THIS IS THE COMPLETE QUESTION BELOW;
The weekly salaries of sociologists in the United States are normally distributed and have a known population standard deviation of 425 dollars and an unknown population mean. A random sample of 22 sociologists is taken and gives a sample mean of 1520 dollars.
Find the margin of error for the confidence interval for the population mean with a 98% confidence level.
z0.10 z0.05 z0.025 z0.01 z0.005
1.282 1.645 1.960 2.326 2.576
You may use a calculator or the common z values above. Round the final answer to two decimal places.
Answer
Margin error =210.8
Given:
standard deviation of 425
sample mean x=1520 dollars.
random sample n= 22
From the question We need to to calculate the margin of error for the confidence interval for the population mean .
CHECK THE ATTACHMENT FOR DETAILED EXPLANATION
Let us assume the number = x
Then
(25/100) * x = 41
25x = 4100
x = 4100/25
= 164
so the unknown number comes out to be 64, This is one of the simplest way to clearly get to the solution that is required. I hope the procedure is clear enough for you to understand. Only while deducing the result, be careful about the calculation part.In future you can always use this procedure for finding the solutions to similar problems.
1
11.05
14.60
46.00
71.65 is your answer
The area of regular polygon with 5 sides is 689.65m²
<u>Explanation:</u>
All sides of a regular polygon are equal in length. If you know the length of one of the sides, the area is given by the formula:
where
s is the length of any side
n is the number of sides
tan is the tangent function calculated in degrees
Let the number of side of a polygon be 5. So, putting the values in equation
Therefore, the area of regular polygon with 5 sides is 689.65m²
