accepted Answer

The ≠ symbol indicates a two-tailed hypothesis, and the alternative hypothesis must be two-tailed to account for the possibility of a significant difference in either direction. Therefore, the null hypothesis must be that there is no difference between groups, which is represented by the = symbol. Finally, the two-tailed hypothesis is preferred for most research questions as it is more conservative and allows for a broader range of possible outcomes.

Question 13

A researcher hypothesizes that nurses have higher average salaries than teachers. In conducting an analysis to test this hypothesis, how might the alternative hypothesis be stated?

Accepted Answer

The answer of A researcher hypothesizes that nurses have higher...

Question 14

A researcher hypothesizes that there is a difference in level of fear of crime for the elderly and young adults. In conducting an analysis to test this hypothesis, how might the alternative hypothesis be stated?

Accepted Answer

The alternative hypothesis needs to state a difference between the two groups being compared, which is stated as μElderly ≠ μYoung Adults. Choice A is incorrect as it is a null hypothesis, not an alternative hypothesis. Choice B is incorrect as it suggests that the alternative hypothesis is testing for a two-tailed difference, which is not stated in the prompt. Choice D is incorrect as it is testing for a specific direction of difference, which is not stated in the prompt.

Question 15

A ______ symbol is part of the ______ hypothesis, and implies this hypothesis is ______.

Accepted Answer

The symbol can be either < or > indicating a non-directional alternative hypothesis, which states that there is a difference between the groups but does not specify the direction of the difference.

Question 16

In testing the difference between two means, which of these is implied by the null hypothesis (H₀)?

Accepted Answer

The null hypothesis assumes that there is no significant difference between the means of the two groups being compared, so it implies that their means are equal (option A). It does not assume that one mean is greater or smaller than the other (options B and C), nor does it involve any random string (option D).

Question 17

A ______ symbol is part of the ______ hypothesis, and implies this hypothesis is ______.

Accepted Answer

The > symbol is used for a one-tailed test, which is part of the alternative hypothesis. Thus, the correct answer is A.

Question 18

______ represent(s) the variability of differences between two sample means.

Accepted Answer

Standard error of the differences represents the variability of differences between two sample means.

Question 19

In testing the difference between two means, which of these is implied by the null hypothesis (H₀)?

Accepted Answer

The null hypothesis typically assumes that there is no difference between the means of the two groups being compared, so option B, which states that the difference between the two means is equal to 0, is the best choice.

Question 20

The mean of the sampling distribution of the difference is equal to ______.

Accepted Answer

The mean of the sampling distribution of the difference is equal to 0 because the expected value of the difference between two sample means is 0, assuming the samples are drawn from the same population with the same variance. This is known as the null hypothesis.

Quiz 9: Testing the Difference Between Two Means

A researcher hypothesizes that women are more in favor of gun control than are men. In conducting an analysis to test this hypothesis, how should the null hypothesis be stated?

The sampling distribution of the difference helps us determine ______.

The variability of the sampling distribution of the difference is measured by the ______.

This distribution illustrates a ______.

This distribution illustrates a ______.

The ______ of the difference help us determine the probability of obtaining a particular difference between sample means.

The of the sampling distribution of the difference is equal to .

A researcher hypothesizes that Drug A is more effective than Drug B. In conducting an analysis to test this hypothesis, how should the null hypothesis be stated?

A symbol is part of the hypothesis, and implies this hypothesis is __.

The of the sampling distribution of the difference is equal to .

This distribution illustrates a ______.

The symbol is part of the hypothesis, and implies this hypothesis is __.

A researcher hypothesizes that nurses have higher average salaries than teachers. In conducting an analysis to test this hypothesis, how might the alternative hypothesis be stated?

A researcher hypothesizes that there is a difference in level of fear of crime for the elderly and young adults. In conducting an analysis to test this hypothesis, how might the alternative hypothesis be stated?

A symbol is part of the hypothesis, and implies this hypothesis is __.

In testing the difference between two means, which of these is implied by the null hypothesis (H₀) ?

A symbol is part of the hypothesis, and implies this hypothesis is __.

______ represent(s) the variability of differences between two sample means.

In testing the difference between two means, which of these is implied by the null hypothesis (H₀) ?

The mean of the sampling distribution of the difference is equal to ______.

Quiz 9: Testing the Difference Between Two Means

A researcher hypothesizes that women are more in favor of gun control than are men. In conducting an analysis to test this hypothesis, how should the null hypothesis be stated?

The sampling distribution of the difference helps us determine ______.

The variability of the sampling distribution of the difference is measured by the ______.

This distribution illustrates a ______.

This distribution illustrates a ______.

The ______ of the difference help us determine the probability of obtaining a particular difference between sample means.

The ______ of the sampling distribution of the difference is equal to ______.

A researcher hypothesizes that Drug A is more effective than Drug B. In conducting an analysis to test this hypothesis, how should the null hypothesis be stated?

A ______ symbol is part of the ______ hypothesis, and implies this hypothesis is ______.

The ______ of the sampling distribution of the difference is equal to ______.

This distribution illustrates a ______.

The ______ symbol is part of the ______ hypothesis, and implies this hypothesis is ______.

A researcher hypothesizes that nurses have higher average salaries than teachers. In conducting an analysis to test this hypothesis, how might the alternative hypothesis be stated?

A researcher hypothesizes that there is a difference in level of fear of crime for the elderly and young adults. In conducting an analysis to test this hypothesis, how might the alternative hypothesis be stated?

A ______ symbol is part of the ______ hypothesis, and implies this hypothesis is ______.

In testing the difference between two means, which of these is implied by the null hypothesis (H0) ?

A ______ symbol is part of the ______ hypothesis, and implies this hypothesis is ______.

______ represent(s) the variability of differences between two sample means.

In testing the difference between two means, which of these is implied by the null hypothesis (H0) ?

The mean of the sampling distribution of the difference is equal to ______.

The of the sampling distribution of the difference is equal to .

A symbol is part of the hypothesis, and implies this hypothesis is __.

The of the sampling distribution of the difference is equal to .

The symbol is part of the hypothesis, and implies this hypothesis is __.

A symbol is part of the hypothesis, and implies this hypothesis is __.

In testing the difference between two means, which of these is implied by the null hypothesis (H₀) ?

A symbol is part of the hypothesis, and implies this hypothesis is __.

In testing the difference between two means, which of these is implied by the null hypothesis (H₀) ?