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QUESTION 1 t(df=14) = 3.35, one-tailed. Based on these results we _____. reject

ID: 3124932 • Letter: Q

Question

QUESTION 1

t(df=14) = 3.35, one-tailed. Based on these results we _____.

reject Ho.

fail to reject Ho.

accept Ho.

reject Ha.

2 points   

QUESTION 2

When determining the pooled population variance estimate in a t test for independent means:

the variance of at least one of the original populations must be known (as opposed to estimated), but the other can be estimated from sample scores

the variance of BOTH of the original populations must be known, as opposed to estimated

the estimates based on each of the samples are averaged in such a way as to give more influence to the estimate based on more participants

the scores from both samples are combined to form a single sample, and the estimated variance is figured in the usual way, but using this combined sample

2 points   

QUESTION 3

Imagine that you conducted an independent-groups t test with 15 participants in each group. For a one-tailed test, the tcv at p = .05 would be:

+ OR - 1.701.

+ OR - 2.074.

+/- 1.711.

+/- 2.064.

2 points   

QUESTION 4

The alternative hypothesis for a one-tailed independent-groups t test states that:

Ho: µ1 = µ2.

Ho: µ1 < µ2.

Ha: µ1 µ2.

Ha: µ1 > µ2 or Ha: µ1 < µ2.

2 points   

QUESTION 5

Consider a study in which the population variance estimate based on an experimental group of 10 participants is 70, and the population variance estimate based on a control group of 20 participants is 50. Compute the pooled estimate of population variance.

48.6

56.4

61.3

65.4

2 points   

QUESTION 6

Which of the following is an example of a situation in which you could conduct a t test for independent means?

A comparison of the SAT scores of a group of 10 students who completed a special SAT preparation course compared to how people do on the SAT in general

A comparison of scores of participants in a memory study in which one group learns the words in alphabetical order and another group learns the words in order of word length

A comparison of participants’ scores on a skills test before and after attending a training session for improving the skill

None of the above would be suitable for a t test for independent means

2 points   

QUESTION 7

In a t test for independent means, the weighted average of the estimates of the population variance from two samples is known as the:

estimate of sample standard deviation

primed estimate of population standard deviation

pooled estimate of population variance

pooled estimate of degrees of freedom

2 points   

QUESTION 8

You conduct a t test for independent means and reject the null hypothesis. This means that:

the samples were from populations that were actually dependent rather than independent

the variance of one sample is so much larger than the variance of the other sample that you decide that the variances of the parent populations must not have been the same

the mean of one sample is so far from the mean of the other sample that you decide the samples must come from populations with different means

the mean of one sample is statistically the same as the mean of the other sample, so they probably come from populations with equal means

2 points   

QUESTION 9

For a two-tailed t test for independent means, tcv = 3.35 and tobt = -3.55. Based on these results we _____.

reject Ho.

fail to reject Ho.

accept Ho.

reject Ha.

2 points   

QUESTION 10

Which of the following t test results has the greatest chance of statistical significance?

t(28) = 1.70

t(14) = 1.70

t(18) = 1.70

t(10) = 1.70

2 points   

QUESTION 11

The null hypothesis for a one-tailed independent-groups t test states that:

Ho: µ1 µ2, or Ho: µ1 µ2

Ho: µ1 = µ2.

Ha: µ;1 = µ2.

Ha: µ1   µ2.

2 points   

QUESTION 12

Imagine that you conducted an independent-groups t test with 7 participants in each group. For a two-tailed test, the tcv at p = .05 would be:

+ OR - 1.717.

+ OR -2.074.

+/- 1.711.

+/- 2.179.

2 points   

QUESTION 13

Based on the following results, which would be the correct use of the formula t = (M1–M2) /SDifference?

