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MATH 221 Week 6 Lab Assignment (iLAB 6) | RATED A+ | DeVry University

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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 spreadsheet. Then we can the Week 5 spreadsheet to find the confidence interval. First, find the mean and standard deviation by copying the SLEEP variable and pasting it into the Week 1 spreadsheet. Write down the mean and the sample standard deviation as well as the count. Open the Week 5 spreadsheet and type in the values needed in the green cells at the top. The confidence interval is shown in the yellow cells as the lower limit and the upper limit. Give and interpret the 95% confidence interval for the hours of sleep a student Give and interpret the 99% confidence interval for the hours of sleep a student 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 Give and interpret the 95% confidence intervals for males and females on the HEIGHT variable. Which is wider and why? Give and interpret the 99% confidence intervals for males and females on the HEIGHT variable. Which is wider and why? Find the mean and standard deviation of the DRIVE variable by copying that variable into the Week 1 spreadsheet. Use the Week 4 spreadsheet to determine the percentage of data points from that data set that we would expect to be less than 40. To find the actual percentage in the dataset, sort the DRIVE variable and count how many of the data points are less than 40 out of the total 35 data points. That is the actual percentage. How does this compare with your prediction? What percentage of data would you predict would be between 40 and 70 and what percentage would you predict would be more than 70 miles? Use the Week 4 spreadsheet again to find the percentage of the data set we expect to have values between 40 and 70 as well as for more than 70. Now determine the percentage of data points in the dataset that fall within this range, using same strategy as above for counting data points in the data set. How do each of these compare with your prediction and why is Show Less

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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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