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What is Z-score for x equals 52 when a normal distribution has a mean of 50 and a standard deviation of 20?
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โ 6y ago
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z = (x - µ)/standard deviation
= (52 - 50)/20
= 0.1
(If z is negative it is below the mean.)
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โ 6y ago
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Suppose that a population that a population has mean equals 64 and standard deviation equals 18. A sample of size 36 is selected. What is the mean of the sampling distribution of means?
64.
Is standard deviation an absolute value?
No. Standard deviation is not an absolute value. The standard deviation is often written as a single positive value (magnitude), but it is really a binomial, and it equals both the positive and negative of the given magnitude. For example, if you are told that for a population the SD is 5.0, it really means +5.0 and -5.0 from the population mean. It defines a region within the distribution, starting at the lower magnitude (-5.0) increasing to zero (the mean), and another region starting at zero (the mean) and increasing up to the upper magnitude (+5.0). Both regions together define the (continuous) region of standard deviation from the mean value.
What would the Z score be if Z equals 0 and Z equals -1.41?
1.41
Can standard deviation equals to variance?
The variance is the square of the standard deviation.This question is equivalent tocan s = s^2The answer is yes, but only in two cases.If the standard deviation is 1 exactly, then so is the variance.If the standard deviation is 0 exactly, then so is the variance.If the standard deviation is anything else, then it is not equal to the variance.You are not likely to find these special cases in practical problems, so from a practical sense, you should think that they are generally not equal.
What is the area under standard normal distribution curve between z equals 0 and z equals -2.16?
2.16
How much is 84 percentile equals mean plus 1 standard deviation or mean plus 1.4 standard deviation. Can you give me reference also please?
The cumulative probability up to the mean plus 1 standard deviation for a Normal distribution - not any distribution - is 84%. The reference is any table (or on-line version) of z-scores for the standard normal distribution.
Assume that X has a normal distribution with mean equals 15.2 and standard deviation equals 0.9 What is the probability that X is greater than 16.1?
0.8413
How do I work out a graph if the average equals 883.58 and the standard deviation is 127.1534?
You cannot. There is no information about the distribution, or even what the graph is meant to display!
Suppose that a population that a population has mean equals 64 and standard deviation equals 18. A sample of size 36 is selected. What is the mean of the sampling distribution of means?
64.
Can you please tell me the variance and the standard deviation for n equals 80 and p equals 0.3?
For a binomial probability distribution, the variance is n*p*q which is 80*.3*.7 = 16.8. The standard deviation is square root of the variance which is 4.099; rounded is 4.1. The mean for a binomial probability distribution is n*p or 80*.3 or 24.
If the mean equals 500 and the standard deviation equals 100 Bob scored at 2nd standard deviation-what was his score?
Bob scored 300 or 700.
Scores on the sat exam approximate a normal distribution with ยต equals 500 and sd equals 100 use this distribution to determine the percentage of sat scores that fall above 600?
The answer is about 16% Using the z-score formula(z = (x-u)/sd) the z score is 1. This means that we want the percentage above 1 standard deviation. We know from the 68-95-99.7 rule that 68 percent of all the data fall between -1 and 1 standard deviation so there must be about 16% that falls above 1 standard deviation.
The standard deviation of a sample of 10000 observations equals 121 The variance of the sample equals?
It equals 14641.
If the Mean equals 100 variance equals 40 and sample size equals 10 what is the standard deviation?
6.3
What is The normal probability distribution with ยต equals 0 and ฯ equals 1?
It is the Standard Normal distribution.
What sample size is needed to disprove the hypothesis that the probability of outcome A equals 0.25?
The answer depends on what population characteristic A measures: whether it is mean, variance, standard deviation, proportion etc. It also depends on the sampling distribution of A.
Is standard deviation an absolute value?
No. Standard deviation is not an absolute value. The standard deviation is often written as a single positive value (magnitude), but it is really a binomial, and it equals both the positive and negative of the given magnitude. For example, if you are told that for a population the SD is 5.0, it really means +5.0 and -5.0 from the population mean. It defines a region within the distribution, starting at the lower magnitude (-5.0) increasing to zero (the mean), and another region starting at zero (the mean) and increasing up to the upper magnitude (+5.0). Both regions together define the (continuous) region of standard deviation from the mean value.
