MATH 225N Week 7 Lab Assignment, Confidence Interval, Exams of Mathematics

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 MATH 225N Week 7 Lab Assignment, Confidence

Interval

Scenario/Summary

The highlight of this week's lab is confidence intervals and the use of these intervals inthe health sciences. There is a short reading that specifically relates confidence intervals to

health sciences and then you are asked to demonstrate your knowledge of confidence intervals by applying them in a practical manner.

Deliverables

The deliverable is a Word document with your answers to the questions posed below based on the article you find.

Required Software

• Microsoft Word
• Internet access to read articles

Prepare

• Download the Week 7 Lab Lecture Notes. SEE BELOW
• Lab 7 Lecture Notes
• You will need your Week 5 Lab Data!!
• 1. Go to Modules in the course room and click on Week 7 Lesson: Hypothesis Testing

• 2. Click on Week 7 Assignment: Lab
• 3. Download the Week 6 spreadsheet (SEE ATTACHED SPREADSHEET) to help calculate the following:
• 4. Let’s look at our data from Lab 5!
• Data Set: Ten Grades on the Midterm Exam

• Mean: Our Score:

• Standard Deviation:
• 5. Find a 95% confidence interval for the true mean Midterm Average of all the people in the class. What is the interval? [Provide a Screenshot].
• 6. Give a practical interpretation of the 95% confidence interval.
• 7. Find a 99% confidence interval for the true mean Midterm Average of all the people in the class. What is the interval? [Provide a Screenshot].
• 8. Give a practical interpretation of the 99% confidence interval. Would the margin

of error be larger or smaller for the 99% CI? Explain your reasoning.

• Lab 7 Overview

Demonstrate

Steps to Complete the Week 7 Lab

Step 1: Find these articles in the Library. Once you click each link, you will be logged into the Library and then click on "PDF Full Text".

• First Article: Confidence Intervals, Part 1 (SEE ATTACHED)
• Second Article: Confidence Intervals, Part 2 (SEE ATTACHED)

Step 2: Consider the use of confidence intervals in health sciences with these articles as inspiration and insights.

Step 3: Using the data you collected for the Week 5 Lab (heights of 10 different people that you work with plus the 10 heights provided by your instructor), discuss your method of collection for the values that you are using in your study (systematic, convenience, cluster, stratified, simple random). What are some faults with this type of data collection? What other types of data collection could you have used, and how might this have affected your study?

Step 4: Now use the Week 6 Spreadsheet to help you with calculations for the following questions/statements.

a) Give a point estimate (mean) for the average height of all people at the place where you work. Start by putting the 20 heights you are working with into the blue Data column of the spreadsheet. What is your point estimate, and what does this mean?

b) Find a 95% confidence interval for the true mean height of all the people at your place of work. What is the interval? [see screenshot below]

c) Give a practical interpretation of the interval you found in part b, and explain carefully what the output means. (For example, you might say, "I am 95% confident that the true mean height of all of the people in my company is between 64 inches and 68

inches").

d) Post a screenshot of your work from the t value Confidence Interval for μ from the Confidence Interval tab on the Week 6 Excel spreadsheet

Step 5: Now, change your confidence level to 99% for the same data, and post a screenshot of this table, as well.

Step 6: Compare the margins of error from the two screenshots. Would the margin oferror be larger or smaller for the 99% CI? Explain your reasoning.

Grading

This activity will be graded based on the Week 7 Lab Rubric.

Rubric

• MYPROFESSORISVERYPARTICULARAND WANTSEVERYBUL ETPOINTIN THE RUBRICANWSERS.PLEASEANSW ER AL QUESTIONSSYSTEMATICALY.SEEBELOW. THANKYOU

Week 7 Assignment: Lab

Week 7 Assignment: Lab

Criteria Ratings Pts

This criterion is linked to a Learning Outcome Data Collection and Pitfalls Range

12 pts Proficient Lab includes all of

10.2 pts Above Average Lab includes 3

8.4 pts Average Lab includes 2 out of

pts Need s Improvement

0 pts No Effo rt

the following: out of 4 of the 4 of the Lab includes 1 *20 data following: *10 following: *10 out of 4 of the points/heights data data following: * *method of points/heights points/heights data collection *faults with

*method of collection

*method of collection

points/heights *method of 12 pts

method of *faults with *faults with collection collection used method of method of *faults with *a different collection used collection used method of method of *a different *a different collection used collection method of method of *a different collection collection method of collection

Week 7 Assignment: Lab

Criteria Ratings Pts

This criterion is

linked to a Learning Outcome

Estimate a Confidence Interval

15 pts Proficient Lab includes all of the following:

12.75 pts Above Average Lab includes 3 out of 4 of the

10.5 pts Average Lab includes 2 out of 4 of the

8.25 pts Needs Improvem ent Lab includes 1

0 pts No Effo rt

*point estimate

following: following: out of 4 of the

*95% *point estimate

*point estimate

following:

confidence *95% *95% *point estimate interval *screenshot of Excel

confiden ce interval *screenshot of

confiden ce interval *screenshot of

*95%

confiden ce interval

15 pts

spreadsheet Excel Excel *screenshot of *practical spreadsheet spreadsheet Excel interpretation *practical *practical spreadsheet on confidence interpretation interpretation *practical interval on confidence on confidence interpretation interval interval on confidence interval

Week 7 Assignment: Lab

Criteria Ratings Pts

This criterion is

linked to a Learning Outcome

Interpret a Confidence

15 pts Proficient Lab

12.75 pts Above Average

10.5 pts Average Lab

pts Needs

0

pts No Interval addresses^ all of the following

Lab addresses 2 out of 3 of the

addresses 1 out of 3 of the

Improvement Lab mentions

Effort

well *a 99% following well following well but does not confidence *a 99% *a 99% explain fully any interval confidence confidence of the following *screenshot of interval interval *a 99% Excel spreadshe et *comparison of

*screenshot of Excel spreadshe et

*screenshot of Excel spreadshe et

confiden ce interval *screenshot of

15 pts

margins of *comparison of

*comparison of

Excel error for 99% margins of margins of spreadsheet and 95% error for 99% error for 99% *comparison of *explanation of

and 95% and 95% margins of error reasoning *explanation of

*explanation of

for 99% and

reasoning reasoning 95% *explanation of reasoning

This criterion is linked to a

Learning Outcome 8 pts 6.8 pts 5.6 pts 4.4 pts 0 pts Grammar and Proficient Lab Above Average Average Lab is

Needs No

Formatting is^ easy^ to^ read and presents

Lab is easy to read and

easy to read and has few

Improvement There are

Effort

material in a logical order with no

presents material in a logical order. There are a few

grammatical errors, but it is not logically

significant grammati cal errors and

8 pts

grammatical grammatical organized. organizational

errors. errors but they issues that

do not distract distract from from readability.

readability.