Answer:
Step-by-step explanation:
Hello!
You have the information for two variables
X₁: Number of consumer purchases in France that were made with cash, in a sample of 120.
n₁= 120 consumer purchases
x₁= 48 cash purchases
p'₁= 48/120= 0.4
X₂: Number of consumer purchases in the US that were made with cash, in a sample of 55.
n₂= 55 consumer purchases
x₂= 24 cash purchases
p'₂= 24/55= 0.4364
You need to construct a 90% CI for the difference of proportions p₁-p₂
Using the central limit theorem you can approximate the distribution of both sample proportions p'₁ and p'₂ to normal, so the statistic to use to estimate the difference of proportions is an approximate standard normal:
[(p'₁-p'₂) ± 
* 
]
[(0.4-0.4364)±1.648 * 
]
[-0.1689;0.0961]
The interval has a negative bond, it is ok, keep in mind that even tough proportions take values between 0 and 1, in this case, the confidence interval estimates the difference between the two proportions. It is valid for one of the bonds or the two bonds of the CI for the difference between population proportions to be negative.
I hope this helps!
Answer:
706.85775
Step-by-step explanation:
First you find the volume of the tank
13*3.14159=40.84067
40.84067*75=3063.05025
Then find the volume of both the tank and sleeve
13+3=16
16*3.14159=50.26544
50.26544*75=3769.908
Subtract the original volume with the combined volume
3769.908-3063.05025=706.85775
Answer:
<h2>4</h2><h2>11</h2>
Step-by-step explanation:
20:5=4 (minutes for 1 meter)
4*11=44 minutes for 11 meters
or
20 : 5 = x : 11
x = 20*11:5
x = 44
or
20:5* 11=44
Answer:
See explaination.
Step-by-step explanation:
Sampling distribution can be defined as a probability distribution of a statistic which is gotten through a large number of samples usually drawn from a specific population.
The sampling distribution of a given population can be described as the distribution of frequencies of a range of different outcomes that could possibly occur for a statistic of a population.
Please refer to attachment for a step by step technique to prove How many candy bars must you have in order to be sure the sampling distribution of x is normal.
Answer:
Length of DE is : 18√2 units
Step-by-step explanation:
The length of a side of a triangle is 36.
To calculate : The length of the segment DE
Now, the two parts of triangle have equal area ∴ Area(ADE) = Area(BDEC)
In ΔABE and ΔABC,
∠A = ∠A (Common angles)
∠ABE = ∠ABC (Corresponding angles are always equal)
By AA postulate of similarity of triangles, ΔABE ~ ΔABC.
Hence by area side proportionality theorem
Hence, length of DE is 18√2 units
