Find the z-scores corresponding to the given areas under the standard normal dis

Question

Find the z-scores corresponding to the given areas under the standard normal distribution "bell curve". ) The area to the left of z is 15% ) The area to the right of z is 65%. ) The area to the left of z is 10%. ) The area to the right of z is 5%. ) The area between –z and z is 95%. (Hint draw a picture and figure out the area to the left of the –z) ) The area between –z and z is 99%. Remember, z is distributed as the standard normal distribution with mean ? = 0 and standard deviation ? = 1 For parts (a) through (d): Enter answers in decimal form rounded to nearest thousandth (3 places after decimal). Be sure to include sign! Examples of correctly entered answers: 0.000 –0.003 +0.070 +0.100 –0.395 +1.000 For parts (e) and (f): Enter both answers separated by comma (no spaces). Answers in decimal form rounded to nearest thousandth (3 places after decimal). Be sure to include sign! Examples of correctly entered answers: –0.003,+0.062 –0.093,–0.043 –1.323,+1.323

Explanation / Answer

a)The area to the left of z is 15% ; z=-1.036

b) area to the right of z is 65%.;z=-0.385

c) area to the left of z is 10% ; z=-1.282

d)area to the right of z is 5% ; z=1.645

e) area between –z and z is 95% ; z=-1.960 ; 1.960

f)area between –z and z is 99% ; z=-2.576;2.576

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