Final Course Project- Written Portion Welcome to the final project. Introduce your scenario and data set. Provide a brief overview of the scenario you are given above and the data set that you will be...

Names
    Patient #    Infectious Disease    Age
    1    Yes    69                                        Mean    62
    2    Yes    35                                        Median    62
    3    Yes    60                                        Mode    69                                                                9    σ
    4    Yes    55                                        Midrange    56                                                                60    n
    5    Yes    49                                        Range    35-76                                                                1.1618950039    Std Error
    6    Yes    60                                        Variance    80
    7    Yes    72                                        Standard Deviation    9
    8    Yes    70
    9    Yes    70
    10    Yes    73
    11    Yes    68
    12    Yes    72
    13    Yes    74
    14    Yes    69
    15    Yes    46
    16    Yes    48
    17    Yes    70
    18    Yes    55
    19    Yes    49
    20    Yes    60
    21    Yes    72
    22    Yes    70
    23    Yes    76
    24    Yes    56
    25    Yes    59
    26    Yes    64
    27    Yes    71
    28    Yes    69
    29    Yes    55
    30    Yes    61
    31    Yes    70
    32    Yes    55                                        
    33    Yes    45
    34    Yes    69
    35    Yes    54
    36    Yes    48
    37    Yes    60
    38    Yes    61
    39    Yes    50
    40    Yes    59
    41    Yes    60
    42    Yes    62
    43    Yes    63
    44    Yes    53
    45    Yes    64
    46    Yes    50
    47    Yes    69
    48    Yes    52
    49    Yes    68
    50    Yes    70
    51    Yes    69
    52    Yes    59
    53    Yes    58
    54    Yes    69
    55    Yes    65
    56    Yes    61
    57    Yes    59
    58    Yes    71
    59    Yes    71
    60    Yes    68
1. Introduce your scenario and data set. Provide a brief overview of the scenario you are given above and the data set that you will be analyzing.
Classify the variables in your data set.
Which variables are quantitative/qualitative?
Variable Age: Quantitative data
Variable Infectious disease: Qualitative
Which variables are discrete/continuous?
Data variables are discretes
Describe the level of measurement for each variable included in your data set: Level of measurement of Infectious disease is Nominal scale and Age is Interval scale.
2. Discuss the importance of the Measures of Center and the Measures of Variation: Measure of centre gives one point that discribes centre and therefore representative of entire data set / distribution of data set. Measure of variation shows how much data is spread out and therefore indicate distribution widely spread or compact.
What are the measures of center and why are they important? Common measure of center are mean, median and mode. As stated above, Measure of centre discribes entire distribution with one point. Mean gives average of entire data set, Median gives middle value of data set and mode gives highest value of data set.
What are the measures of variation and why are they important? Common measure of variation are MIdrange, Range, Variance and Standard deviation. As stated above, measure of variation gives idea about shape of distribution.
3. Calculate the measures of center and measures of variation. Interpret your results in context of the selected topic.
Mean = 62
Median = 62
Mode = 69
Midrange = 56
Range = 35-76
Variance = 80
Standard Deviation = 9
Interpretation of results: Data for infectious disease with patient id collected to disfferent age. Mid range of data set is 56 and data is collected for 35-6=76 age range. Mean age for patient with infectious disease is 62 year, meadian 62 year and Mode (highest value) 69 year of age. This shows infectious disease is seen more in patient at higher age, mostly above age 60. This is corroborated with variance in data at 80 year and distribution compact / less spread out with standard deviation of 9 year.
4. Discuss the importance of constructing confidence intervals for the population mean: With hypothesis testing we can check if assumption is statistically significant or otherwise. This is done by using Null hypothesis and alternativev hypothesis. Population mean takes every data point in to account and calculates mean of entire population.
What are confidence intervals? It is a type of interval, that is range. It is constructed from observed data. It most likely contain true value and therefore constructed from population parameters.
What is a point estimate? It is used to estimate population parameter. As name suggests, it is a single parameter. Population mean = µ, is example of point estimate.
What is the best point estimate for the population mean? Best point estimate for population mean is Population mean = µ as it takes into account entire population / entire data set values for clculating mean.
Why do we need confidence intervals? As the name suggests, confidence interval gives range of value estimated / derived from unknow population. Values within interval / range are likely values of a distribution while value outside interval / range are not likely values of distribution.
5. Based on your selected topic, evaluate the following:
Find the best point estimate of the population mean:
Point estimate of population mean = µ = 61.82 year.
Construct a95%confidence interval for the population mean. Assume that...