Calculating No quiz or a test! For each question, be sure to draw the appropriate sketches and show the appropriate formulas. Show your work as if this was a Ms. Smith spent Saturday at RPM Raceway driving race cars and competing against her brother! For 400 laps, she recorded her lap time in minutes. At the end of the day, she plots the distribution of times and realizes that it follows an approximately normal distribution with a mean of 1.84 and a standard deviation of .07, in this range? Interpret your result in the context of the problem. (Here, proportion is synonymous with area under the 1. Ms. Smith would really like her lap times to be consistently between 1.75 and 1.85 minutes. What proportion of her laps were curve percentage). 2. In order to beat her brother, Ms. Smith needs to have lap times that are less than 1.72 minutes. Find the proportion of laps that were faster than 1.72 minutes. Interpret your result in the context of the problem. In what proportion of lap times did it take Ms. Smith more than 2 minutes? Interpret your result in the context of the problem.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Show work
Name:
Date:
Calculating Normality Review Worksheet
quiz or a test!
For each question, be sure to draw the appropriate sketches and show the appropriate formulas. Show your work as if this was a
recorded her lap time in minutes. At the end of the day, she plots the distribution of times and realizes that it follows an
Ms. Smith spent Saturday at RPM Raceway driving race cars and competing against her brother! For 400 laps, she
approximately normal distribution with a mean of 1.84 and a standard deviation of .07.
in this range? Interpret your result in the context of the problem. (Here. proportion is synonymous with area under the
1. Ms. Smith would really like her lap times to be consistently between 1.75 and 1.85 minutes. What proportion of her laps were
curve percentage).
2. In order to beat her brother, Ms. Smith needs to have lap times that are less than 1.72 minutes. Find the proportion of laps that
were faster than 1.72 minutes. Interpret your result in the context of the problem.
Notes
3. In what proportion of lap times did it take Ms. Smith more than 2 minutes? Interpret your result in the context of the problem.
4. What lap time is necessary for Ms. Smith to be in the fastest 3% of all his laps? Interpret your result in the context of the
problem.
Transcribed Image Text:Name: Date: Calculating Normality Review Worksheet quiz or a test! For each question, be sure to draw the appropriate sketches and show the appropriate formulas. Show your work as if this was a recorded her lap time in minutes. At the end of the day, she plots the distribution of times and realizes that it follows an Ms. Smith spent Saturday at RPM Raceway driving race cars and competing against her brother! For 400 laps, she approximately normal distribution with a mean of 1.84 and a standard deviation of .07. in this range? Interpret your result in the context of the problem. (Here. proportion is synonymous with area under the 1. Ms. Smith would really like her lap times to be consistently between 1.75 and 1.85 minutes. What proportion of her laps were curve percentage). 2. In order to beat her brother, Ms. Smith needs to have lap times that are less than 1.72 minutes. Find the proportion of laps that were faster than 1.72 minutes. Interpret your result in the context of the problem. Notes 3. In what proportion of lap times did it take Ms. Smith more than 2 minutes? Interpret your result in the context of the problem. 4. What lap time is necessary for Ms. Smith to be in the fastest 3% of all his laps? Interpret your result in the context of the problem.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman