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Question
if we draw the distribution and shade the proportion above the mean, which direction would we shade? step 3: find the proportion in the z - table and apply the rule. please report the final proportion after applying the correct rule procedure. p(z_final)= step 4: report the answer. please report the proportion to 4 decimal places and all other values to 2 decimal places. the probability is p = that a random sample of 4 scores will have a mean of or greater w drawn from a normal distribution having μ = and σ =
Step1: Understand normal - distribution property
In a normal distribution, values above the mean are to the right of the mean. So, when shading the proportion above the mean, we shade to the right of the mean.
The proportion of the area under the normal - distribution curve to the right of the mean is 0.5. Since the normal distribution is symmetric about the mean, half of the data lies to the right of the mean and half to the left.
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To shade the proportion above the mean, we shade to the right of the mean. The proportion $p = 0.5000$ (reported to 4 decimal places).