MAT 107
Course Project
Directions: Please complete the following statistical analyses for the sample data given below. If you do the work for this project by hand, you must show the work you do to arrive at your results. If you use technology (Excel, StatCrunch, graphing calculator, etc.) to obtain the results, you must state the technology you used to obtain the results.
Here is the sample data set you will be using for all parts of this project:
Cholesterol Levels for 30 Random People:
193, 208, 240, 215, 242, 253, 214, 205, 206, 203, 210, 188, 215, 199, 193,288, 220, 223, 200, 240, 196, 206, 201, 210, 208, 164, 194, 199, 204, 199
Part 1 – due at 11:59 pm on Mon. April 19
1. Construct a grouped frequency distribution for the sample data. Use 6 classes. Use the minimum data value as the lower limit of the first class. (18 points)
Class
Limits
Class
Boundaries
Frequency
Relative
Frequency
Cumulative Frequency
Midpoint
2. Draw a histogram for the data set. Title the graph and label the axes appropriately. (6 points)
3. Does the distribution appear to be normal (yes or no)? Explain. (2 points)
4. Find the following descriptive statistics for the sample data. (20 points)
Mean
Median
Mode(s)
Range
Variance
Standard Deviation
5. Find the 5-number summary for the data. (11 points)
Min = _______________
Q1 = _______________
Q2 = _______________
Q3 = _______________
Max = _______________
6. Sketch a box plot. Do your best to draw it to scale. Be sure to title the graph. (7 points)
7. What is the IQR for this data set? ____________ (2 points)
8. Outlier identification. (4 points)
Any data value less than ________or greater than_______ is to be considered an outlier.
Therefore, the following data values are outliers (write “none” if there are no outliers):
Part 2 – due at 11:59 pm on Sun. May 9
9. Construct a 95% confidence interval for the population’s mean. (7 points)
____________ < μ < ____________
10. If someone were to ask you what this particular confidence interval means, what would you say? (3
points)
11. Test the hypothesis that the population’s mean is different from the sample’s median value.
Use α = 0.05. (20 points)
Null hypothesis (H0): _____________________
Alternative hypothesis (H1): ________________
Type of Test: ____________________________
Critical value: ____________
or
P-value: ____________
Test statistic: ____________
Conclusion:
Do you reject the null hypothesis(yes or no)? _________
(Show all work.)
If someone were to ask what the conclusion means in this particular study, what would you say?
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.
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.
Read moreEach 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.
Read moreThanks 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.
Read moreYour email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.
Read moreBy sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.
Read more