Answer:
Look below
Step-by-step explanation:
The mean of the sampling distribution always equals the mean of the population.
μxˉ=μ
The standard deviation of the sampling distribution is σ/√n, where n is the sample size
σxˉ=σ/n
When a variable in a population is normally distributed, the sampling distribution of for all possible samples of size n is also normally distributed.
If the population is N ( µ, σ) then the sample means distribution is N ( µ, σ/ √ n).
Central Limit Theorem: When randomly sampling from any population with mean µ and standard deviation σ, when n is large enough, the sampling distribution of is approximately normal: ~ N ( µ, σ/ √ n ).
How large a sample size?
It depends on the population distribution. More observations are required if the population distribution is far from normal.
A sample size of 25 is generally enough to obtain a normal sampling distribution from a strong skewness or even mild outliers.
A sample size of 40 will typically be good enough to overcome extreme skewness and outliers.
In many cases, n = 25 isn’t a huge sample. Thus, even for strange population distributions we can assume a normal sampling distribution of the mean and work with it to solve problems.
Answer:
5/4 and 6/3
Step-by-step explanation:
This series has increasing numerator and decreasing denominator. This series starts as 1/8, So the series goes like
1/8
2/7
3/6 which is reduced to 1/2
4/5
5/4
6/3 which will be reduced to 2
Answer
I think it is number 5
Step-by-step explanation:
Answer:
I. 94.99 in²
II. $0.23
Step-by-step explanation:
<u>Given the following data;</u>
Diameter of wheel = 11 inches
Cost of wheel = $21.35

<em><u>Part A</u></em>
To find the area;
We know that a wheel is circular in nature. Thus, the area of a circle is given by the formula;
Substituting into the equation, we have;
<em>Area, A = 94.99 in²</em>
<em><u>Part B</u></em>
To find cost per square inch;
<u>Cost per square inch = $0.23</u>
The shape that is generated is a Cone.
A triangle, when rotated about one of it's side will generate a solid in a form of a Cone. The cone could be a hollow one or a solid filled one, depending on the properties of the triangle being rotated.