Question
You will find your data set with this assignment. This data set was created in MATH class and will be considered a random sample of
- You will find your data set with this assignment. This data set was created in MATH class and will be considered a random sample of all MATH students.Open this data set in Minitab.
- It is always a good idea to review your data set for extreme values that might be suspicious.These extreme values can be due to typing errors during data entry or might be legitimate. If we identified an outlier, it might be possible to investigate each specific outlier to see if that person really exists.
- Generate a column of Pulse Differences (AEPL - BEPL) using the Calc function in Minitab.This will provide the change in pulse after 1 minute of exercise.
- Hunt Outliners: Create boxplots of all the variables [Height, Weight, BMI, Before Exercise Pulse (BEPL), After Exercise Pulse (BEPL), and Pulse Differences]. If the boxplots are difficult to interpret, you can also examine the summary statistics for these variables (descriptive statistics).You do not need to include this information (boxplots and summary statistics) with your submission, unless you choose to do so for illustration purposes, but you should use them to identify any unusual data or outliers.
- If there are any outliers, we won't be able to identify and investigate the specific person in the data.That is what we would attempt to do if the entries were not anonymous. However, examine those outliers or unusual data and decide whether or not these subjects are legitimate or should be removed entirely from the data.Use some common sense.For example, do you expect someone to have a higher before-exercise pulse than an after-exercise pulse? Would you expect to find someone in the data that is 10 feet tall?Remember, if you decide to remove someone, justify your decision. There should be some basis in fact for the removal other than your opinion.
You should note any outliers and the entries you have deleted. Make sure you discuss which entries were removed and why they were removed.
- Your data is now cleaned and ready for analysis.
- Before you move on to answering the questions, create two visual representations for this data sets (a bar chart and a histogram of your choice!)
Questions
Assume that the data set we are using represents a random sample of all MATH students.Further, assume that the populations are normally distributed (they are). That way we don't have to worry about normal probability plots if any of our samples are below 25.Thus, we will be basing our inference and conclusions on the population of MATH students.
For the following questions, you must outline your methodology, and state your research question first, followed by your answer to the question. You can then quickly discuss your methodology and provide the Minitab output as a backup for your analysis and conclusions.
Questions (Any testing or inference should be done at 95% Confidence):
- It is claimed that females have a lower mean pulse rate in general (BEPL) than men. Given this data set, do females have a lower mean before exercise pulse rate (BEPL) than men? (Note:Minitab will put females in the first column and males in the second column if you use samples in one column with subscripts)
- It is claimed that due to smaller lung capacity, a female's heart must beat faster during exercise.Given this information, do females have a higher mean after exercise pulse rate (AEPL) than men?Perform this test at a 95% level of confidence. (Note:Minitab will put females in the first column and males in the second column if you use samples in one column with subscripts)
- It is claimed that one minute of exercise will increase a typical person's pulse (mean pulse difference) by more than 30 beats per minute.At a 95% level of confidence, evaluate this objective.
- It is your turn to use the data! You will need to come up with another research question to be answered by this data set. Put down your question, and use the right statistical analysis to answer it.
Data
User_type | Gender | Height | Weight | BMI | BEPL | AEPL | |
student | female | 66 | 160 | 25.82 | 65 | 97 | |
student | female | 62 | 140 | 25.6 | 102 | 120 | |
student | male | 70 | 180 | 25.82 | 61 | 102 | |
student | female | 67 | 145 | 22.71 | 82 | 123 | |
student | male | 72 | 185 | 25.09 | 86 | 110 | |
student | male | 70 | 140 | 20.09 | 98 | 120 | |
student | female | 65 | 140 | 23.29 | 73 | 80 | |
student | male | 74 | 165 | 21.18 | 70 | 95 | |
student | male | 66.5 | 145 | 23.05 | 96 | 118 | |
student | female | 62 | 130 | 23.77 | 83 | 100 | |
student | male | 72 | 185 | 25.09 | 82 | 102 | |
student | male | 73.5 | 195 | 25.38 | 80 | 132 | |
student | male | 68 | 135 | 20.52 | 95 | 126 | |
student | female | 64 | 130 | 22.31 | 66 | 91 | |
student | male | 71 | 242 | 33.75 | 78 | 96 | |
student | male | 71 | 240 | 33.47 | 75 | 121 | |
student | male | 74 | 175 | 22.47 | 86 | 118 | |
student | female | 67 | 150 | 23.49 | 71 | 94 | |
student | male | 71 | 180 | 25.1 | 61 | 80 | |
student | male | 71 | 225 | 31.38 | 62 | 80 | |
student | male | 74 | 185 | 23.75 | 65 | 86 | |
student | female | 63 | 125 | 22.14 | 106 | 120 | |
student | female | 62 | 125 | 22.86 | 70 | 90 | |
student | female | 63 | 150 | 26.57 | 87 | 88 | |
student | female | 64.8 | 145 | 24.28 | 77 | 82 | |
student | female | 68 | 135 | 20.52 | 55 | 97 | |
student | male | 71 | 144 | 20.08 | 55 | 99 | |
student | female | 69 | 140 | 20.67 | 88 | 115 | |
student | female | 69 | 140 | 20.67 | 110 | 135 | |
student | female | 65 | 145 | 24.13 | 76 | 124 | |
student | female | 63 | 120 | 21.25 | 93 | 131 | |
student | male | 65 | 157 | 26.12 | 91 | 113 | |
student | female | 68 | 180 | 27.37 | 80 | 110 | |
student | female | 68 | 145 | 22.04 | 82 | 105 | |
student | female | 67 | 140 | 21.92 | 97 | 110 | |
student | male | 71 | 300 | 41.84 | 50 | 89 | |
student | male | 71 | 165 | 23.01 | 50 | 86 | |
student | male | 75 | 170 | 21.25 | 110 | 146 | |
student | female | 66 | 150 | 24.21 | 90 | 112 | |
student | female | 64 | 120 | 20.6 | 84 | 62 | |
student | female | 66 | 140 | 22.59 | 78 | 130 | |
student | male | 71 | 175 | 24.4 | 87 | 92 | |
student | male | 72 | 185 | 25.09 | 70 | 100 | |
student | male | 74 | 207 | 26.57 | 68 | 91 | |
student | female | 65 | 135 | 22.46 | 90 | 96 | |
student | female | 64 | 135 | 23.17 | 115 | 146 | |
student | male | 74 | 202 | 25.93 | 72 | 99 | |
student | male | 68 | 130 | 19.76 | 88 | 114 | |
student | male | 70.1 | 155 | 22.17 | 81 | 102 | |
student | male | 76 | 210 | 25.56 | 99 | 112 | |
student | male | 70 | 173 | 24.82 | 79 | 104 | |
student | female | 66 | 135 | 21.79 | 76 | 89 | |
student | male | 74 | 179 | 22.98 | 58 | 72 | |
student | female | 64 | 136 | 23 | 70 | 100 | |
student | female | 62 | 112 | 21.5 | 68 | 74 | |
student | female | 69 | 140 | 20.8 | 62 | 110 | |
student | female | 65 | 139 | 23.1 | 60 | 130 | |
student | female | 62 | 120 | 21.9 | 62 | 88 | |
student | female | 61 | 118 | 22.3 | 60 | 102 | |
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