Let the random variable X follow a Normal distribution with variance σ2 = 625.
A random sample of n = 50 is obtained with a sample mean, X-Bar of 180.
What is the probability that μ is between 198 and 211?
What is Z-Score1 for μ greater than 198?
|Table in MS-Excel|
In general,a z-score indicates how many standard deviations an element is from the mean. It can be calculated from the following formula: z = (X - μ) / σ
where, z is the z-score, X is the value of the element, μ is the population mean, and σ is the standard deviation.
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