MATH 221 Week 6 Lab Assignment (iLAB 6) | RATED A+ | DeVry University
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MATH 221
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Devry University
Statistical Concepts: Confidence Intervals Data Simulation Normal Probabilities Short Answer Writing Assignment All answers should be complete sentences. We need to find the confidence int erval for the SLEEP variable. To do this, we need to find the mean and standard deviation with the Week 1 spre...
math 221 week 6 lab assignment ilab 6 | rated a | devry university
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MATH 221 Statistics for Decision Making Week 6 iLab
Statistical Concepts:
Data Simulation
Confidence Intervals
Normal Probabilities
Short Answer Writing Assignment
All answers should be complete sentences.
We need to find the confidence interval for the SLEEP variable. To do this, we need to
find the mean and then find the maximum error. Then we can use a calculator to find the
interval, (x – E, x + E).
First, find the mean. Under that column, in cell E37, type =AVERAGE(E2:E36). Under
that in cell E38, type =STDEV(E2:E36). Now we can find the maximum error of the
confidence interval. To find the maximum error, we use the “confidence” formula. In
cell E39, type =CONFIDENCE.NORM(0.05,E38,35). The 0.05 is based on the
confidence level of 95%, the E38 is the standard deviation, and 35 is the number in our
sample. You then need to calculate the confidence interval by using a calculator to
subtract the maximum error from the mean (x-E) and add it to the mean (x+E).
1. Give and interpret the 95% confidence interval for the hours of sleep a student gets.
(5 points)
(6.73, 7.67) This says that 95% of the values would be between the left and right
endpoints of this interval or 95% of the values would be between 6.73 and 7.67 or there is
a 95% chance that the true population mean would be between 6.73 and 7.67
Then, you can go down to cell E40 and type =CONFIDENCE.NORM(0.01,E38,35) to
find the maximum error for a 99% confidence interval. Again, you would need to use a
calculator to subtract this and add this to the mean to find the actual confidence interval.
2. Give and interpret the 99% confidence interval for the hours of sleep a student gets.
(5 points)
The 99% confidence interval is (5.944, 7.956). We are 99% confident that the mean
number of hours of sleep a student gets is between 5.944 hours and 7.956 hours
3. Compare the 95% and 99% confidence intervals for the hours of sleep a student gets.
Explain the difference between these intervals and why this difference occurs. (5
points)
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