Histogram & Blood Sugar Tracking Statistics Discussion Help

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timer Asked: Feb 17th, 2019
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Question Description

Choose two of your classmates’ data sets. Take 30 random samples of 5 data points each (one way: Paste the data here http://www.randomizelist.com/ randomize the list and take the first 5 numbers, or use the sampling feature at http://www.statpowers.com/descriptiveStats.html), and calculate the average for each of these samples. You will now have 30 sample means. Create and post a histogram for your sample means. What is the mean of these means? What is the standard deviation? Does this make sense based on the Central Limit Theorem? Do the sample means follow a normal distribution? What p-value does the normality test give? How and why does this differ from the original data?

person 1

Data: Heartrates (in beats per minute) for 30 patients

Sample Mean: 70.9

Standard Deviation: 6.79

Histogram: provided in attachment

The data does seem to follow the bell curve of normal distribution

person 2 I used my chart from January blood sugars. When I put the numbers into the Shapiro-Wilk test, it seemed to follow the normal distribution. The results are below:

n = 12
Mean = 79.75
  SD = 13.410477586234917
   W = 0.939565955711239

Threshold (p=0.01) = 0.8050000071525574 --> HO accepted
Threshold (p=0.05) = 0.859000027179718 --> HO accepted
Threshold (p=0.10) = 0.8830000162124634 --> HO accepted


78 63 77 62 74 60 64 70 71 67 70 68 69 72 74 71 80 69 75 72 84 69 63 70 80 68 70 58 88 71 7
BLOOD SUGAR TRACKING CHARTED PROGRESS 140 130 120 110 100 My daily and average blood sugars taken 3 x's a day for most days 90 80 70 60 50 BLOOD SUGAR (mg/dL) RUNNING AVERAGE Line chart tracking Blood Sugar with Running Average is in this cell. DATA ENTRY DATE TIME BLOOD SUGAR (mg/dL) 1/3/2019 8:00:00 AM 1/3/2019 4:15:00 PM 1/3/2019 8:10:00 PM 1/4/2019 7:45:00 AM 1/4/2019 2:05:00 PM 1/4/2019 5:30:00 PM 1/5/2019 9:30:00 AM 1/5/2019 4:15:00 PM 1/5/2019 7:50:00 PM 1/6/2019 6:45:00 AM 1/6/2019 1:25:00 PM 1/6/2019 6:00:00 PM 2/11/2019 8:45:00 AM 2/11/2019 12:30:00 PM 2/11/2019 7:15:00 PM 65 85 98 62 94 82 60 82 99 74 84 72,00 78 86 92 RUNNING AVERAGE 65,0 75,0 82,7 77,5 80,8 81,0 78,0 78,5 80,8 80,1 80,5 72,00 79,6 80,1 80,9 DATE TIME BLOOD SUGAR (mg/dL) 2/12/2019 8:00:00 AM 2/12/2019 12:15:00 PM 2/12/2019 6:45:00 PM 2/13/2019 7:30:00 AM 2/13/2019 11:30:00 AM 2/13/2019 5:00:00 PM 2/14/2019 7:30:00 AM 2/14/2019 11:30:00 AM 2/14/2019 5:00:00 PM 2/15/2019 7:30:00 AM 2/15/2019 11:30:00 AM 2/15/2019 5:00:00 PM 2/16/2019 7:30:00 AM 2/16/2019 11:30:00 AM 2/16/2019 5:00:00 PM 2/17/2019 7:30:00 AM 2/17/2019 12:30:00 PM 2/17/2019 6:30:00 PM 2/17/2019 8:30:00 PM 64 94 102 76 88 95 72 81 96 71 89 99 76 84 69 73 92 98 105 Page 2 of 2 RUNNING AVERAGE 79,8 80,6 81,8 81,5 81,9 82,5 82,0 82,0 82,5 82,1 82,3 83,0 82,7 82,8 82,3 82,0 82,3 82,8 83,4

Tutor Answer

FelixBrato
School: University of Maryland

Attached.

1
Student Name
Professor Name
Course Name
18 February 2019
Discussion Responses
Person 1:
For this study, 30 random samples of 5 data points each were taken from the "Heart Rate"
data set. The average for each of the 30 samples was calculated and a histogram was created as
follows:
Figure 1. Sample Means Histogram

Sample Means Histogram
9

8

8

8
7
6

6
5

5
4

3

3
2
1
0
Bin 1 (67-68)

Bin 2 (69-70)

Bin 3 (71-72)

Bin 4 (73-74)

Bin 5 (75-77)

The average for the 30 means was found to be 71,32667, and the standard deviation
2,357955. Based on the Central Limit Theorem, which says that the average of a large number of
independent observations (themselves not necessarily normal) is normal, this makes sense (the
histogram also says so by its shape). Also, the sample means follow a normal distribution, as

2
indicated by the Shapiro-Wilk test, with a p-value for the 0,05 significance threshold of 0,9269.
This did not differ from the original data where the...

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Anonymous
Tutor went the extra mile to help me with this essay. Citations were a bit shaky but I appreciated how well he handled APA styles and how ok he was to change them even though I didnt specify. Got a B+ which is believable and acceptable.

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