statistics in health

STATISTICS IN HEALTH 6

These are the data set of 10 additional values in addition to the values provided in the question. 60, 62, 64, 66, 66, 67, 68, 68, 70, 71, 72, 73, 74, 75, 75, 75, 76, 78, 78, 79. The screenshot of a spreadsheet is posted below.

The height is 65 inches. From the results, we can see that the sample mean height of the 20 values is 70.85 which is higher than me. It shows that my height is shorter than the sample mean. The sampling method that was used is systematic. Systematic sampling is where the participants are selected following a fixed and regular interval.This method is easy and unbiased. It means that the results will represent the actual population. During the study, I stood at the main gate entering the school between 9 am to 12 pm. The first twenty students entering the school formed my sample population. I took their heights with a stadiometer which I borrowed from my community clinic and recorded the values.

The study took place at the university entrance. The students were coming from all over New Jersey. Therefore, the sample resided from different locations. The age ranges of the participants involved school going teens with the ages ranging from 15 to 18 years. The study included both genders whereby out of the 10 participants, three were boys and seven were girls. The group included all races with no bias in terms of one’s racial affiliation. Everybody had an equal chance provided they come in that specified time of the study.

An empirical rule is a useful tool in determining where the 68th percent, 95th percent, and 99.7th percent values lie (Jaggia & Kelly, 2019). From the empirical values, 68% of the participants have heights between 65.30 and 76.4 inches. 95% of the participants have heights ranging from 59.75 to 81.94 inches. 99.7% of the participants have heights ranging from 54.2 to 87.49 inches.

After comparing the values from the normal distribution results, 0.4158% of participants are shorter than me, whereas 0.8542% of the participants are taller than me.

References

Jaggia, S., & Kelly, A. (2019). Business Statistics: Communicating with Numbers, 3e.

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