Asked by Elizabeth Olayinka on Jul 13, 2024
Verified
Based on the Normal model for car speeds (in km/h) on a road N(77,9.1) ,what are the cutoff values for the middle 20% of the speeds?
A) about 84.7 km/h,about 69.3 km/h
B) about 86.1 km/h,about 67.9 km/h
C) about 61.6 km/h,about 92.4 km/h
D) about 95.2 km/h,about 58.8 km/h
E) about 74.7 km/h,about 79.3 km/h
Normal Model
A statistical representation where data points form a bell-shaped curve around the mean, indicating a normal distribution.
Cutoff Values
Specific points on a scale that separate data into distinct categories or groups for analysis.
Car Speeds
The velocities at which cars travel, usually measured in miles per hour (mph) or kilometers per hour (kph).
- Identify cutoff values for middle percentages in a normal distribution.
Verified Answer
CM
Christian MillesonJul 14, 2024
Final Answer :
E
Explanation :
The middle 20% of speeds would be centered around the mean (77 km/h) of the normal distribution. Choices A, B, C, and D all have cutoff values that are not symmetrically distributed around the mean. Choice E, with cutoff values of about 74.7 km/h and about 79.3 km/h, is the only one that is symmetrically distributed around the mean, fitting the characteristic of a normal distribution for the middle 20%.
Learning Objectives
- Identify cutoff values for middle percentages in a normal distribution.
Related questions
Based on the Normal Model for Car Speeds (In Km/h)on ...
The Mayor of the City of Detroit Was Informed That ...
After Increased Patrol,cars on a Road Travel at Speeds Averaging ...
What Percentage of Scores Fall Between the Following Z Scores ...
The Weight of Football Players Is Normally Distributed with a ...