Sample 1: Mean = 60; Variance of the sampling distribution = 2

Sample 2: Mean = 50; Variance of the sampling distribution= 7

t = (7–2) / 50 + 60

t = (60–50) / 4 + 49

t = 60–50 / 3

t = 60–50 / 9

2 points   

QUESTION 14

t(df=20) = 1.99, two-tailed. Based on these results we _____.

reject Ho.

fail to reject Ho.

accept Ha.

fail to reject Ha.

2 points   

QUESTION 15

All of the following are true for both the t test for independent means AND the t test for dependent means, EXCEPT:

population variances are estimated from the information in the sample of scores actually studied

pretest–posttest experimental designs are common

the population means are unknown

the sample scores (in some form) are eventually compared to a t distribution

2 points   

QUESTION 16

An independent-groups t test:

compares sample means for two related groups.

compares sample means for two unrelated groups.

compares standard deviations for two unrelated group.

compares sample means for three or more unrelated groups.

2 points   

QUESTION 17

The comparison distribution for a t test for independent means is a t distribution (as opposed to a normal curve) because:

tables are not available for the normal curve

the population variance is estimated

Z distributions were not used at the time the t test for independent means was invented

there are more degrees of freedom for a single sample than for when you use two samples

2 points   

QUESTION 18

Each of the following is part of conducting a t test for independent means, EXCEPT:

difference scores are found for each participant

the population variances are estimated

a comparison is made against a t distribution

the variance of the distribution of differences between means is figured

2 points   

QUESTION 19

If an independent-groups t test has 10 participants in each group, then the degrees of freedom are:

9.

10.

20.

18.

2 points   

QUESTION 20

The comparison distribution for a t test for independent means is a:

distribution of differences between means

Z distribution (i.e., a normal curve)

distribution of difference scores

distribution of proportional variance scores

2 points   

QUESTION 21

When conducting a t test for independent means, once the variances are known for each of the distributions of means, the variances can be added together to give the:

pooled estimate of the population variance

variance of the distribution of differences between means

t score

power of the study

2 points   

QUESTION 22

If an independent-groups t test has 7 participants in each group, then the degrees of freedom are:

7.

14.

6.

12.

2 points   

QUESTION 23

Which of the following is the best way to reduce the variances in the sampling distribution when conducting a t test for independent means?

Increase the size of the samples

Raise the study’s level of significance

Use the true population variance

Treat the two samples as one sample

2 points   

QUESTION 24

As sample variance _____, the value of the t test _____.

increases; increases

decreases; decreases

increases; decreases

increases; stays the same

2 points   

QUESTION 25

When using a t table, the degrees of freedom you should use for a t test for independent means is the:

degrees of freedom for Sample 1 divided by the total degrees of freedom for both samples

average of the degrees of freedom for the two samples

sum of the two sample sizes, minus one

sum of the two samples’ degrees of freedom

reject Ho.

fail to reject Ho.

accept Ho.

reject Ha.

Explanation / Answer

The answers are given below :

1) Reject H0.

2) the estimates based on each of the samples are averaged in such a way as to give more influence to the estimate based on more participants.

3) + OR - 2.074.

4)Ha: µ1 > µ2 or Ha: µ1 < µ2.

5) 56.4

6) A comparison of scores of participants in a memory study in which one group learns the words in alphabetical order and another group learns the words in order of word length

7) pooled estimate of population variance

8) the mean of one sample is so far from the mean of the other sample that you decide the samples must come from populations with different means

9) reject Ho

10) t(10) = 1.70

11) Ho: µ1 µ2, or Ho: µ1 µ2

12) +/- 2.179.

13) t = 60–50 / 9

14) fail to reject Ho

15)pretest–posttest experimental designs are common

16) compares sample means for two unrelated groups.

17) the population variance is estimated

18) difference scores are found for each participant

19) 18.

20) Z distribution (i.e., a normal curve)

21) pooled estimate of the population variance

22) 12

23) Increase the size of the samples

24) increases; decreases

25) sum of the two samples’ degrees of freedom

3)

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