The range for a set of data is estimated to be 56.a. What is the planning value for the population standard deviation?14b. At 95% confidence, how large a sample would provide a margin of error of 3? Round up to the next whole numberc. At 95% confidence, how large a sample would provide a margin of error of 2? Round up to the next whole number.

Question
Asked Jun 14, 2019
The range for a set of data is estimated to be 56.
a. What is the planning value for the population standard deviation?
14
b. At 95% confidence, how large a sample would provide a margin of error of 3? Round up to the next whole number
c. At 95% confidence, how large a sample would provide a margin of error of 2? Round up to the next whole number.
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The range for a set of data is estimated to be 56. a. What is the planning value for the population standard deviation? 14 b. At 95% confidence, how large a sample would provide a margin of error of 3? Round up to the next whole number c. At 95% confidence, how large a sample would provide a margin of error of 2? Round up to the next whole number.

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Expert Answer

Step 1

a. The planning value for the standard deviation is calculated as:

Range
4
56
14
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Range 4 56 14

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Step 2

b. The required sample size (n) for estimating populati...

n= = x-
물 E
Here, E is the margin of error and o is the population standard
deviation
At 95% confidence level, the critical value is:
- 1.96
Thus
n=
E
14
1.96x
3
83.67
84
The required n is 84
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n= = x- 물 E Here, E is the margin of error and o is the population standard deviation At 95% confidence level, the critical value is: - 1.96 Thus n= E 14 1.96x 3 83.67 84 The required n is 84

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