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". a. ) The area to the left of z is 15% b. ) The area to the right of z is 65%. c.) The area to the left of z is 10%. d.) The area to the right of z is 5%. e. , The area between -z and z is 95%. (Hint draw a picture and figure out the area to e left of the -z) The area between-z and z is 99%. f. ) Remember, z is distributed as the standard normal distribution with mean H O 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 -0093,-0.043 1.323,+1.323

Explanation / Answer

a) z=-1.03643 by using NORM.S.INV(0.15)
rounded= -1.036

b) z=-0.3853 by using NORM.S.INV(0.35)
rounded=-0.385

c) z=-1.2815 by using NORM.S.INV(0.10)
rounded= -1.282

d) z=1.64485 by using NORM.S.INV(0.95)
rounded=1.645

e) 95% means 2.5% is each tail
so z=-1.960 and z=+1.960 by using NORM.S.INV(0.025)

f) z=-2.576 and z=+2.576 by using NORM.S.INV(0.025)

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