100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached 4.6 TrustPilot
logo-home
Essay

Statistical Analysis of Data Variation and Confidence Interval Calculation

Rating
-
Sold
-
Pages
2
Grade
A+
Uploaded on
16-11-2025
Written in
2025/2026

The document focuses on fundamental concepts in inferential statistics, specifically exploring the implications of standard deviation in comparative data analysis and outlining the procedure for calculating a confidence interval in a workplace setting. The paper presents two main statistical concepts:1. Normal Distribution and Standard Deviation:It compares two processes, Process A (standard deviation, $sigma = 0.9$) and Process B ($sigma = 1.2$), both with a mean of 12.Process B exhibits greater variation because it has a larger standard deviation. A greater standard deviation means the data points are spread farther away from the mean, making the data less consistent and less predictable.Process A is deemed more consistent and predictable due to its smaller standard deviation, as its values are closer to the mean.The comparison is positioned as crucial for decision-making, where the process with smaller variation (Process A) is typically preferred, even if the absolute productivity (mean) is similar. The paper suggests increasing the sample size for Process B as a way to potentially reduce its standard deviation.2. Confidence Intervals (CI) at the Workplace:The document provides a step-by-step example of calculating a confidence interval (specifically a 95% CI) for the average number of fruits harvested monthly in an orchard.The process involves:Collecting daily observations for the month.Calculating the mean ($bar{X}$) and standard deviation ($s$) of the observations.Selecting the desired confidence level (e.g., 95%) and identifying the corresponding Z-value (1.96 for 95%).Calculating the confidence interval using the formula: $bar{X} pm Z times frac{s}{sqrt{n}}$, where $sqrt{n}$ is the sample size. The final result provides a range (lower and upper value) within which the true population mean is expected to lie.The document also includes a brief section titled "Hang Up and Drive" which critiques presented statistics on cell phone use while driving, highlighting the importance of reliable sources (reputable, peer-reviewed journals) and proper methodological disclosure (sample size, confounding factors) for confirming the accuracy of results.

Show more Read less








Whoops! We can’t load your doc right now. Try again or contact support.

Document information

Uploaded on
November 16, 2025
Number of pages
2
Written in
2025/2026
Type
Essay
Professor(s)
Unknown
Grade
A+

Content preview

1. Normal Distribution

Process A has a standard deviation of 0.9 while process B has a standard deviation of 1.2.

The mean for the two processes is 12. Process B shows greater variation with a standard

deviation of 1.2. A greater standard deviation shows that values are spread away from the

mean. Data is less consistent and less predictable. Data with a greater standard deviation is

less reliable as the variance is high. To improve on it, Process B has to increase the sample

size so that the standard deviation is reduced. Data A is more consistent and predictable

because of the small standard deviation. The values are closer to the mean which is 12.

Such information is useful in decision-making as it can be used in decision-making

whereby the process with a smaller standard deviation is chosen as it is consistent.

Although process A might record higher productivity, the big standard deviation might

indicate to the decision-makers that the result is not consistent and varies from time to time.



2. Hang Up and Drive

Motorists who talk on a cell phone while driving are 9% slower to hit the brakes, 19% slower

to resume normal speed after braking, and four times more likely to crash.

The above statistics are not backed by any solid research that was done to confirm the accuracy

of the results. They do not come from reputable journals, research institutions, or journals that

are peer-reviewed which are deemed to be more reliable (Kennedy, 2022). We also do not have

information on how the data was collected the methodologies used, or how it was analyzed for

the inference to be made. The sample size and how control for the confounding factors was

done is not explained. There is also no evidence of any similar research that has been conducted

around the same topic for comparison which makes the findings less reliable. The information
$15.99
Get access to the full document:

100% satisfaction guarantee
Immediately available after payment
Both online and in PDF
No strings attached

Get to know the seller
Seller avatar
samhia

Get to know the seller

Seller avatar
samhia Capella University
View profile
Follow You need to be logged in order to follow users or courses
Sold
0
Member since
3 months
Number of followers
0
Documents
280
Last sold
-

0.0

0 reviews

5
0
4
0
3
0
2
0
1
0

Recently viewed by you

Why students choose Stuvia

Created by fellow students, verified by reviews

Quality you can trust: written by students who passed their tests and reviewed by others who've used these notes.

Didn't get what you expected? Choose another document

No worries! You can instantly pick a different document that better fits what you're looking for.

Pay as you like, start learning right away

No subscription, no commitments. Pay the way you're used to via credit card and download your PDF document instantly.

Student with book image

“Bought, downloaded, and aced it. It really can be that simple.”

Alisha Student

Frequently asked questions