Which of the following statements are TRUE about the Normal Distribution? Check all that apply. about \( 95 \% \) of all data values lie within 1 standard deviation of the mean. The distribution is symmetric with a single peak. The graph of the Normal Distribution is bell-shaped, with tapering tails that never actually touch the horizontal axis. Data values are spread evenly around the mean. The mean, median and mode are all equal and occur at the center of the distribution. Data values farther from the mean are less common than data values closer to the mean. Question Help: \( \square \) message instructor

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In a normal distribution, a data value located 1.4 standard deviations below the mean has Standard Score: \( \mathrm{z}=-1.4 \) In a normal distribution, a data value located 2.3 standard deviations above the mean has Standard Score: \( \mathrm{z}=2.3 \) In a normal distribution, the mean has Standard Score: \( \mathrm{z}=\square \)

The weights for newborn babies is approximately normally distributed with a mean of 6 pounds and standard deviation of 1.5 pounds. Consider a group of 1100 newborn babies: 1. How many would you expect to weigh between 3 and 8 pounds? 2. How many would you expect to weigh less than 7 pounds? 3. How many would you expect to weigh more than 6 pounds? 4. How many would you expect to weigh between 6 and 9 pounds?

Which of the following statements are TRUE about the normal distribution? Check all that apply. The area to the left of a z-score plus the area to the right of that same z-score will always equal 1 . A data value with z-score \( =-1.5 \) is located 1.5 standard deviations below the mean. The Empirical Rule only applies when a value is exactly 1,2 , or 3 standard deviations away from the mean. A z-score is the number of standard deviations a specific data value is from the mean of the distribution.

A set of exam scores is normally distributed with a mean \( =74 \) and standard deviation \( =8 \). \( 95 \% \) of the data values lie between 58 \( \% \) of the exam scores are between 66 and 74 . \( \% \) of the exam scores are between 74 and 90 . \% of the exam scores are greater than or equal to 66 .