# Math 221 statistics for decision making week 6 ilab

Get a plagiarism free copy of this essay from our experts
Math 221 statistics for decision making week 6 ilab
For as low as \$13/Page

MATH 221 Statistics for Decision Making

Week 6 iLab

Name:

Statistical Concepts:

·         Data Simulation

·         Confidence Intervals

·         Normal Probabilities

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.  (6 points)

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.  (6 points)

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. (6 points)

In the week 2 lab, you found the mean and the standard deviation for the HEIGHT variable for both males and females.  Use those values for follow these directions to calculate the numbers again.

(From week 2 lab: Calculate descriptive statistics for the variable Height by Gender.  Click on Insert and then Pivot Table.  Click in the top box and select all the data (including labels) from Height through Gender.  Also click on “new worksheet” and then OK.  On the right of the new sheet, click on Height and Gender, making sure that Gender is in the Rows box and Height is in the Values box.   Click on the down arrow next to Height in the Values box and select Value Field Settings.  In the pop up box, click Average then OK.  Write these down.  Then click on the down arrow next to Height in the Values box again and select Value Field Settings.  In the pop up box, click on StdDev then OK.  Write these values down.)

You will also need the number of males and the number of females in the dataset.  You can either use the same pivot table created above by selecting Count in the Value Field Settings, or you can actually count in the dataset.

Then in Excel (somewhere on the data file or in a blank worksheet), calculate the maximum error for the females and the maximum error for the males.  To find the maximum error for the females, type =CONFIDENCE.T(0.05,stdev,#), using the females’ height standard deviation for “stdev” in the formula and the number of females in your sample for the “#”.  Then you can use a calculator to add and subtract this maximum error from the average female height for the 95% confidence interval.  Do this again with 0.01 as the alpha in the beginning of the formula to find the 99% confidence interval.

Find these same two intervals for the male data by using the same formula, but using the males’ standard deviation for “stdev” and the number of males in your sample for the “#”.

4.       Give and interpret the 95% confidence intervals for males and females on the HEIGHT variable.  Which is wider and why?  (9 points)

5.       Give and interpret the 99% confidence intervals for males and females on the HEIGHT variable.  Which is wider and why?  (9 points)

6.      Find the mean and standard deviation of the DRIVE variable by using =AVERAGE(A2:A36) and =STDEV(A2:A36).  Assuming that this variable is normally distributed, what percentage of data would you predict would be less than 40 miles?  This would be based on the calculated probability.  Use the formula =NORM.DIST(40, mean, stdev,TRUE).  Now determine the percentage of data points in the dataset that fall within this range.  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?   (12 points)

 Mean ______________             Standard deviation ____________________     Predicted percentage ______________________________     Actual percentage _____________________________   Comparison ___________________________________________________   ______________________________________________________________

7.      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?  Subtract the probabilities found through =NORM.DIST(70, mean, stdev, TRUE) and =NORM.DIST(40, mean, stdev, TRUE) for the “between” probability.  To get the probability of over 70, use the same =NORM.DIST(70, mean, stdev, TRUE) and then subtract the result from 1 to get “more than”.  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 there a difference?   (12 points)

 Predicted percentage between 40 and 70 ______________________________     Actual percentage _____________________________________________       Predicted percentage more than 70 miles ________________________________     Actual percentage ___________________________________________   Comparison ____________________________________________________   _______________________________________________________________   Why?  __________________________________________________________   ________________________________________________________________

## Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
\$26
The price is based on these factors:
Number of pages
Urgency
Basic features
• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee
On-demand options
• Writer’s samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources
Paper format
• 275 words per page
• 12 pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, Chicago/Turabian, Harvard)

# Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

### Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

### Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

### Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.