At a single high-end restaurant in England over a 3-week period, there were 141 tables of diners. During the first week, current pop music was played. During the second week, classical music was played. During the third week, no music was played. The results of spending patterns were as follows: Music Mean bill n Classical 24.130 44 2.243 Pop 21.912 49 2.627 None 21.697 48 3.332 Total 22.531 141 2.969 a) By considering the standard deviations, explain why it is appropriate to perform a one-way ANOVA test on this data. b) State the null and alternate hypothesis. c) Perform a one-way ANOVA test by hand.

At a single high-end restaurant in England over a 3-week period, there were 141 tables of diners. During the first week, current pop music was played. During the second week, classical music was played. During the third week, no music was played. The results of spending patterns were as follows: Music Mean bill n Classical 24.130 44 2.243 Pop 21.912 49 2.627 None 21.697 48 3.332 Total 22.531 141 2.969 a) By considering the standard deviations, explain why it is appropriate to perform a one-way ANOVA test on this data. b) State the null and alternate hypothesis. c) Perform a one-way ANOVA test by hand.

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

5,
the first week, current pop music was played. During the second week, classical music was played. During
the third week, no music was played. The results of spending patterns were as follows:
At a single high-end restaurant in England over a 3-week period, there were 141 tables of diners. During
Music
Mean bill n
Classical 24.130
44
2.243
Pop
21.912
49
2.627
None
21.697
48
3.332
Total
22.531
141 2.969
a)
By considering the standard deviations, explain why it is appropriate to perform a one-way
ANOVA test on this data.
b)
State the null and alternate hypothesis.
c)
Perform a one-way ANOVA test by hand.
d)
Perform a TK Multiple Comparisons Test to determine which means are different with 95%
confidence and report your result.

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