People tend to be more generous after receiving good news. Are they less generou
ID: 3173526 • Letter: P
Question
People tend to be more generous after receiving good news. Are they less generous after receiving bad news? The average tip left by adult Americans is 22%. Give 20 patrons of a restaurant a message on their bill warning them that tomorrow's weather will be bad and record the percentage tip they leave. Here are the tips as a percentage of the total bill:
18 19.1 19.2 18.8 18.4 19 18.5 16.1 16.8 18.2
14 17 13.6 17.5 20 20.2 18.8 18 23.2 19.4
Suppose that percentage tips are Normal with =2.3.
The P-value (±±0.001) is
Explanation / Answer
Mean = 22
Standard deviation = 2.3
Mean of the sample = sum( tips) /20 = 363.9/20 = 18.195
P(|X|<(22-18.195)/2.3) = 0.9019
Hence the p value is 1-0.9019 = 0.0981
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