Answer:
B: 280
Step-by-step explanation:
The regression line predicts that when x equals 5:
In order to find the value for y, one must simply apply the following logarithmic property:
if :
then:
Applying it to this particular problem:
Therefore, the regression line predicts y will equal 280 when x equals 5.
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.