1. Suppose a normal distribution has a mean of 8 and a standard deviation of 2.7. What is the z-score of x = 3.5? Round to 1 decimal place.
2. In a normal distribution, x = 6 and z = -1.7. This tells you that x = 6 isstandard deviations to the(right or left) of the mean.
3. Suppose X ~ N(15, 3). Between what x values does approximately 68.2% (or 68%)of the data lie? The range of x values is centered at the mean of the distribution (i.e., 15).
4. Suppose X ~ N(19, 11). What is the z-score of x = 19? .