Essay about Statistics and Ideal Marriage Age

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Christina Aiello

BUSN 6530 – Summer 2013
Mini-Project #1

Part 1

On the first day of class, each student took a survey to supply data for the first Mini Project. One question was: “What is a reasonable amount to spend on a very nice dinner for two, say in downtown Denver?” and another question asked for gender. For the first analysis I will look at responses for a reasonable amount to spend on dinner compared to gender.
1. A. Females vs. Money on nice dinner

N is the total number of respondents
i. N=16
Xbar is the average of the data reported by the respondents
i. Xbar=$102.19
S is the sample standard deviation, or SQRT(((x-xbar)^2)/(n-1))
i. S=44.23
The median is the middle number in the data set when ordered numerically
i. Median=100
95% confidence intervals are used to establish reliability of an estimate
i. 95% confidence intervals=78.6, 125.7
Box plot for data:

1. B. Males vs. Money on a nice dinner

N is the total number of respondents
i. N=17
Xbar is the average of the data reported by the respondents
i. Xbar=$82.35
S is the sample standard deviation, or SQRT(((x-xbar)^2)/(n-1))
i. S=33.4
The median is the middle number in the data set when ordered numerically
i. Median=100
95% confidence intervals are used to establish reliability of an estimate
i. 95% confidence intervals=65.2, 99.5
Box plot for data

1. C. Analysis:

Interestingly enough, the median ideal dinner price for males and females was the same at $100. However, women were more diverse in ranking meals over $100. I see this as a predicament of traditional culture colliding with modern day. Traditionally, men were the ones picking up the bill at dinner and today, it is the norm to split the bill. I think that men still feel they should be the one solely picking up the bill, so their average cost per dinner is lower. Since there are more women in the workforce making salaries comparable to men, they feel like they should now split the bill. When two people are splitting the bill, each are more comfortable with a higher overall check.
Part 2

During the survey we took on the first day of class, each student also answered questions such as: Are you married? And, What is the perfect age for a person to get married? In this analysis, I will look at the perfect age to get married when compared to individuals who are single and those who are married.

2. A. Singles vs. Ideal marriage age

N is the total number of respondents
i. N=27
Xbar is the average of the data
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