Answer:
The required confidence inteval = 94.9%.
Step-by-step explanation:
Confidence interval: Mean ± Margin of error
Given: A confidence interval for the true mean diameter of all oak trees in the neighbourhood is calculated to be (36.191, 42.969).
i.e. Mean + Margin of error = 42.969 (i)
Mean - Margin of error = 36.191 (ii)
Adding (i) and (ii), we get
![2Mean =79.16\\\\\Rightarrow\ Mean= 39.58](https://tex.z-dn.net/?f=2Mean%20%3D79.16%5C%5C%5C%5C%5CRightarrow%5C%20Mean%3D%2039.58)
Margin of error = 42.969-39.58 [from (i)]
= 3.389
Margin of error = ![t^* \dfrac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=t%5E%2A%20%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
here n= 25 ![, \ \sigma=8.25](https://tex.z-dn.net/?f=%2C%20%5C%20%5Csigma%3D8.25)
i.e.
![3.389=t^*\dfrac{8.25}{5}\\\\\Rightarrow\ t^* = \dfrac{3.389}{1.65}\\\\\Rightarrow\ t^* =2.0539 \](https://tex.z-dn.net/?f=3.389%3Dt%5E%2A%5Cdfrac%7B8.25%7D%7B5%7D%5C%5C%5C%5C%5CRightarrow%5C%20t%5E%2A%20%3D%20%5Cdfrac%7B3.389%7D%7B1.65%7D%5C%5C%5C%5C%5CRightarrow%5C%20t%5E%2A%20%3D2.0539%20%5C)
Using excel function 1-TDIST.2T(2.054,24)
The required confidence inteval = 94.9%.
Answer:
x=4 y=5
Step-by-step explanation:
Answer:
option D
Step-by-step explanation:
from the question 10>4-3x
it simply means 10-4>-3x
=6>-3x
x>6/-3
=x>-2
the above statement means that x is greater than -2
Answer:
P(blue) = 3/7
So '7' belongs in the box
Step-by-step explanation:
There are 14 total marbles, 6 of which are blue. The probability of pulling a blue marble out of the bag is
P(blue) = 6/14, which reduces to 3/7
Answer:
Compound interest = $3310
Step-by-step explanation:
<u>Formula for calculating compound interest</u>
A = P[1 + R/100]^N
A - Amount
P - Principle amount
R - Rate of interest
N - Number of years
<u>To find compound interest</u>
Here
P - $100,000
R - 10%
N - 3 years
A = P[1 + R/100]^N
A = 100000[1 + 10/100]^3
A = 100000[110/100]^3
A = 100000[1.10]^3 = 133100
Compound interest CI = A - P = 133100 - 100000 = 33100
Option C) have some mistake, 33.10 instead of 33100