[Answered] MATH 225N Week 3 Lab Assignment: Confidence Intervals- (2023)

Course  

MATH 225N Statistical Reasoning For The Health Sciences

Instruction  

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

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.

  • 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?
  • Find a 95% confidence interval for the true mean height of all the people at your place of work. What is the interval?
  • Give a practical interpretation of the interval you found in part b, and explain carefully what the output means.
  • 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 of error be larger or smaller for the 99% CI? Explain your reasoning.

The above data demonstrates that I am 99% confident that the true mean height of all the people at my workplace is between 64.8inches and 69.1 inches. The margin of error for the 99% confidence interval is 2.15, which is larger than the margin of error of the 95% interval 1.57. The margin of error increases as the level of confidence increases because the larger the expected proportion of intervals that will contain the parameter, the larger the margin error.

SOLUTION  

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