A variable of a population is normally distributed with mean μ and standard deviation σ. For samples of size n, complete parts (a) through (d) below. Fill in the blanks c. Approximately 99.7% of all possible samples have means that lie within ___________________ of the population mean, μ. Since the variable is normally distributed, its sample mean x ___________ (is, is not) normally distributed with mean ________ and standard deviation __________ according to the central limit theorem. Using the empirical rule for variables, approximately 99.7% of all possible observations from a normal distribution lie within _________ standard deviation(s) of the population mean, μ. d. 100(1−α)% of all possible samples have means that lie within _______________ of the population mean, μ. Since the variable is normally distributed, its sample mean x ______________ (is, is not) normally distributed. Using the empirical rule for variables, 100(1−α)% of all possible observations from a normal distribution lie within _____________ standard deivation(s) of the population mean, μ
A variable of a population is
c. Approximately 99.7% of all possible samples have means that lie within ___________________ of the population mean, μ.
Since the variable is normally distributed, its sample mean x ___________ (is, is not) normally distributed with mean ________ and standard deviation __________ according to the central limit theorem. Using the
d. 100(1−α)% of all possible samples have means that lie within _______________ of the population mean, μ.
Since the variable is normally distributed, its sample mean x ______________ (is, is not) normally distributed. Using the empirical rule for variables, 100(1−α)% of all possible observations from a normal distribution lie within _____________ standard deivation(s) of the population mean, μ.
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