Answer:
Step-by-step explanation:
Hello!
For me, the first step to any statistics exercise is to determine what is the variable of interest and it's distribution.
In this example the variable is:
X: height of a college student. (cm)
There is no information about the variable distribution. To estimate the population mean you need a variable with at least a normal distribution since the mean is a parameter of it.
The option you have is to apply the Central Limit Theorem.
The central limit theorem states that if you have a population with probability function f(X;μ,δ²) from which a random sample of size n is selected. Then the distribution of the sample mean tends to the normal distribution with mean μ and variance δ²/n when the sample size tends to infinity.
As a rule, a sample of size greater than or equal to 30 is considered sufficient to apply the theorem and use the approximation.
The sample size in this exercise is n=50 so we can apply the theorem and approximate the distribution of the sample mean to normal:
X[bar]~~N(μ;σ2/n)
Thanks to this approximation you can use an approximation of the standard normal to calculate the confidence interval:
98% CI
1 - α: 0.98
⇒α: 0.02
α/2: 0.01

X[bar] ± 
174.5 ± 
[172.22; 176.78]
With a confidence level of 98%, you'd expect that the true average height of college students will be contained in the interval [172.22; 176.78].
I hope it helps!
Answer:

Step-by-step explanation:
Given


Required
Determine the volume
The volume of a cylinder is calculated as thus:

Substitute values for r and h


<em>Hence, the volume of the cylinder is 18312.48mm³</em>
Answer:
okay
Step-by-step explanation:
Y2-y1=6-4=2
x2-x1=2-1=1
2/1=2
The slope is 2
y=2x+b
4=2(1)+b
4=2+b
-2
2=b
y=2x+2
F(x) = 8.
This is a constant function. No matter the value of x, f(x) will always be = 8
Therefore when x = 10, f(x) = 8.