I. Introduction
This report will focus on the data below, which was collected using a StatCrunch survey about health concerns related to exercising. All responses were gathered from people surveyed by the MAT215, group 2 students at Excelsior College. Our samples are considered voluntary response samples because each potential participant was able to decide on their own if they wanted to be included in the survey. Our method of sampling was convenience sampling because we each used the easiest way to get our results (ex. classmates, coworkers, family, and/or friends).
Questions for the survey were:
1. Do you exercise currently? yes/no
2. How old are you? ___ years
3. How many hours of exercise a week do you think an average person requires to be healthy? ___ hours
4. How concerned are you with your level of activity? High concerned/moderately concerned/no at all concerned
II. Looking at a CategoricalVariable
The responses to the question "Do you currently exercise?" are shown in the following pie chart.
From the pie chart above we are able to state that 12 of the 20 respondents (60%) currently exercise. 8 (40%) do not currently exercise.
b. Result 2: One sample proportion with summary
95% confidence interval results
Outcomes in: Var1 (Do you currently exercise?)
Success: yes
p: proportion of successes
Method: StandardWald
One sample proportion confidence interval:Outcomes in : Do you currently exercise? Success : yes p : Proportion of successes Method: StandardWald 95% confidence interval results:

Interpretation of the confidence interval: The box above shows the results when using a 95% confidence interval for the people who answered yes to the question "Do you currently exercise?" We know that a confidence level refers to the longterm success rate of the method by how often the interval will contain the parameter of interest. A confidence interval gives a range of values in which the parameter of interest should fall. Based on this information from the result above using a confidence level of 95%, I can say I am 95% confident that the proportion of the population that would say yes, they do exercise currently is between 0.385 and 0.815.
Margin of Error
E= (0.815  0.385)/2
E = 0.215
III. Looking at the Numerical Value
a. The responses to the question, "How many hours of exercise a week do you think an average person requires to be healthy?" are shown in the histogram, with the summary statistics following.
Summary Statistics:
Summary statistics:

b.
A 95% confidence interval for the population mean is shown below.
One sample T confidence interval:μ : Mean of variable 95% confidence interval results:

Interpretation of the confidence interval: We know that a confidence level refers to the longterm success rate of the method by how often the interval will contain the parameter of interest. A confidence interval gives a range of values in which the parameter of interest should fall. Based on the results above, I am 95% confident that the confidence interval contains the true population mean. I am 95% confident that within the population a person requires somewhere between 4.5 hours and 7 hours of exercise per week to be healthy. I used a Tdistribution because the standard deviation is an unknown value.
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