Question

In: Statistics and Probability

Recall again that Rind & Bordia (1996) investigated whether or not drawing a happy face on...

Recall again that Rind & Bordia (1996) investigated whether or not drawing a happy face
on customers’ checks increased the amount of tips received by a waitress at an upscale
restaurant on a university campus. During the lunch hour a waitress drew a happy,
smiling face on the checks of a random half of her customers. The remaining half of the
customers received a check with no drawing (18 points).
The tip percentages for the control group (no happy face) are as follows:
45% 39% 36% 34% 34% 33% 31% 31% 30% 30% 28%
28% 28% 27% 27% 25% 23% 22% 21% 21% 20% 18%
8%
The tip percentages for the experimental group (happy face) are as follows:
72% 65% 47% 44% 41% 40% 34% 33% 33% 30% 29%
28% 27% 27% 25% 24% 24% 23% 22% 21% 21% 17%

This time, you are to perform a “hypothesis test” using the tip data, answering each of
the questions below. For short-answer questions, be brief. However, you must give
enough detail to justify your answers. Single-sentence responses will generally not
suffice, but do not exceed a paragraph for any given answer.

i. Obtain the appropriate test statistic. From the SPSS menus choose Analyze
and Compare Means, followed by the appropriate test.

Solutions

Expert Solution

Ho: There is no significant difference b/w happy faces and not happy faces due to tip percentage.

H1: There is significant difference b/w happy faces and not happy faces due to tip percentage.

level of significance :0.05

Procedure in SPSS

1) Enter the data in two columns named as No_Happy_face and Happy_face resp.

2)go to analyse --> Compare means -->Paired Sample t test

Enter both variable together in paired Variable box.--> OK

Dataset

No_Happy_face

Happy_face

45.00

72.00

39.00

65.00

36.00

47.00

34.00

44.00

34.00

41.00

33.00

40.00

31.00

34.00

31.00

33.00

30.00

33.00

30.00

30.00

28.00

29.00

28.00

28.00

28.00

27.00

27.00

27.00

27.00

25.00

25.00

24.00

23.00

24.00

22.00

23.00

21.00

22.00

20.00

21.00

18.00

21.00

8.00

17.00

22

22

Paired Samples Statistics

Mean

N

Std. Deviation

Std. Error Mean

Pair 1

No_Happy_face

28.0909

22

7.81274

1.66568

Happy_face

33.0455

22

13.95393

2.97499

Paired Samples Correlations

N

Correlation

Sig.

Pair 1

No_Happy_face & Happy_face

22

.888

.000

Paired Samples Test

Paired Differences

t

df

Sig. (2-tailed)

Mean

Std. Deviation

Std. Error Mean

95% Confidence Interval of the Difference

Lower

Upper

Pair 1

No_Happy_face - Happy_face

-4.95455

7.88898

1.68194

-8.45232

-1.45677

-2.946

21

.008

Here p - value is less than 0.05 hence we reject the null hypothesis and conclude that there is significant difference in happy faces and not happy faces due to increase in tip percentage.


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