Determine the area under the standard normal curve that lies between -1.22 to +1.22 (z value).Group of answer choices0.777540.222460.888770.11123
Question
Determine the area under the standard normal curve that lies between -1.22 to +1.22 (z value).Group of answer choices0.777540.222460.888770.11123
Solution
The area under the standard normal curve between -1.22 and +1.22 can be found using a standard normal distribution table or a calculator with a normal distribution function.
Here are the steps:
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Look up the z-score in the standard normal distribution table. The value you find is the area to the left of the z-score.
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For a z-score of 1.22, the area to the left is approximately 0.8888. This means that about 88.88% of the data falls to the left of 1.22.
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Since the normal distribution is symmetrical, the area to the left of -1.22 is also 0.8888.
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However, we want the area between -1.22 and +1.22. To find this, we subtract the area to the left of -1.22 from the area to the left of +1.22.
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Since both these areas are the same (0.8888), the area between -1.22 and +1.22 is 0.8888 - (1 - 0.8888) = 0.7776.
So, the closest answer to the options given is 0.7775.
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