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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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z = (x - µ)/standard deviation
= (52 - 50)/20
= 0.1
(If z is negative it is below the mean.)
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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.
What would the Z score be if Z equals 0 and Z equals -1.41?
1.41
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.
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
