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when finding the area of the distribution that is above or below a nega…

Question

when finding the area of the distribution that is above or below a negative z score, you: simply look up the absolute value of the z score and then determine if you need to use the tail or body column of the table need a different z table with negative values in it question 14 0.73 pts what percentage of z scores are below a z score of -.50? (hint: draw a normal curve, locate -.50 on the curve, and determine if you should use the body or tail column of the unit normal table.) .6915 .3085

Explanation:

Brief Explanations

For the first part, the standard normal distribution table (z - table) is symmetric about z = 0. So, when dealing with a negative z - score, we look up the absolute value of the z - score in the standard z - table and then use the appropriate column (body or tail) depending on whether we want the area to the left or right of the z - score. For the second part, when we look up the absolute value of z = 0.50 in the standard normal table, the value corresponding to it gives the area to the left of z = 0.50. Since the normal distribution is symmetric, the area to the left of z=- 0.50 is the same as the area to the right of z = 0.50. Looking up z = 0.50 in the table gives an area of 0.6915 to the left of z = 0.50. So the area to the left of z=-0.50 is 1 - 0.6915=0.3085.

Answer:

First question: simply look up the absolute value of the z score and then determine if you need to use the tail or body column of the table
Second question:.3085