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:
1000000 for the smaller box.
I need more info for the second box
Step-by-step explanation:
If he runs 6 mph for 1.5 hours, he will run a total of 9 miles
Answer:
the height of the front doorstep is 12 cm
angle given is 15 degree
so, the length of the ramp wooden peice should be 44.7
mark me brainliest plsss
plssss
Answer:
Part a) 
Part b) The expression that represent the cost of fencing the field is 
Part c) 
Step-by-step explanation:
<u>The complete question in the attached figure</u>
Part a) we know that
The perimeter of the rectangular field (excluding the width of the gate) is equal to

we have

substitute the given values


Part b) we know that
To find out the cost of fencing the field (excluding the gate) , multiply the perimeter by the cost of $28 per yard
so

Part c) we have
h=5
substitute the value of h in the expression of the cost
