Answer: 10.8 cm.
Step-by-step explanation: The diameter of a circle is 2*radius. 2*5.4 = 10.8 so the answer is 10.8 cm.
Answer:
The standard deviation of the sample mean differences is _5.23_
Step-by-step explanation:
We have a sample of a population A and a sample of a population B.
For the sample of population A, the standard deviation
is

The sample size
is:
.
For the sample of population B, the standard deviation
is

The sample size
is:
.
Then the standard deviation for the difference of means has the following form:

Finally

Answer:
Using a formula, the standard error is: 0.052
Using bootstrap, the standard error is: 0.050
Comparison:
The calculated standard error using the formula is greater than the standard error using bootstrap
Step-by-step explanation:
Given
Sample A Sample B


Solving (a): Standard error using formula
First, calculate the proportion of A



The proportion of B



The standard error is:







Solving (a): Standard error using bootstrapping.
Following the below steps.
- Open Statkey
- Under Randomization Hypothesis Tests, select Test for Difference in Proportions
- Click on Edit data, enter the appropriate data
- Click on ok to generate samples
- Click on Generate 1000 samples ---- <em>see attachment for the generated data</em>
From the randomization sample, we have:
Sample A Sample B



So, we have:






substitute 4 as x in both sides of the equation
basically multiply -3/2 by 4