Answer:
Step-by-step explanation:
Given
See attachment
Solving (a):
To solve for , we make use of:
The relationship between both angles is that they are complementary angles
Make the subject
Substitute for
Solving (b):
To solve for , we make use of:
The relationship between both angles is that they are complementary angles
Solving (c):
To solve for , we make use of:
The relationship between both angles is that they are alternate exterior angles.
So:
Answer:
(c)approximately Normal, mean 112, standard deviation 1.414.
Step-by-step explanation:
To solve this problem, we have to understand the Central Limit Theorem
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
.
In this problem, we have that:
Using the Central Limit Theorem
The distribution of the sample mean IQ is approximately Normal.
With mean 112
With standard deviation
So the correct answer is:
(c)approximately Normal, mean 112, standard deviation 1.414.