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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!
<u>Answer:</u>
The number of each type of tube does the group rent is 11 tubes for person and 4 “cooler” tubes to carry food and water
<u>Explanation:</u>
The rents for tubes for a person to use = $20
The rents for “cooler” tubes to carry food and water = $12.50.
The rent for a total of 15 tubes = $270
11 tubes whose rent cost $20 =
= 220
4 “cooler” tubes rent cost $12.50 =
= 50
Therefore for 15 tubes = 11 +4= 15
cost = 220 + 50
=270
The number of each type of tube does the group rent is 11 tubes for person and 4 “cooler” tubes to carry food and water