4. JaneDoepredictsthatstudentsstudybetterwithaconstantbackgroundsound,asopposedt

Question

4. JaneDoepredictsthatstudentsstudybetterwithaconstantbackgroundsound,asopposedtoanunpredictable sound or no sound at all. She creates 3 groups of students, subjects each group to a sound while they study a passage of text for 30 minutes, and then has all students take a 10-point multiple choice quiz over the material (scores shown below). Group 1 studied with background sound at a constant volume, while group 2 studied with noise that changed volume periodically, and group 3 studied in silence. Is there an effect of noise on studying?

Group 1 Group 2 Group

3 5 2

6 4 3

8 4 6

6 7 3

2 1

2 0

4

5

Explanation / Answer

here null hypothesis:Ho: All group have equal mean scores.( indicating no effect of noise on studying)

alternate hypothesis:Ha:at least 2 groups have different mean scores from each other.

applying one way ANOVA on above data:

from above p value for above test =0.6475

as p value is very high we do not have sufficient evidence against mean of being different.

therefpre we do not have sufficient evidence of effect on noise on studying.

Groups Count Sum Average Variance group 1 8 36 4.5 4.571 group 2 6 21 3.5 6.7 group 3 4 14 3.5 3 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 4.444 2 2.2222 0.4474 0.6475 3.6823 Within Groups 74.500 15 4.9667 Total 78.944 17

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