37.04
+ 56.20
----------------
93.24
Answer:
The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the z-score that has a p-value of
.
Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.
This means that 
90% confidence level
So
, z is the value of Z that has a p-value of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).
Answer:
466 and 286
Step-by-step explanation:
Answer:
And we can find this probability on this way:
We expect around 68.27% between the two scores provided.
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 scores of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability on this way:
We expect around 68.27% between the two scores provided.
Answer:
The median of the data set:
6, 15, 30, 45, 47, 49
The middle numbers are 30 and 45 so
You have to do 30 + 45
= 75
Then do 75 ÷ 2
= 37.5
The mean of the data set:
47, 15, 6, 49, 45, 30 (add them all)
= 192
Then divide 192 by 6 (because there are 6 numbers)
192 ÷ 6
= 32
So the median is 37.5 and the mean is 32.
Step-by-step explanation:
Hope this helps!
From your neighborhood softie :)