Answer:
DF = 458
Step-by-step explanation:
In statistics, T-test have an extensive application. T-tests are used in hypothesis testing or inference about the population mean when the population standard deviation is not known. Nevertheless, they are used in making inference in paired samples or dependent samples t-test as well as independent samples.
The degrees of freedom, DF, is a characteristic of the student's t distribution which is used in T-tests. In a simple T-test;
DF = n - 1
where n is the sample size
Given n is 459, DF = 459 - 1 = 458
Therefore, DF = 458
Answer:
You have them both correct. #1 is B #2 is C
Step-by-step explanation:
It shows a positive correlation
Just go from the very left of the graph to the very right and see, if the points go up or down.
Or pick off some points to see the trend
(2,1) (3,2) and (5,4)
These points show that over time the number of typos go up with the number of pages printed.
Answer:
(1) B
(2) A
(3) C
Step-by-step explanation:
A random variable is a variable that denotes a set of all the possible outcomes of a random experiment. It is denotes by a single capital letter such as X or Y.
There are two types of random variables.
- Discrete random variable: These type of random variable takes finite number of values, such as 0, 1, 2, 3, 4, ... For example, number of girl child in a neighborhood.
- Continuous random variable: These type of random variables takes infinite number of possible values. For example, the height, weight.
(1)
Exact weight of quarters now in circulation in the United States.
The variable weight is a continuous variable.
Thus, the exact weight of quarters now in circulation in the United States is a continuous random variable.
(2)
Shoe sizes of humans.
The shoe size of a person are discrete and finite values.
Thus, the shoe sizes of humans are discrete random variables.
(3)
Political party affiliations of adults in the United States.
This variable is not a quantitative variable.
It is a qualitative variable.
Thus, the political party affiliations of adults in the United States is no random variable.
Answer:
2
Step-by-step explanation:
Using the rule of radicals
×
⇔ 
Simplifying the radicals

= 
=
×
= 4

= 
=
×
= 2
Thus
+ 2
- 2
= 4
+ 2
- 4
← collect like terms
= 2