I. Introduction:
a.
Group three and I designed a survey called "The New Year’s Weight Loss Phenomenon", to compare weight
loss successes by the motivation of a new year's resolution, verses Physician recommendations. All the
received results were automatically entered a file and assigned a number that remained confidential for the
participants. The information for the survey was not randomly selected, but, was sent out to our Facebook
friends and contacts via email. Although many survey requests were solicited, it is understood that our sample
results were obtained from voluntary participants. The total response to our survey was One Hundred
participants.
b.
The questions submitted in the survey are as follows:
1) What is your personal goal weight that would make you happy?
2) What is your current weight?
3) Has a healthcare provider recommended to you the need to lose weight to control an actual or
potential medical problem? Yes/No.
4) How motivated are you to reach your new years' weight Loss goals? Please choose one of the
following; very unmotivated, unmotivated, somewhat motivated, motivated, very motivated.
II. Looking at a Catagorical Variable:
a. The response to the question "Has a healthcare provider recommended to you the need to lose weight to
control an actual or potential medical problem?" are shown in the following pie chart.
From the pie chart above we can ascertain that 27 of our 100 participants or 27% reported that they were
advised by a healthcare provider recommending a need to lose weight to control an actual or potential medical
problem. Seventythree, or 73% were not advised by a healthcare provider to lose weight.
One sample proportion confidence interval:
Outcomes in : provider recommended weight loss Success : Yes p : Proportion of successes Method: StandardWald 95% confidence interval results:

Interpretation of the confidence interval: Above is the 95% confidence interval results for the proportion
of the population that answered "Yes" to the question, "Has a healthcare provider recommended to you the
need to lose weight to control an actual or potential medical problem?". A 95% confidence interval means
that with different samples of size n=100, approximately 95% of these samples would result in confidence
intervals that contains the true proportion. Based on the confidence interval, it appears that we are 95%
confident that the true proportion of our population that would answer yes to this question is between
(0.183 to 0.357).
III. Looking at a Numerical Variable
a. The response to the question "What is your personal goal weight that would make you happy?" are shown in the histogram and summary statistics below.
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: A 95% confidence interval means that if we were to
select many different samples of size n=100, approximately 95% of these samples would result
in confidence intervals that contain the true proportion mean (μ). We interpret the above results
by saying we are 95% confident that our confident interval contains the true population
mean. Translated by saying, we are 95% confident that within our population, the average
person’s goal weight falls between 148159.
The tdistribution was used because the standard deviation of population mean is NOT known.
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