By the Central Limit Theorem, the best point estimate for the mean GPA for all residents of the local apartment complex is 1.7.
The Central Limit Theorem established that, for a normally distributed random variable X, with mean and standard deviation, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation ;
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
The sample of 112 residents has a mean GPA of 1.7.
By the Central Limit Theorem, the best point estimate for the mean GPA for all residents of the local apartment complex is 1.7.
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Answer:
Answer ::+-6
Step-by-step explanation:
x:3=12:x
or, x/3 = 12/x
Doing cross multiplication,
x^2=36
Putting sqare root on both sides,
x= sqrt. 36
x= +- 6
Therefore x=+-6.
The circles B and D are similar since the radius of the former is as twice as the radius of the latter.
<h3>Are the two circles shown in the figure similar?</h3>
By geometry we know that circles are defined by only one characteristic: radius. If two circles are similar, then the radii must be <em>different</em>. After a quick look at the figure, we conclude that the radii are
and
. Hence, the circles B and D are similar since the radius of the former is as twice as the radius of the latter.
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