Question

Dr. Doctor conducted a study to see if her new candy could increase happiness. Seven participants completed a happiness scale before and after eating the candy. Did the candy result in a significant difference in happiness? Use alpha = 0.05

Person          before         after

1                      53    76

2                        87    96

3                       24 93

4                         97    100

5                         35    72

6                         35    48

7                          55 104             

For the next 4 question, you will be asked to answer the following using this data! It will only be shown for this question.

- what is the final score in the numerator?

- what is the standard deviation?

- What is the final score in denominator?

- What is your Obtained t?

Answer 1

Before(B)	After(A)	d(A-B)
53	76	23
87	96	9
24	93	69
97	100	3
35	72	37
35	48	13
55	104	49
		29	Average
		23.917	stdev

a) Numerator = 29

b) Standard dev (s) = 23.917

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Did the candy result in a significant difference in happiness?

P-value =T.DIST.2T(3.208,6) = 0.0184

Since, p-value is less than 0.05 so, reject Ho

We can conclude that the new candy could increase happiness.