Answer:
The interval from the sample of size 400 will be approximately <u>One -half as wide</u> as the interval from the sample of size 100
Step-by-step explanation:
From the question we are told the confidence level is 95% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of
is
Generally the 95% confidence interval is dependent on the value of the margin of error at a constant sample mean or sample proportion
Generally the margin of error is mathematically represented as
Here assume that
is constant so
![E = \frac{k}{\sqrt{n} }](https://tex.z-dn.net/?f=E%20%3D%20%20%5Cfrac%7Bk%7D%7B%5Csqrt%7Bn%7D%20%7D)
=> ![E \sqrt{n} = K](https://tex.z-dn.net/?f=E%20%5Csqrt%7Bn%7D%20%3D%20K)
=> ![E_1 \sqrt{n}_1 = E_2 \sqrt{n}_2](https://tex.z-dn.net/?f=E_1%20%5Csqrt%7Bn%7D_1%20%3D%20%20E_2%20%5Csqrt%7Bn%7D_2)
So let
and ![n_2 = 100](https://tex.z-dn.net/?f=n_2%20%3D%20%20100)
=> ![E_1 \sqrt{400} = E_2 \sqrt{100}](https://tex.z-dn.net/?f=E_1%20%5Csqrt%7B400%7D%20%3D%20%20E_2%20%5Csqrt%7B100%7D)
=> ![E_1 = \frac{\sqrt{100} }{\sqrt{400} } E_2](https://tex.z-dn.net/?f=E_1%20%3D%20%20%5Cfrac%7B%5Csqrt%7B100%7D%20%7D%7B%5Csqrt%7B400%7D%20%7D%20E_2)
=> ![E_1 = \frac{1}{2 } E_2](https://tex.z-dn.net/?f=E_1%20%3D%20%20%5Cfrac%7B1%7D%7B2%20%7D%20E_2)
So From this we see that the confidence interval for a sample size of 400 will be half that with a sample size of 100
Standard form is using only numerical values (numbers.)
Ninety-eight = 98
six-tenth = 0.6
98 + 0.6 = 98.6
98.6 is your answer
Hope this helps
The correct answer is:
How to find X if P percent of it is Y. Use the percentage formula Y/P% = X
Convert the problem to an equation using the percentage formula: Y/P% = X
Y is 26,400, P% is 16%, so the equation is 26,400/16% = X
Convert the percentage to a decimal by dividing by 100.
Converting 16% to a decimal: 16/100 = 0.16
Substitute 0.16 for 16% in the equation: 26,400/0.16 = X
Do the math: 26,400/0.16 = X
X = 165,000
So $ 165,000 is the price of the home.
I hope this helps you!!
Answer:
pi/18
Step-by-step explanation:
To change from degrees to radians, we multiply by pi/180
10 * pi/180
pi/18
The actual probability of having odd is 3/6=1/2
so no of odds theoretically is 250
but it is 325
so, experimental is higher than theoretical
so answer is B !
and you can go for that !