Normal Probability Distributions/Normal Approximations to Binomial Distributions Question 02 A population has a mean «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#956;«/mi»«mo»=«/mo»«mn»100«/mn»«/math» and a standard deviation of «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#963;«/mi»«mo»=«/mo»«mn»15«/mn»«/math». Find the mean and standard deviation (standard error of the mean) of the sampling distribution of sample means with a sample size «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»100«/mn»«/math».

1. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»§#956;«/mi»«mover»«mi»x«/mi»«mo»§#175;«/mo»«/mover»«/msub»«mo»=«/mo»«mo»§#160;«/mo»«/math»{#1}
   
   
2. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»§#963;«/mi»«mover»«mi»x«/mi»«mo»§#175;«/mo»«/mover»«/msub»«mo»=«/mo»«mo»§#160;«/mo»«/math»{#2}

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