Suppose that x is a Normally distributed random variable with an unknown mean ? and known standard deviation 6. If we take repeated samples of size 100 and compute the sample means x?, 95% of all of these values of x? should lie within a distance of _ from ?. (Use the 68-95-99.7 rule.) 12 6 1.2 0.6
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Suppose that x is a Normally distributed random variable with an unknown mean μ and known standard deviation 6. If we take repeated samples of size 100 and compute the sample means x, 95% of all of these values of x should lie within a distance of 1.2 from μ. (Use the 68-95-99.7 rule.)
Avi Z.
For the normal distribution about 68% of the x values lie within one standard deviation to the left and to the right of the mean. About 95% of the x values lie within two standard deviations to the left and to the right of the mean. And about 99.7% of the x values lie within three standard deviations to the left and to the right of the mean. If the mean is 200, st. deviation is 14, find the left and the right limit of 95% of the x-values.
Joanna Q.
Given x is a random variable from a normal population with the indicated mean and standard deviation, estimate the probability using the 68-95-99.7 Empirical Rule. P(x < 13 | mean = 15, std = 2)
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