MAT 107: Statistical Analysis
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)

____________ < ? < ____________ 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 ? = 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?