Z16The central limit theorem allows us to use the normal distribution for data whose distribution we don't know as long as our sample size is small enough.TrueFalseQuestionThe time it takes to learn to play piano is normally distributed with mean 15months and standard deviation 3 months.@2WS3X80ED$4aF4Rс%5FF5T171018What is the probability that it takes exactly 15 months to learn to play the pianType your answer...19What is the probability that it takes more than 14 months to learn to play pType your answer...GF620What is the probability that it takes between 12 and 13 months to learpiano?Type your answer...What is the amount of months that it takes to learn piano such thaplayers take more time than that? Round to 2 decimal places.Type your answer...&Y7HV B☆5²1.01221NF9M

Answered: The central limit theorem allows us to…

The central limit theorem allows us to use the normal distribution for data whose distribution we don't know as long as our sample size is small enough. True False

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

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16
The central limit theorem allows us to use the normal distribution for data whose distribution we don't know as long as our sample size is small enough.
True
False
Question
The time it takes to learn to play piano is normally distributed with mean 15
months and standard deviation 3 months.
@
2
W
S
3
X
80
E
D
$
4
a
F4
R
с
%
5
F
F5
T
17
10
18
What is the probability that it takes exactly 15 months to learn to play the pian
Type your answer...
19
What is the probability that it takes more than 14 months to learn to play p
Type your answer...
G
F6
20
What is the probability that it takes between 12 and 13 months to lear
piano?
Type your answer...
What is the amount of months that it takes to learn piano such tha
players take more time than that? Round to 2 decimal places.
Type your answer...
&
Y
7
H
V B
☆
5²1.012
21
N
F9
M

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When using the central limit theorem for means with n = 60, it is not necessary to assume the distribution of the population data is normally distributed. True False
The distribution used for small sample size (n<30) changes based on the size of the sample. True False
Part 1. The central limit theorem only applies when the original distribution is normal. True or false? Part 2. The shape of the t distribution is impacted by the size of the sample used to generate it. True or false?