Carol Lynne Cates
Week 7: Lab Assignment
Summer 2019
Statistical Reasoning
Varalakshmi Balaji, Instructor
Week 7: Lab Assignment
Carol L. Cates
Chamberlain University
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Carol Lynne Cates
Week 7: Lab Assignment
Summer 2019
Statistical Reasoning
Varalakshmi Balaji, Instructor
Week 7: Lab Assignment
Carol L. Cates
Chamberlain University
This study source was downloaded by 100000860583932 from CourseHero.com on 01-20-2023 06:08:49 GMT -06:00
https://www.coursehero.com/file/45472080/week-7-labdocx/
CAROL LYNNE CATES 2
Week 7: Lab Assignment
Confidence Intervals CI) are basically the range of values we are fairly sure that our true
values falls within. According to El-Masri, M. (2012), CI is one of the most dependable
indicators of accurateness of our assumption. In week five, I gave the data for 10 nurses heights
which was as follows: 60”, 68”, 66”, 65”, 65”. 67”, 63”, 65”, 68”, and 61”. I chose a
convenience sample as I chose from 10 nurses in my workplace. It was quantitative continuous
as it has numbers and may involve fractions. Some faults of this are that it does not represent
the entire population. My choices were made based on ease of recruitment. This method can
also demonstrate bias which will skew the results. The last fault that I see is that there was no
study criteria developed for exclusion and inclusion. If I had chosen to utilize population
sampling, the entire population would have been my dataset and the estimates would have been
more reliable.
Data
60 Mean 64.8000
68 Sample Standard Deviation 2.7406
66
65
65
67
63
65
68
61
The point estimate is the mean of 64.8000 which indicates that the average height of the
ten nurses is 64.8 inches. The CI is Lower limit of 62.84 – upper limit of 66.76. I am 95%
confident that the true mean height of all of the employees in my company is between 62.84
inches to 66.76 inches.
t or z Confidence Interval for µ
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CAROL LYNNE CATES 3
Confidence Level 0.950 Enter decimal
n 10
Mean 64.8000
StDev 2.7406
pop stdev no Enter yes if population stdev known
Enter No if population stdev is
unknown
SE 0.866654
t 2.262
Margin of Error 1.960371
Lower Limit 62.839629
Upper Limit 66.760371
With the confidence level changes to 99%, the upper and lower limit changes to 61.98
inches – 67.62 inches. According to Holmes, A. and Dean, S. (2019), the margin of error tells
you how many percentage points your results will vary from the real population value. The
margin of error when increasing the CL from 95% to 99% increases from 1.96 to 2.82. This
means that 99% of the time, the true population parameter will fall within the interval estimate of
61.98 – 67.62.
t or z Confidence Interval for µ
Confidence Level 0.990 Enter decimal
n 10
Mean 64.8000
StDev 2.7406
pop stdev no Enter yes if population stdev known
Enter No if population stdev is
unknown
SE 0.866654
t 3.250
Margin of Error 2.816625
Lower Limit 61.983375
Upper Limit 67.616625
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CAROL LYNNE CATES 4
References
El-Masri, M. M. (2012). Confidence intervals: Part 1. Cana El-Masri, M. M. (2012). Confidence
intervals: Part 1. Canadian Nurse, 108(2), 8. Retrieved from https
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