According to one study, brain weights of men are normally distributed with a mean of 1.50 kg and a standard deviation of 0.13 kg. Use the data to answer parts (a) through (e). 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.) c. Construct a graph of the normal population distribution and the two sampling distributions for brain weights. Choose the correct graph below. OA. OB. OC. OD. Pop Pop n= 12 n= 3 n= 12 n= 3 n= 3 n= 12 n= 3 n= 12 Pop Pop 1.5 is 15 1.5 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 1.50 kg. Interpret your answer in terms of sampling error. D% (Round to two decimal places as needed.) This is the percentage that the sampling error made in estimating by that of will be 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 1.50 kg is %. (Round to tun decimal nlares as needed)
According to one study, brain weights of men are normally distributed with a mean of 1.50 kg and a standard deviation of 0.13 kg. Use the data to answer parts (a) through (e). 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.) c. Construct a graph of the normal population distribution and the two sampling distributions for brain weights. Choose the correct graph below. OA. OB. OC. OD. Pop Pop n= 12 n= 3 n= 12 n= 3 n= 3 n= 12 n= 3 n= 12 Pop Pop 1.5 is 15 1.5 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 1.50 kg. Interpret your answer in terms of sampling error. D% (Round to two decimal places as needed.) This is the percentage that the sampling error made in estimating by that of will be 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 1.50 kg is %. (Round to tun decimal nlares as needed)
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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Solve for all parts of the question correctly please ( no need to show too much work)
Transcribed Image Text:According to one study, brain weights of men are normally distributed with a mean of 1.50 kg and a standard deviation of 0.13 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.
%3D
(Type an integer or a decimal. Do not round.)
The standard deviation of the sample mean is
kg.
(Round to four decimal places as needed.)
Interpret these answers in context.
For
V the
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
(Type an integer or a decimal. Do not round.)
The standard deviation of the sample mean is o, =.
Transcribed Image Text:According to one study, brain weights of men are normally distributed with a mean of 1.50 kg and a standard deviation of 0.13 kg. Use the data to answer parts (a) through (e).
--...
Interpret these answers in context.
For
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.)
c. Construct a graph of the normal population distribution and the two sampling distributions for brain weights. Choose the correct graph below.
OA.
OB.
OC.
OD.
Pop
Рop
n= 12
n= 3
n= 12
n = 3
n= 3
n= 12
n= 3
n= 12
Pop
Pop
1.5
1.5
1.5
1.5
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 1.50 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
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 1.50 kg is %.
(Round to two decimal nlaces as needed )
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