Reflec%on 3: Please complete this worksheet before taking the quiz. Due Date is February 15 In a previous lecture we looked at roller coaster data which included the following variables: •
Name •
Park •
Type: Wood or Steel •
Dura@on: Seconds •
Speed: miles per hour •
Height: feet •
Drop: feet •
Length: feet •
Inversion: yes, no This data is available in a Minitab Project. Use this data to answer the following ques@ons. Refer to the Minitab Guide, along with what you used to help complete Lab 2.1 and Lab 2.2-2.3 when using Minitab. 1.
How many cases are found in this data set? How many variables are found with this data set? 87 cases 2.
What propor@on of the roller coasters have a steel track? .77 3.
What propor@on of the roller coasters have an Inversion? .517 Create a two-way table to summarize the two variables: “Type” and “Inversion” 4.
How many of the wood roller coasters have an inversion? 45 5.
How many of the steel roasters coasters don’t have an inversion? 42 Consider the variable dura%on
: 6.
Make a histogram of this variable. What shape do you find? Does the value of the mean and median support this shape? Symmetrical, yes Consider the variable drop. 7.
Obtain a five-number summary for this variable
. 8.
Calculate the IQR
. What does this quan@ty represent? Is it “resistant” or “nonresistant.”
82 and resistant Consider the variable length. 9.
Obtain the mean and standard devia@on. Calculate a Z-score for the roller coaster listed as Case 2. Interpret this Z-score. Mean is 3648 and the standard devia@on is 1455. Z-score is 1.24536 © The Pennsylvania State University (Patricia M Buchanan)
47.00
95.00
141.00
177.0
300.00
