0
Prob (-1.31 < z < 0.31) = 0.5266
Wiki User
∙ 10y ago
Add your answer:
Earn +20 pts
What is the difference between the mean and z-score?
There is little in common between the two. Any set of numbers can have a mean. A z-score the standardised version of the Gaussian (or Normal) distribution. If X is a random variable that is normally distributed with mean µ and variance σ2 then Z = (X - µ)/σ is distributed with mean 0 and variance 1. Z is said to have the Standard Normal distribution. The value of Z is the z score for the random variable X..
What is the Z score equation?
Given a random variable X with mean M and standard deviation S, Z = (X - M)/S
What is a z-score used for?
The z-score is used to convert a variable with a Gaussian [Normal] distribution with mean m and standard error s to a variable with a standard normal distribution. Since the latter is tabulated, the probability of an outcome as extreme or more compared to the one observed is easily obtained.
What is the rejection region and how does it relate to Z score and the p value?
The rejection region for a hypothesis is the set of values such that if the null hypothesis is true, then the probability of observing a value for the test statistic (the z-score) for a random variable that may be assumed to have a Normal distribution, is at least as great as the value actually observed is less than by chance. The latter is an arbitrarily selected value called the p-value - often 5% or 1%.Note that z-scores may be used only if the random variable is approximately Normally distributed - not otherwise.
How can you calculate z-score?
If a normally distributed random variable X has mean m and standard deviation s, then z = (X - m)/s
How do you find the z score of 12.5?
To find the Z score from the random variable you need the mean and variance of the rv.To find the Z score from the random variable you need the mean and variance of the rv.To find the Z score from the random variable you need the mean and variance of the rv.To find the Z score from the random variable you need the mean and variance of the rv.
What is measured by the numerator of the z-score test statistic?
The z-score, for a value z, is the probability that a Standard Normal random variable will have a value greater than z.
The random variable Z is the standard normal score. Find the number a if P Za equals 0.9830?
a = ±2.12, depending on the inequality for Z.
How do your work out z score?
If a random variable X has a Normal distribution with mean M and standard deviation S, then Z = (X - M)/S
How z-score derive?
If a random variable X has a normal distribution with mean m and standard error s, then the z-score corresponding to the value X = x is (x - m)/s.
Find z score for normal distribution for 50th percentile?
Answer: 0 The z score is the value of the random variable associated with the standardized normal distribution (mean = 0, standard deviation =1). Now, the median and the mean of a normal distribution are the same. The 50 percentile z score = the median = mean = 0.
Define p-value vs - z score?
The p-value is the probability of any event or the level of significance for any statistical test. The z-score is a transformation applied to a Random Variable with any Normal distribution to the Standard Normal distribution.
What is the difference between the mean and z-score?
There is little in common between the two. Any set of numbers can have a mean. A z-score the standardised version of the Gaussian (or Normal) distribution. If X is a random variable that is normally distributed with mean µ and variance σ2 then Z = (X - µ)/σ is distributed with mean 0 and variance 1. Z is said to have the Standard Normal distribution. The value of Z is the z score for the random variable X..
What has a z-score of -2.5?
A random variable that is 2.5 times the standard error less than the mean.
What does a high z score mean?
It means that the random variable in question is considerably greater than the mean.
How do you convert a z-score into an x-score?
Suppose m is the mean and s the standard deviation of a random variable, X, which is normally distributed. Then, given Z,X = m + sZ
What is the Z score equation?
Given a random variable X with mean M and standard deviation S, Z = (X - M)/S
