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What value of Z from the standard normal distribution has an area probability to the right equal to 0.0643?
z = 1.52 (approx)
When a population distribution is right skewed is the sampling distribution normal?
No, as you said it is right skewed.
What is the math shape when it looks like a bow?
It could be a Gaussian curve (Normal distribution) rotated through a right angle.It could be a Gaussian curve (Normal distribution) rotated through a right angle.It could be a Gaussian curve (Normal distribution) rotated through a right angle.It could be a Gaussian curve (Normal distribution) rotated through a right angle.
Can a normal distribution curve be symmetric or left-skewed or right-skewed?
Symmetric
What is the difference between a probability mass function and a probability density function?
The probability mass function is used to characterize the distribution of discrete random variables, while the probability density function is used to characterize the distribution of absolutely continuous random variables. You might want to read more about this at www.statlect.com/prbdst1.htm (see the link below or on the right)
How does the mean affect the graph of a normal distribution?
It determines the location of the graph: left or right - but not its shape.
What is the area under the normal distribution curve to the right of z that equals 3.24?
0.0006 (approx).
If the area to the left of x in a normal distribution is 0.123 what is the area to the right of X?
It is 0.877
Is the total area under a normal distribution curve to the right of the mean is always equal to 0?
100%
When population distribution is right skewed is the sampling also with right skewed distribution?
If the population distribution is roughly normal, the sampling distribution should also show a roughly normal distribution regardless of whether it is a large or small sample size. If a population distribution shows skew (in this case skewed right), the Central Limit Theorem states that if the sample size is large enough, the sampling distribution should show little skew and should be roughly normal. However, if the sampling distribution is too small, the sampling distribution will likely also show skew and will not be normal. Although it is difficult to say for sure "how big must a sample size be to eliminate any population skew", the 15/40 rule gives a good idea of whether a sample size is big enough. If the population is skewed and you have fewer that 15 samples, you will likely also have a skewed sampling distribution. If the population is skewed and you have more that 40 samples, your sampling distribution will likely be roughly normal.
What is the z score representing the 10th percentile of the standard normal distribution?
Right around -1.28
What is the z value such that 50 percent of the total area lies to the right of the curve in a normal distribution?
The Z value is 0.
