Final answer:
The statement about the normal curve table showing percentages for only half of the curve is indeed true because the curve is symmetric, and percentages for one half can be applied to the other half.
Step-by-step explanation:
The statement, "The normal curve table shows percentages for only half of the curve," is TRUE. A normal curve table, also known as a standard normal distribution table or z-table, typically only provides the percentages (or probabilities) for half of the curve, usually the area to the left of the mean. Normal distribution is symmetric, so the right half of the curve is a mirror image of the left half and the same percentages apply. Therefore, the table of a normal distribution uses this property and lists values for only one half since the other half can be inferred.
When using the Empirical Rule for a normal distribution, it implies that about 68% of the data falls within one standard deviation of the mean, about 95% within two standard deviations, and over 99% within three standard deviations. This is true for bell-shaped and symmetric distributions. Therefore, looking at the table for half of the curve would provide all necessary percentages, considering its symmetry.