a. Determine the sampling distribution of the sample mean for samples of size 3. Interpret your answer in terms of the distribution of all possible sample mean brain weights for samples of three men. The mean of the sample mean is u; = kg. (Type an integer or a decimal. Do not round.) The standard deviation of the sample mean is o; = kg. (Round to four decimal places as needed.) Interpret these answers in context. For V the V brain weights have a normal distribution with mean of kg and a standard deviation of kg. (Type integers or decimals rounded to four decimal places as needed.) b. Repeat part (a) for samples of size 12. The mean of the sample mean is u; = (Type an integer or a decimal. Do not round.) The standard deviation of the sample mean is o: = (Round to four decimal places as needed.) Interpret these answers in context. For V the V brain weights have a normal distribution with a mean of kg and a standard deviation of kg.
a. Determine the sampling distribution of the sample mean for samples of size 3. Interpret your answer in terms of the distribution of all possible sample mean brain weights for samples of three men. The mean of the sample mean is u; = kg. (Type an integer or a decimal. Do not round.) The standard deviation of the sample mean is o; = kg. (Round to four decimal places as needed.) Interpret these answers in context. For V the V brain weights have a normal distribution with mean of kg and a standard deviation of kg. (Type integers or decimals rounded to four decimal places as needed.) b. Repeat part (a) for samples of size 12. The mean of the sample mean is u; = (Type an integer or a decimal. Do not round.) The standard deviation of the sample mean is o: = (Round to four decimal places as needed.) Interpret these answers in context. For V the V brain weights have a normal distribution with a mean of kg and a standard deviation of kg.
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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Transcribed Image Text:c. Construct a graph of the normal population distribution and the two sampling distributions for brain weights. Choose the correct graph below.
O A.
В.
С.
D.
n= 3
n= 12
Pop
Роp
n= 12
n= 3
n= 12
n= 3
n= 3
n= 12
Роp
Рop
12
1.2
1.2
12
d. Determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.20 kg. Interpret your answer in terms of sampling error.
(Round to two decimal places as needed.)
This is the percentage that the sampling error made in estimating
by that of
V will be
V 0.1 kg
e. Repeat part (d) for samples of size 12.
The percentage of all samples of 12 men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.20 kg is %.
(Round to two decimal places as needed.)
This is the percentage that the sampling error made in estimating
V by that of
V will be
V 0.1 kg.
Transcribed Image Text:According to one study, brain weights of men are normally distributed with a mean of 1.20 kg and a standard deviation of 0.12 kg. Use the data to answer parts (a) through (e).
Click here to view page 1 of the table of areas under the standard normal curve)
Click here to view page 2 of the table of areas under the standard normal curve.
a. Determine the sampling distribution of the sample mean for samples of size 3. Interpret your answer in terms of the distribution of all possible sample mean brain weights for samples of three men.
The mean of the sample mean is µ; = kg.
(Type an integer or a decimal. Do not round.)
The standard deviation of the sample mean is o; = kg.
(Round to four decimal places as needed.)
Interpret these answers in context.
For
V the
V brain weights have a normal distribution with a mean of
kg and a standard deviation of
kg.
(Type integers or decimals rounded to four decimal places as needed.)
b. Repeat part (a) for samples of size 12.
The mean of the sample mean is µ; =||
(Type an integer or a decimal. Do not round.)
The standard deviation of the sample mean is o, =
(Round to four decimal places as needed.)
Interpret these answers in context.
For
V the
V brain weights have a normal distribution with a mean of
kg and a standard deviation of
kg.
(Type integers or decimals rounded to four decimal places as needed.)
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