Answer:
x-values
independent variable
Step-by-step explanation:
x (the independent variable) is the domain
y (the dependent variable) is the range
Answer:
Step-by-step explanation:
a)
Confidence interval in less than symbol expressed as

Where
is sample mean and
is margin of error.

b)
The given t interval is 
That is
and
Solve these two equation by adding together.
Solve this value of \bar{x} in equation
and solve for

Best point estimate of 
Best point estimate of margin of error = 0.193
c)
Since sample size = 100 which is sufficiently large (Greater than 30) , it is no need to confirm that
sample data appear to be form a population with normal distribution.
Answer:
Where
the mean and
the deviation
Since the distribution for X is normal then we can conclude that the distribution for the sample mean
is given by:


Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where
the mean and
the deviation
Since the distribution for X is normal then we can conclude that the distribution for the sample mean
is given by:


Answer:

Step-by-step explanation:
Given, y = 0.8
To find : value of x

plug the value of y

Multiply the numbers: 8 and 0.8

Move 6.4 to right hand side and change it's sign

Subtract 6.4 from 40

Divide both sides by 4

Calculate

Hope I helped!
Best regards ! :D