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2 answers:
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Answer:
Hence MAD=0.8
Step-by-step explanation:
<u>MAD-</u>
MAD is also known as Mean Absolute Deviation.
We find MAD by the following steps:
- Firstly we find the mean of the data
- Then we subtract each entry from the mean to obtain the deviation
- Then find the absolute value of the deviation which is also known as absolute deviation.
- Finally we find the mean of the absolute deviation.
Now we are given a table of the absolute deviation we just need to calculate the mean of the absolute deviation.
The absolute deviation is given as:
1 3 1 0 0 1 0 0 1 1
The mean of this is calculated as:
Hence, MAD=0.8
Answer:
Option D -
Step-by-step explanation:
Given : The manufacturer measures 19 randomly selected dowels and finds the standard deviation of the sample to be s=0.16.
To find : The 95% confidence interval for the population standard deviation sigma?
Solution :
Number of sample n=19
The degree of freedom is Df=n-1=19-1=18
The standard deviation of the sample is s=0.16
Applying chi-square table to find critical value,
Upper critical value of is
Lower critical value of is
Lower limit of the 95% confidence interval for the population variance
Upper limit of the 95% confidence interval for the population variance
So, The 95% confidence interval for the population variance is [0.0146, 0.0560]
Now, The 95% confidence interval for the population standard deviation is
or
Therefore, Option D is correct.
The 95% confidence interval for the population standard deviation is