Homework Help is Here – Start Your Trial Now!
Math
Statistics
1. Assume the speed of vehicles along an open stretch of a certain highway in Texas that is not heavily traveled has an approximately Normal distribution with a mean of 71 mph and a standard deviation of 3.125 mph. (Make sure to show how you got your answers) a) The current posted speed limit is 65 mph. What is the proportion of vehicles going above the current posted speed limit? b) What proportion of the vehicles would be going less than 50 mph? c) What proportion of the vehicles would be going between 60 and 75 mph?

1. Assume the speed of vehicles along an open stretch of a certain highway in Texas that is not heavily traveled has an approximately Normal distribution with a mean of 71 mph and a standard deviation of 3.125 mph. (Make sure to show how you got your answers) a) The current posted speed limit is 65 mph. What is the proportion of vehicles going above the current posted speed limit? b) What proportion of the vehicles would be going less than 50 mph? c) What proportion of the vehicles would be going between 60 and 75 mph?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
See similar textbooks
icon
Related questions
Topic Video
Question

Question 1 needs to be answered.

1. Assume the speed of vehicles along an open stretch of a certain highway in Texas that is not heavily traveled has an approximately Normal distribution with a mean of 71 mph and a standard deviation of 3.125 mph. (Make sure to show how you got your answers) a) The current posted speed limit is 65 mph. What is the proportion of vehicles going above the current posted speed limit? b) What proportion of the vehicles would be going less than 50 mph? c) What proportion of the vehicles would be going between 60 and 75 mph? d) State authorities are cognizant of the road not being heavily trafficked, and that it can handle a higher speed limit. However, they now will implement a high fee for speeding over the new speed limit in order to ensure some level of overall safety. Speeds will be checked by radar. Assume the same Normal distribution of vehicle speeds continues into the future as in the past. What should be the new speed limit such that only about 10% of vehicles will be speeding over the new posted speed limit? Show all of your reasoning/work in answering this. 2. Assume that IQ scores follow a Normal distribution with u=100 and o=16. Using our IQR rule for determining IQ score outliers, what IQ scores would establish the lower and upper fences for determining outliers? (Make sure to show how you got your answers)
Transcribed Image Text:1. Assume the speed of vehicles along an open stretch of a certain highway in Texas that is not heavily traveled has an approximately Normal distribution with a mean of 71 mph and a standard deviation of 3.125 mph. (Make sure to show how you got your answers) a) The current posted speed limit is 65 mph. What is the proportion of vehicles going above the current posted speed limit? b) What proportion of the vehicles would be going less than 50 mph? c) What proportion of the vehicles would be going between 60 and 75 mph? d) State authorities are cognizant of the road not being heavily trafficked, and that it can handle a higher speed limit. However, they now will implement a high fee for speeding over the new speed limit in order to ensure some level of overall safety. Speeds will be checked by radar. Assume the same Normal distribution of vehicle speeds continues into the future as in the past. What should be the new speed limit such that only about 10% of vehicles will be speeding over the new posted speed limit? Show all of your reasoning/work in answering this. 2. Assume that IQ scores follow a Normal distribution with u=100 and o=16. Using our IQR rule for determining IQ score outliers, what IQ scores would establish the lower and upper fences for determining outliers? (Make sure to show how you got your answers)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Research Design Formulation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS