Find the z -scores corresponding to the given areas under the standard normal di
ID: 3366872 • Letter: F
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
The area to the left of z is 15% = -1.036
The area to the right of z is 65%. = -0.385
The area to the left of z is 10%. = -1.282
The area to the right of z is 5%. = 1.645
The area between –z and z is 95% = -1.96 and 1.96
The area between –z and z is 99%. = -2.576 and 2.576
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.