QuestionFind the indicated z-score shown in the graph to the right.
The z-score is
(Round to two decimal places as needed.)
Studdy Solution
STEP 1
1. The standard normal distribution is symmetric about the mean, which is 0.
2. The total area under the standard normal distribution curve is 1.
3. The shaded area represents the cumulative probability from the left tail up to the z-score.
STEP 2
1. Understand the relationship between the shaded area and the z-score.
2. Use the standard normal distribution table or a calculator to find the z-score.
STEP 3
Recognize that the shaded area of 0.2119 represents the cumulative probability from the left tail up to the z-score. This means we are looking for a z-score where the cumulative probability .
STEP 4
Use a standard normal distribution table or a calculator to find the z-score that corresponds to a cumulative probability of 0.2119.
STEP 5
Look up the cumulative probability of 0.2119 in the standard normal distribution table or use a calculator to find the corresponding z-score.
The z-score corresponding to a cumulative probability of 0.2119 is approximately .
The z-score is:
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