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STAT 2160-Construct an appropriate graph for the Speed

by | Dec 1, 2023 | Posted Questions

Inference Galore!
Organize all of your results from Minitab in this document. Make it look "nice" for full credit
(remove unnecessary space, do not have tables divided between to pages, etc.) You will need to
submit your file as a PDF with the name of your file as "{Last Name}-{First Name}-Lab 2" on
Elearning. 

1. Construct an appropriate graph for the Speed. Describe the data. 
2. How can we determine whether or not the sample of Speed come from a normal
distribution? Run the appropriate test and interpret the results. 
3. Create a 95% confidence interval for the proportion of accident type in 2010. Interpret
your result. 
4. Calculate a 95% confidence interval for the average speed of all trains that had an accident
in 2010. Remember to interpret your interval. Is there a significant average difference between the equipment damage and track damage
costs for the train accidents? We have damage costs reported for each train for equipment and
cost. Note that we have two measurements for train. That is, the pair of equipment damage and
track damage depend on which train they were collected on.

5. Estimate the average difference with 90% confidence in reported equipment damage and
track damage costs for trains in 2010. Interpret the confidence interval. 
6. Construct a box plots for the individual costs of equipment damage and track damage.
Comment using your findings using the confidence interval from the previous question. Suppose there was a recent railroad collision and people were injured. Citizens are concerned
about the safety of railroad tracks. Examine the injuries involved with derailments versus
collisions.
7. Let’s see how accident type effects injuries involved in train accidents. Create a
comparative boxplot to visualize these differences, if any. Comment on what you see. 8. Now, is there a significant difference in injuries for collision and derailment accidents in
2010 with 90% confidence? Let’s examine the effect of sample size on accuracy of the sample estimate for the population
mean total accident cost.
9. State and interpret a 95% confidence interval estimate for the population mean total
accident cost with a sample size of 100. 10. State and interpret a 95% confidence interval estimate for the population mean total
accident cost with a sample size of 300.
11. State and interpret a 95% confidence interval estimate for the population mean total
accident cost with a sample size of 1000.
12. Compare and contrast the previous three intervals with the true population mean.
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