Given the times required for a group of students to complete the physical fitness obstacle course result in a normal curve, and that the mean time 55 minutes and the standard deviation is 5, Z= -3 -2 -1 0 1 2 3 |X= 1. What percent took longer than 65 minutes? 2. What percent took less than 65 minutes? 3. What percent took between 45 and 60 minut

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

Please fill in the yellow

Empirical Rule:
μ-30
4-20
MEMORIZE THIS!!!
4-0
68% of the data -
95% of the data
99.7% of the data
L
4+0
4+20
4+30
BetweenLess than --3 and -2 -2 and -1 -1 and 0 0 and 1 1 and 2 2 and 3 More than 3
Area dec.
Area %
MEMORIZE THIS!!!
Given that the scores on a test are normally distributed, that the mean score is 82 and the standard deviat
-3
-2
-1
0
1
2
3
|Z=
X=
1. What percent scored less than 76?
2. What percent scored less than 88?
3. What percent scored more than 94?
4.2.5% scored less than what value.
Given the times required for a group of students to complete the physical fitness obstacle course result
in a normal curve, and that the mean time 55 minutes and the standard deviation is 5,
-3
-2
-1
0
1
2
3
7 =
||X=
1. What percent took longer than 65 minutes?
2. What percent took less than 65 minutes?
3. What percent took between 45 and 60 minut
4. What percent took between 60 and 70 minut
5. What percent were faster than 50 minutes?
Transcribed Image Text:Empirical Rule: μ-30 4-20 MEMORIZE THIS!!! 4-0 68% of the data - 95% of the data 99.7% of the data L 4+0 4+20 4+30 BetweenLess than --3 and -2 -2 and -1 -1 and 0 0 and 1 1 and 2 2 and 3 More than 3 Area dec. Area % MEMORIZE THIS!!! Given that the scores on a test are normally distributed, that the mean score is 82 and the standard deviat -3 -2 -1 0 1 2 3 |Z= X= 1. What percent scored less than 76? 2. What percent scored less than 88? 3. What percent scored more than 94? 4.2.5% scored less than what value. Given the times required for a group of students to complete the physical fitness obstacle course result in a normal curve, and that the mean time 55 minutes and the standard deviation is 5, -3 -2 -1 0 1 2 3 7 = ||X= 1. What percent took longer than 65 minutes? 2. What percent took less than 65 minutes? 3. What percent took between 45 and 60 minut 4. What percent took between 60 and 70 minut 5. What percent were faster than 50 minutes?
Expert Solution
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Note: As we are entitled to solve one question with three subparts at a time I will answer 2nd one as some information is missing in the first question, please submit other questions one at a time to get them answered.

Given that,

The random variable X is the times required for a group of students to complete the physical test fitness obstacle course

It is normally distributed.

X~N(μ=55,σ=5)

The formula for the Z-score is 

Z=X-μσ

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