Directions: Please complete the statistical analyses on that pages that follow for the sample data 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, graphing calculator, etc.) to obtain the results, you must state the technology you used to obtain the results.
Project Data: Lengths of 30 random rivers in the world measured in miles
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431
800
485
500
800
309
926
790
618
383
375
605
425
380
531
538
434
300
540
800
420
301
659
865
360
512
424
338
430
652
1. (10 points) 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.
Class
Limits
Class
Boundaries
Frequency
Relative
Frequency
Cumulative Frequency
2. (3 points) Draw a histogram for the data set. Title the graph and label the axes appropriately.
3. (2 points) Does the distribution appear to be normal (yes or no)? Explain.
4. (10 points) Find the following descriptive statistics for the sample data.
Mean
Median
Mode(s)
Range
Standard Deviation
5. (3 points) Find the quartiles for the data.
Q1 = _______________
Q2 = _______________
Q3 = _______________
6. (2 points) Sketch a box plot. Do your best to draw it to scale.
7. (2 point) What is the IQR for this data set? ____________
8. (3 points) Outlier identification
Any value in this data set that is
less than ________ or greater than _______ is to be considered an outlier.
Therefore, the following values in this data set are outliers (write “none” if there are no outliers):
9. (3 points) Construct a 95% confidence interval for the population’s mean.
____________ < μ < ____________
10. (2 points) If someone were to ask you what this particular confidence interval means, what would you say?
11. (10 points) Test the hypothesis that the population’s mean is different from the sample’s median value. Use the traditional method. Use α = 0.05.
Alternative hypothesis (H1): ________________
Null hypothesis (H0): _____________________
Critical value: ____________
Test statistic: ____________
Conclusion:
Do you reject the null hypothesis (yes or no)? _________
If someone were to ask what the conclusion means in this particular study, what would you say?
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