Find the zscore for which the area to its left is 021 Round

Find the z-score for which the area to its left is 0.21. Round the answer to two decimal places.

The z-score for the given area is________________.

Find the z-score for which the area to its right is 0.36. Round the answer to two decimal places.

The z-score for the given area is________________.

Find the z-scores that bound the middle 82% of the area under the standard normal curve. Enter the answers in ascending order and round to two decimal places.

The z-scores for the given area are ______________ and ________________.

Solution

Area to left is 0.21 means area between z and y axis is 0.5-0.21 = 0.29

z score for this from table = -0.81 ( as area below this is 0.21)

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Area to the right is 0.36 means z is positive.

And area between z and y axis is 0.5-0.36 = 0.14

z = 0.36

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Z scores that bound 82% means

P(|Z|<z) = 0.41

z = -1.34 and 1.34

-1.34<z<1.34