Math 107 Course Project

MAT 107

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)

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)  

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?