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In: Statistics and Probability

Which Data Set should you run a post-hoc T-test on? Think about what an ANOVA can...

Which Data Set should you run a post-hoc T-test on? Think about what an ANOVA can tell us and what can't an ANOVA tell us?

Group of answer choices

Data Set B

Data Set A

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Question 21 pts

Using Data Set A, run the Single Factor ANOVA in Excel, as we did in class. What p-value did you get?

Data Set A:

Speech Statistics Chemistry
19 69 35
14 14 12
7 32 17
28 9 30
39 5 35
33 16 8
16 15 37
18 26
39 10
26
6

Group of answer choices

0.88

0.98

1.98

1.88

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Question 31 pts

Using Data Set B, run the Single Factor ANOVA in Excel, as we did in class. What p-value did you get?

Data Set B:

Math History Oceanography
43 66 31
53 54 40
49 58 53
54 64 42
43 64 51
43 64 38
45 56 55
51 55 46
54 54 40

Group of answer choices

0.48

1.48

0.000048

0.0048

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Question 41 pts

Using Data Set A, what F and F critical values did you get?

Speech Statistics Chemistry
19 69 35
14 14 12
7 32 17
28 9 30
39 5 35
33 16 8
16 15 37
18 26
39 10
26
6

Group of answer choices

0.013; 3.40

0.210; 4.10

0.00002; 2.21

1.98; 19.28

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Question 51 pts

Using Data Set B, what F and F critical values did you get?

Math History Oceanography
43 66 31
53 54 40
49 58 53
54 64 42
43 64 51
43 64 38
45 56 55
51 55 46
54 54 40

Group of answer choices

12.12; 4.28

15.50; 3.40

30; 15.30

2.33; 9.38

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Question 61 pts

Below you will find the null and alternative hypothesis for an ANOVA:

H0: μ1 = μ2 = μ3
H1: at least one of the means is different.

For Data Set A, based on the p-value and F vs. F critical values we found above, do we fail to reject the null hypothesis? Or, do we reject the null hypothesis?

Group of answer choices

Fail to Reject

Reject

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Question 71 pts

Below you will find the null and alternative hypothesis for an ANOVA:

H0: μ1 = μ2 = μ3
H1: at least one of the means is different.

For Data Set B, based on the p-value and F vs. F critical values we found above, do we fail to reject the null hypothesis? Or, do we reject the null hypothesis?

Group of answer choices

Fail to Reject

Reject

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Question 81 pts

Which Data Set should you run a post-hoc T-test on? Think about what an ANOVA can tell us and what can't an ANOVA tell us?

Group of answer choices

Data Set B

Data Set A

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Question 91 pts

Tell us, in a short answer, why we run a post-hoc test after an ANOVA? What can a T-test tell us? When you run the t-test, do we want a big or small P (T<=t) two-tail value? Why?

Solutions

Expert Solution

Which Data Set should you run a post-hoc T-test on? Think about what an ANOVA can tell us and what can't an ANOVA tell us?

Answer :

what can ANOVA can tell us ?

it is used to determine  whether there are statistically significant difference between the means of two or more independent groups .

and what can't an ANOVA tell us?

= anova only tell us there is significant difference between means or not . it can not tell which mean is different exactly . we can find out it by using post hoc test or that kind of test .

Group of answer choices

Data Set B

Data Set A

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Question 21

Using Data Set A, run the Single Factor ANOVA in Excel, as we did in class. What p-value did you get?

Answer : first here i have given output of the anova for data set A and data set B

for output for data set A :

## now anova output for data B :

## Question 21

Using Data Set A, run the Single Factor ANOVA in Excel, as we did in class. What p-value did you get?

Answer : 0.9874 ie 0.98

## Question 31 Using Data Set B, run the Single Factor ANOVA in Excel, as we did in class. What p-value did you get?

Answer : 0.000048

## Question 41 Using Data Set A, what F and F critical values did you get?

Answer :  0.013; 3.40

## Question 51 Using Data Set B, what F and F critical values did you get?

Answer :  15.50; 3.40

## Question 61 Below you will find the null and alternative hypothesis for an ANOVA:

H0: μ1 = μ2 = μ3

H1: at least one of the means is different.

For Data Set A, based on the p-value and F vs. F critical values we found above, do we fail to reject the null hypothesis? Or, do we reject the null hypothesis?

Group of answer choices

Fail to Reject

## Question 71 Below you will find the null and alternative hypothesis for an ANOVA

H0: μ1 = μ2 = μ3

H1: at least one of the means is different.

For Data Set B, based on the p-value and F vs. F critical values we found above, do we fail to reject the null hypothesis? Or, do we reject the null hypothesis?

Group of answer choices

  Reject

## Question 81 Which Data Set should you run a post-hoc T-test on? Think about what an ANOVA can tell us and what can't an ANOVA tell us?

Group of answer choices

Data Set B

## Question 91

Tell us, in a short answer, why we run a post-hoc test after an ANOVA? What can a T-test tell us? When you run the t-test, do we want a big or small P (T<=t) two-tail value? Why?

Answer :

ANOVA can not tell which mean is different exactly . we can find out it by using post hoc test or that kind of test .

and post hoc test is valid only if we reject Ho . once we have reject Ho we can find out which pair mean difference statistically .

## What can a T-test tell us? When you run the t-test, do we want a big or small P (T<=t) two-tail value? Why?

T test is used for find out mean difference  between two treatments or groups . and used two tail because there is non directional tail hence used two tailed test .  


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