Answer the following questions using the standard normal distribution. Draw the

Question

Answer the following questions using the standard normal distribution. Draw the curve of the distribution and shade the region that is described in each question. Then you can use your calculator, or tables to find your answers. If you use your calculator, make sure you include the command you use.

a) What is the probability that a z-score is between -1.2 and 1.74? ____________________________

b) What percent of data is more than z=1.56? _____________________________

c) What z-score represents the 45th percentile? _____________________________

d) What is the value of Z0.75? ______________________________

e) Find the two z-sores that bound the middle 80% of the area around the mean under the standard normal curve? _________________________________

f) Find the probability that a z-score is at most z = - 0.35. _________________________________

Explanation / Answer

from normal value table:

a)P(-1.2<Z<1.74)= 0.9591-0.1151=0.8440

b)P(Z>1.56)=0.0594

c)for 45th % ; z=-0.1257

d)for 75th percentile ; z=0.6745

e)for middle 80% lie b.w 10% and 90%

hence z=+/- 1.2816

f) P(Z<-0.35)=0.3632

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.