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Find the value of z such that 0.8904 of the area lies between −z and z. Round your answer to two decimal places.

User Jrgm
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Answer: Assuming a standard normal distribution, we know that the total area under the curve is equal to 1. Since 0.8904 of the area lies between -z and z, the remaining area (0.1096) lies outside of this range.

Since the normal distribution is symmetric around the mean, the area to the left of -z is the same as the area to the right of z. Therefore, we can find the area to the right of z by subtracting 0.1096 from 1 and dividing by 2:

(1 - 0.1096)/2 = 0.4452

We can use a standard normal distribution table or calculator to find the z-score that corresponds to an area of 0.4452 to the right of the mean. This z-score is approximately 1.70.

Therefore, the value of z such that 0.8904 of the area lies between -z and z is approximately 1.70. Rounded to two decimal places, this is 1.70.

Explanation:

User Sonnenhut
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