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:






Answer:
1.FILTER WATER 2.FILTER CLOTH
3.LIQUIDS
4.INSOLUBLE
5.DIFFERENCE
Answer:
In mathematics rational means "ratio like." So a rational number is one that can be written as the ratio of two integers. For example 3=3/1, −17, and 2/3 are rational numbers. ... The rational numbers are those which have repeating decimal expansions (for example 1/11=0.09090909..., and 1=1.000000...
Step-by-step explanation::P
Answer:
x=8 x=-2
Step-by-step explanation:
|x-3| -10=-5
Add 10 to each side
|x-3| -10+10=-5+10
|x-3| =5
Now separate into two equations , one positive and one negative
x-3 = 5 x-3 = -5
Add 3 to each side
x-3+3 = 5+3 x-3+3 = -5 +3
x=8 x=-2
Answer:
B
Step-by-step explanation: