21 questions were answered correctly. 5 questions were answered incorrectly. 1
Which of the following statements is true?
For a large enough sample
... [Show More] size, the Central Limit Theorem states that the sample medians of repeated samples of a population are normally distributed.
Even with a very large sample size, the Central Limit Theorem states that the sample means of repeated samples of a population cannot be normally distributed.
For a large enough sample size, the Central Limit Theorem states that the sample means of repeated samples of a population are normally distributed.
For the Central Limit Theorem to be true, you must have a large sample, the underlying population must be normally distributed, and the standard deviation should not be finite.
RATIONALE
The Central Limit Theorem gives us information about the properties' sampling distributions of statistics to have given that the sample size is large enough. It tells us the sampling distribution's mean
should be equal to the true population mean.
CONCEPT
Shape of a Sampling Distribution
2
The weekly salaries of full-time and part-time employees at a company are listed on the table.
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1 of 15 12/27/2020, 6:19 PM
What does the circled section represent?
Sixty-eight full-time employees earn $34 per week.
Two full-time employees earn more than $680 per week.
Two part-time employees earn between $680 and $690 per week.
Thirty-four part-time employees earn more than $680 per week.
RATIONALE
If we recall that the stem and leaf can give us the actual values in the data set, then the circle corresponds to $683 and $684. We can then note that there are two part-time workers who make between
$680 and $690.
CONCEPT
Stem-and-Leaf Plots
3
Consider the histogram showing the weights of babies born in a hospital over a month.
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2 of 15 12/27/2020, 6:19 PM
What is the difference in the weights of the lightest baby and the heaviest baby born in the hospital?
7.5 pounds
5.5 pounds
6 pounds
3 pounds
RATIONALE
If we look at the histogram, the heaviest baby is 10 lbs and the lightest baby is about 4.5 lbs. So the difference between the heaviest and lightest baby would be:
CONCEPT
Histograms
4
Select the statement that correctly describes a normal distribution.
It is a negatively skewed distribution, as the extreme values are less than the median.
It is a positively skewed distribution, as the extreme values are greater than the median.
It is a uniform distribution, as all of the values have equal frequency.
It is a symmetric distribution, as the mean and the median are the same.
RATIONALE
A normal distribution is a bell-shaped and symmetric distribution. So it has a smooth peak, which tells us the mean and median are the same.
CONCEPT [Show Less]