Determine the area under the standard normal curve that lies between -1.98 to +0.26 (z value).Group of answer choices0.578720.397430.421280.023852
Question
Determine the area under the standard normal curve that lies between -1.98 to +0.26 (z value).
Group of answer choices
- 0.5787
- 0.3974
- 0.4212
- 0.0238
Solution
To find the area under the standard normal curve between two z-values, you need to find the z-scores for each value and subtract them.
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Look up the z-scores in a standard normal distribution table or use a calculator with a normal distribution function.
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The z-score for -1.98 is 0.02385 (this is the area to the left of -1.98).
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The z-score for 0.26 is 0.6026 (this is the area to the left of 0.26).
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Subtract the z-score of -1.98 from the z-score of 0.26 to find the area between these two values.
0.6026 - 0.02385 = 0.57875
So, the area under the standard normal curve that lies between -1.98 and +0.26 is approximately 0.57875. The closest answer choice to this value is 0.57872.
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Using the standard normal curve, the area between z = 0 and z = 3.50 is about 0.50.Group of answer choicesTrueFalse
ind the area of the standard normal distribution that lies to the left of Z = −1.50.
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