Explain what the whether the differences are significant what it means
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Explain what the whether the differences are significant what it means

Transcribed Image Text:0.007
Distribution of Number of Hits in Baseball Games
(The resalts are summarized in the tables below.)
P(0) = Co(0.29)°(0.71)=-0 =-OLO (0.29)°C0.71)* = 0.1804
(5- 0): 0!
The official website of Major League Baseball, MLB.com records detailed statistics about players
and games.
Games with Three At-Bats
Games with Four At-Bats
(The results are summarized in the tables below.)
During the 2012 regular season, Dustin Pedcoia of the Boston Red Sox had a batting average of
0.290. The graphs below show the number of hits he had in games in which he had different mumbers of
at-bats.
040
Games with Three At-Bats
Games with Four At-Bats
0.400 0.400
0.440
0.0
Games with Three s
0.200 0.000
0.40
0.240
0.227
0.093 0.000
0.30
12
12
0.00
0.358 0.439
10.415
Number of hits per game
0.179 0.024
0.254
0.254.069
Number of hits per game
10.007
000
1 2
Number of hits per game
Gemes with Feur ts
Number of hits per game
33
18
Games with Five At-Bats
Games with Five At-Bats
Games with five Aas
0.400 0.467
0.033 0.000 0.000
0
0.100
10.3680.301
Number of hits per game
0.10 0.180
0.123 0.025 0.002
0.00
2. Construct binomial probability
2
Number of hits per game
Exercises
distributions for p-0.290 and
1. Construct a probability distribution for
2 The number of hits in games with three at-bats.
b. The number of hits in games with four at-bats.
e. The number of hits in games with five at-bata.
P(x) = „Crp*q*- =
a n-3.
3!
PO hits)-of timer had o kire
totalef a bate
P(0) = ;Co(0.29) (0.71)2-0 =-Ovg (0.29) (0.71) = 0.3579
Hint:
4.
Rof times had 1 hits
sete
P(1 hit) =rotel of at bats
4!
P(0) = Co(0.29)°(0.71)-0 =
-OU
(0.29)*(0.71)* = 0.2541
(4- 0)1 01

Transcribed Image Text:Difference between actual and calculated
3. Compare your distributions from Exercise 1 and Exercise 2. Is a binomial distribution a good
model for determining the numbers of hits in a baseball game for a given number of at bats?
Explain your reasoning and include a discussion of the four conditions for a binomial experiment.
The criteria for a binomial experiment are:
-0.040
-0.030
-0.020
(The results are summarized in the tables below.)
-0.010
0.000
0.010
0.020
0.030
Difference between actual and calculated
Difference between actual and calculated
4
finswes
thin
-0.060
-0.040
-0. 150
-a. 100
-0.020
0.000
0.020
-0.050
0.000
0.050
0.040
0.060
0.100
0.150
0.200
Explain what the whether the differences are significant what it means ..
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