stics fall20estion 4The weights in pounds (x ) of newborn babies are listed below:ot yetsweredarked out of5.4 5.5 5.7 5.8 5.9 6.1 6.1 6.4 6.4 6.5 6.6 6.7 6.7 6.7 7.0Flag question7.0 7.0 7.1 7.2 7.2 7.4 7.5 7.7 7.7 7.8 8.0 8.1 8.1 8.3 8.7Find an interval centred at the mean that contains at least 64% of the data.Note: For this sample. Ex = 208.3 and Ex= 1468.49Answer

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Description: stics fall20estion 4The weights in pounds (x ) of newborn babies are listed below:ot yetsweredarked out of5.4 5.5 5.7 5.8 5.9 6.1 6.1 6.4 6.4 6.5 6.6 6.7 6.7 6.7 7.0Flag question7.0 7.0 7.1 7.2 7.2 7.4 7.5 7.7 7.7 7.8 8.0 8.1 8.1 8.3 8.7Find an inte

Answered: The weights in pounds (x ) of newborn…

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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stics fall20
estion 4
The weights in pounds (x ) of newborn babies are listed below:
ot yet
swered
arked out of
5.4 5.5 5.7 5.8 5.9 6.1 6.1 6.4 6.4 6.5 6.6 6.7 6.7 6.7 7.0
Flag question
7.0 7.0 7.1 7.2 7.2 7.4 7.5 7.7 7.7 7.8 8.0 8.1 8.1 8.3 8.7
Find an interval centred at the mean that contains at least 64% of the data.
Note: For this sample. Ex = 208.3 and Ex= 1468.49
Answer

Expert Solution

Explanation

1) The data which is given is weights in pounds and is a raw data without frequency attached with it.

2) The confidence interval has to be found in order to get an idea of the range of true mean values.

3) Given above is a sample of 30 observations. With the confidence interval, it can be inferred that when multiple populations each of size 30 is taken, the true population mean would lie between the confidence interval which will be computed for the data given.

4) The formula for confidence interval is

$μ \pm z_{1 - α / 2} σ$

where,

$μ$ = Mean

$σ$ = Standard Deviation

$Z_{1 - α / 2}$ = z - statistic table value

Since at least 64% of the data is given the equation is $\geq$ 64, the alpha value used is $α$ /2.

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