Of the sampled 10 persons (I inclusive), the mean height is 63.69 inches, and standard deviation of 7.42 inches. In this study, personal [my] height is 68 inches
Step 2: Background Information
How did you choose the participants for your study (sampling method)?
In this study, convenience sampling was used, i.e., which forms a non-probability technique, with sample selection based on easier accessibility (Holmes, Illowsky & Dean, 2017). With the movement restrictions, due to COVID-19, convenience sampling was efficient, with the selection and measurement of members was based solely on family members (1 st household) and neighbor’s house (2 nd household) to meet the saturation of 10 participants.
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How many of each gender did you have in your study?
The study has 4 females (40%) and 6 males (60%), making a sum of 10 participants.
What are the other interesting factors about your group?
The majority of the members were adults, i.e., over 21 years, with only one minor. Also, in the sample, the mode height was 62 inches (only two members), and maximum height 72 inches. The sample has a range of 27, and a median height of 64.25 inches, as shown in the figure above.
Step 3: Use the Week 5 Excel spreadsheet
Based on the explanation from Holmes, Illowsky and Dean (2017), the central limit theorem results, above, shows that of the sampled ten members, 68% have a height 56.3-71.1 inches, while 95% have a height 48.9-78.5 inches, and lastly, 99.70% have a height 41.4-85.9 inches.
With my height as 68 inches, as shown in the figure above, 71.94% of the sampled population has a height less than mine, while 28.06% are taller.
Reference
Holmes, A., Illowsky, B., & Dean, S. (2017). Introductory business statistics . Houston, Texas: OpenStax College, Rice University