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Favorable weather has been shown to be associated with increased tipping. Will just the belief that future weather will be
favorable lead to higher tips? The researchers gave 60 index cards to a waitress at an Italian restaurant in New Jersey. Before
delivering the bill to each customer, the waitress randomly selected a card and wrote on the bill the same message that was
printed on the index card. Twenty of the cards had the message "The weather is supposed to be really good tomorrow. I
hope you enjoy the day!" Another 20 cards contained the message "The weather is supposed to be not so good tomorrow. I
hope you enjoy the day anyway!" The remaining 20 cards were blank, indicating that the waitress was not supposed to write
any message. Choosing a card at random ensured that there was a random assignment of the diners to three experimental
conditions. The table shows the percentage tips for the three messages.
20.8 18.7 19.9 20.6 22.0 23.4 22.8
Good weather report 24.9 22.2 20.3 24.9 22.3 27.0 20.4
22.2 24.0 21.2 22.1
22.0 22.7
18.0 19.0 19.2
18.8
18.4 19.0 18.5
Rod woothor nonort
161
14.0
168
126
170
175
10.0
Question Source: Moore, The Basic Practice Of S
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99+
9X
18.0 19.0 19.2 18.8 18.4
19.0 18.5
Bad weather report
16.1 16.8
14.0 17.0
13.6 17.5 19.9
20.2
18.8. 18.0 23.2 18.2 19.4
19.9 16.0 15.0 20.1
19.3 19.2 18.0
No weather report
19.2 21.2 18.8 18.5 19.3 19.3 19.4
10.8 19.1 19.7 19.8 21.3 20.6
To access the complete data set, click the link for your preferred software format:
Excel Minitab JMP SPSS TI R Mac-TXT PC-TXT CSV Crunchlt!
(a) Find the Tukey simultaneous 99% confidence intervals for all pairwise differences among the three population means.
These populations are "Good and Bad," "Good and None," and "None and Bad." (Enter your answers rounded to five
decimal places.)
Question Source: Moore, The Basic Practice Or
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Good Bad lower value = 1.97145
"Good
-
PBad upper value =
6.10855
-
"Good None lower value =
1.8801
Good- HNone upper value =
5.1099
HNone Bad lower value = -1.1199
Question Source: Moore. The Basic Practice Of Statist
ML)-MATH 2830 (Sections 201, 202, 203) Spring19 FOURNIER Activities and Due Dates Chapter 27 Homework
e:
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None Bad lower value = -1.1199
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"None - Bad Upper value = 2.1099
(b) What does "99% confidence" mean for these intervals?
O That there is a 0.99 probability that all three intervals will contain the true difference in mean tipping percent.
O That there is a 0.01 probability that all three intervals will contain the true difference in mean tipping percent.
That there is a 0.01 probability that all three intervals will not contain the true difference in mean tipping percent.
That there is a 0.99 probability that all three intervals will not contain the true difference in mean tipping percent.
(c) Which pairs of means differ significantly at the overall 1% significance levels?
e
The "Good and Bad" and "None and Bad" groups significantly differ. There is not a significant difference for
Question Source: Moore, The Basic Practice Of Stat
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