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MATH225 Week 7 Assignment Confidence Intervals FALL 2026 Chamberlain

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A. Summary of Article #1 Confidence intervals: Part 1 This article explains the concept of confidence intervals and their role in making conclusions about a study population. For instance, a 95% confidence interval means that if the study were conducted multiple times, 95% of these intervals would likely encompass the true population value. A narrower confidence interval indicates greater precision, while a wider interval suggests increased uncertainty. In practice, a narrow confidence interval implies that the sample mean is probably a reliable estimate of the population mean. In contrast, a wide confidence interval indicates that more data is necessary before drawing any conclusions. B. Summary of Article #2 Confidence intervals: Part

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MATH 225N-61694: Statistical Reasoning for the Health Sciences


MATH225
Week 7 Lab Assignment


Please use this template to help answer the questions listed in the lab
instructions. The “steps” below refer to the steps listed in the lab instructions.
Type your answers and post your screenshots in the spaces given.

Summary of Articles

Write a few complete sentences summarizing what you learned from the articles
provided.

A. Summary of Article #1
Confidence intervals: Part
1
This article explains the concept of confidence intervals and their role in
making conclusions about a study population. For instance, a 95%
confidence interval means that if the study were conducted multiple times,
95% of these intervals would likely encompass the true population value. A
narrower confidence interval indicates greater precision, while a wider
interval suggests increased uncertainty. In practice, a narrow confidence
interval implies that the sample mean is probably a reliable estimate of the
population mean. In contrast, a wide confidence interval indicates that more
data is necessary before drawing any conclusions.




B. Summary of Article #2
Confidence intervals: Part
2

This article explains how to determine if two average scores are different by
looking at their confidence intervals. If the confidence intervals overlap, it

, means the difference is not significant, suggesting the true values might
be the same. If the confidence intervals do not overlap, the difference is
significant. Also, if the confidence interval for the difference between the
two means does not include zero, the difference is substantial.

C. How do you think confidence intervals can be used in health
sciences? Use the articles to inspire and support your answer.
In health sciences, confidence intervals help us understand how accurate
estimates are, such as the effects of a treatment or intervention. When the
confidence intervals for two treatments do not overlap, it means there is a
significant difference between them. However, if they overlap, this suggests
that the difference might not be important and could be due to random
chance.
Confidence intervals also show the range in which a true value, like
average blood pressure, is likely to fall. This information helps
decision-makers evaluate the effectiveness of treatments.
As highlighted in the articles, non-overlapping confidence intervals between
two treatments suggest a significant difference, while overlapping intervals
suggest that the treatments might not be as distinct as they appear. This
approach is valuable for making informed decisions about treatment
options.




Data Collection

Use the data set you collected for the Week 5 lab (heights of 10 different people
plus the 10 heights provided by your instructor). (NOTE: This is NOT the data
used in the lab video, which is about midterm grades. Do not use the midterm
grades data.)



2

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