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Multiple Choice
Using a standard normal distribution, what is the -score such that the area to the left of is ?
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1
Understand that the problem asks for the z-score corresponding to a cumulative area (probability) of 0.52 to the left under the standard normal distribution curve.
Recall that the standard normal distribution has a mean of 0 and a standard deviation of 1, and the z-score represents the number of standard deviations away from the mean.
Use the standard normal distribution table (Z-table) or a statistical software/calculator to find the z-score where the cumulative probability from the far left up to that z-score is 0.52.
Look up the value 0.52 in the body of the Z-table, which gives cumulative probabilities, and find the corresponding z-score in the margins of the table.
Identify the z-score that matches the cumulative area closest to 0.52; this z-score will be a small positive value close to zero, reflecting that 0.52 is just slightly above the mean.