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How do you find the number z such that the proportion of observations that are less than z in a standard Normal distribution is 0.7?
2386tango
You will need to use tables of z-score or a z-score calculator. You cannot derive the value analytically.The required z-score is 0.524401
Wiki User
∙ 9y ago
Wiki User
∙ 6y agoFind z such that P(Z > z) = 0.3z = 0.5244
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What percentage of observations of a normal distribution is represented by the mean plus or minus 1.96 standard deviations?
95%
Does the curve in a normal distribution stop at plus or minus 3 standard deviations?
No. The curve in a normal distribution goes on out to plus and minus infinity. You might never see any observations out there, but if you were to make an infinite number of observations, you theoretically would.
What is the difference between a normal distribution and the standard normal distribution?
The standard normal distribution is a normal distribution with mean 0 and variance 1.
Which normal distribution is also the standard normal curve?
The normal distribution would be a standard normal distribution if it had a mean of 0 and standard deviation of 1.
Carefully define a standard normal distribution?
A mathematical definition of a standard normal distribution is given in the related link. A standard normal distribution is a normal distribution with a mean of 0 and a variance of 1.
What proportion of a normal distribution is located between z-0.90 and z 0.90?
0.368 or 36.8%.And you should specify that it is a standard normal distribution.0.368 or 36.8%.And you should specify that it is a standard normal distribution.0.368 or 36.8%.And you should specify that it is a standard normal distribution.0.368 or 36.8%.And you should specify that it is a standard normal distribution.
How does the standard normal distribution differ from the t-distribution?
The normal distribution and the t-distribution are both symmetric bell-shaped continuous probability distribution functions. The t-distribution has heavier tails: the probability of observations further from the mean is greater than for the normal distribution. There are other differences in terms of when it is appropriate to use them. Finally, the standard normal distribution is a special case of a normal distribution such that the mean is 0 and the standard deviation is 1.
What percentage of observations of a normal distribution is represented by the mean plus or minus 1.96 standard deviations?
95%
What percentage of observations of a normal distribution is represented by the mean plus or minus 2 standard deviations?
about 68%
What percentage of observations of a normal distribution is represented by the mean plus or minus 1.96 standard deviation?
It is 95%
How is it possible to convert normal distributions to the standard normal distribution?
use this link http://www.ltcconline.net/greenl/Courses/201/probdist/zScore.htm Say you start with 1000 observations from a standard normal distribution. Then the mean is 0 and the standard deviation is 1, ignoring sample error. If you multiply every observation by Beta and add Alpha, then the new results will have a mean of Alpha and a standard deviation of Beta. Or, do the reverse. Start with a normal distribution with mean Alpha and standard deviation Beta. Subtract Alpha from all observations and divide by Beta and you wind up with the standard normal distribution.
Does the curve in a normal distribution stop at plus or minus 3 standard deviations?
No. The curve in a normal distribution goes on out to plus and minus infinity. You might never see any observations out there, but if you were to make an infinite number of observations, you theoretically would.
How does standard normal distribution differ from normal distribution?
The standard normal distribution has a mean of 0 and a standard deviation of 1.
What is the difference between a normal distribution and the standard normal distribution?
The standard normal distribution is a normal distribution with mean 0 and variance 1.
Which normal distribution is also the standard normal curve?
The normal distribution would be a standard normal distribution if it had a mean of 0 and standard deviation of 1.
What is the standard deviation of a standard normal distribution?
The standard deviation in a standard normal distribution is 1.
What is the difference of a normal distribution and a stardard normal distribution?
The standard normal distribution is a special case of the normal distribution. The standard normal has mean 0 and variance 1.
