An athletics coordinator collected the 100-meter sprint times for 15-year old students at Ryde Secondary College. The sprint time assumes to follow a normal distribution with a mean of u= 14.23 seconds and a variance of o? = 0.6561 seconds?. %3D Draw diagrams to help you solve the following problems 1. For a group of 41 fifteen-year students randomly selected at Ryde Secondary College, how many of them will have a 100-meter sprint time of 15.18 seconds or less? (integer) 2. How fast does a 15-year old student at Ryde Secondary College have to run to be the fastest 16% of 100-meter sprinters? (3dp) (Hint: Draw a diagram to help check whether your answer makes sense or not) The sprint time for a randomly selected 15-year student at Ryde Secondary College 3. ranges between 1.416 standard deviations below the mean of a standard normal distribution and 1.618 standard deviations above the mean of a standard normal distribution. What is the probability of another randomly selected 15-year student having the same sprint time range? (3dp) (Hint: Draw a standard normal diagram and clearly label the information onto the graph. Be careful with the sign.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
icon
Related questions
Question
An athletics coordinator collected the 100-meter sprint
times for 15-year old students at Ryde Secondary
College. The sprint time assumes to follow a normal
distribution with a mean of u= 14.23 seconds and a
variance of o? = 0.6561 seconds?.
Draw diagrams to help you solve the following
problems
For a group of 41 fifteen-year students
randomly selected at Ryde Secondary College,
1.
how many of them will have a 100-meter sprint
time of 15.18 seconds or less?
(integer)
How fast does a 15-year old student at
Ryde Secondary College have to run to be the
fastest 16% of 100-meter sprinters?
2.
(3dp) (Hint: Draw a diagram to help check
whether your answer makes sense or not)
The sprint time for a randomly selected
15-year student at Ryde Secondary College
ranges between 1.416 standard deviations
3.
below the mean of a standard normal
distribution and 1.618 standard deviations above
the mean of a standard normal distribution.
What is the probability of another randomly
selected 15-year student having the same sprint
time range?
(3dp) (Hint: Draw a standard normal diagram
and clearly label the information onto the graph.
Be careful with the sign.)
Transcribed Image Text:An athletics coordinator collected the 100-meter sprint times for 15-year old students at Ryde Secondary College. The sprint time assumes to follow a normal distribution with a mean of u= 14.23 seconds and a variance of o? = 0.6561 seconds?. Draw diagrams to help you solve the following problems For a group of 41 fifteen-year students randomly selected at Ryde Secondary College, 1. how many of them will have a 100-meter sprint time of 15.18 seconds or less? (integer) How fast does a 15-year old student at Ryde Secondary College have to run to be the fastest 16% of 100-meter sprinters? 2. (3dp) (Hint: Draw a diagram to help check whether your answer makes sense or not) The sprint time for a randomly selected 15-year student at Ryde Secondary College ranges between 1.416 standard deviations 3. below the mean of a standard normal distribution and 1.618 standard deviations above the mean of a standard normal distribution. What is the probability of another randomly selected 15-year student having the same sprint time range? (3dp) (Hint: Draw a standard normal diagram and clearly label the information onto the graph. Be careful with the sign.)
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt