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A researcher examined the effects (if any) of eliminating either vision, smell,

ID: 3432335 • Letter: A

Question

A researcher examined the effects (if any) of eliminating either vision, smell, or both, from inclusion in identifying taste. In order to determine this, he asked participants to taste Skittles under one of three conditions. Group one (taste alone) closed their eyes and pinched their noses, group two (taste and olfaction) closed their eyes, and group three (taste plus olfaction plus vision) had no restrictions. Each participants had to taste 10 Skittles and the researcher recorded the number of correct guess for each participant.

Group 1

Taste Alone

Group 2

Taste + Olfaction

Group 3

Taste + Olfaction +

Version

Correct guess

Correct guess

Correct guess

2

3

10

5

5

10

4

6

10

8

3

10

7

4

10

2

2

10

6

3

10

10

3

10

7

9

10

8

8

10

7

7

10

2

10

10

5

6

10

4

6

10

6

2

10

5

4

10

3

6

10

4

5

3

Using alpha = .05.

(1) Is there a statistically significant difference in mean number of correct guess among three groups?

(2) What can you conclude?

(3) Calculate the effect size for the mean difference classify it as being indicative of a "small," "medium," or "large" ES. Show all your hand calculations for ES

Group 1

Taste Alone

Group 2

Taste + Olfaction

Group 3

Taste + Olfaction +

Version

Correct guess

Correct guess

Correct guess

2

3

10

5

5

10

4

6

10

8

3

10

7

4

10

2

2

10

6

3

10

10

3

10

7

9

10

8

8

10

7

7

10

2

10

10

5

6

10

4

6

10

6

2

10

5

4

10

3

6

10

4

5

3

Explanation / Answer

(1) Is there a statistically significant difference in mean number of correct guess among three groups?

Null hypothesis: all means are eqaul

Alternative hypothesis: at least one mean is different.

The test statistic is

F=37.57

The p-value of F test is closed to 0

Since the p-value is less than 0.05, we reject the null hypothesis.

So we can conclude that there is a statistically significant difference in mean number of correct guess among three groups

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(2) What can you conclude?

So we can conclude that there is a statistically significant difference in mean number of correct guess among three groups

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(3) Calculate the effect size for the mean difference classify it as being indicative of a "small," "medium," or "large" ES. Show all your hand calculations for ES

Small: 5/2.333 = 2.143

Medium:5.3/2.3 = 2.304

Larger: 10/0 =0

Mean n Std. Dev 5.3 18 2.30 Group 1 5.0 19 2.33 Group 2 10.0 17 0.00 Group 3 6.7 54 2.96 Total
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