Find a 95% confidence interval for the true mean height of all the people at your place of work. What is the interval?
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”.
First Article: Confidence Intervals.
Second Article: Confidence Intervals.
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?
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 of error be larger or smaller for the 99% CI? Explain your reasoning.
CI = x̄ ± (tα/2 * (s/√n))
x̄ is the sample mean
tα/2 is the critical v
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s is the sample standard deviation
n is the sample size
To calculate the confidence interval, you need to find the values of x̄, s, and n from your sample data and the value of tα/2 from a t-distribution table or calculator.
Once you have these values, you can plug them into the formula and calculate the confidence interval. The confidence interval will give you a range of values within which you can be 95% confident that the true mean height of all the people at your place of work lies.