Please explain how I set up and solve this problem:
For each of the populations would a score of x= 50 be considered a central score (near the middle of the distribution) or an extreme score (far out of the tail of the distribution ) is this set up x-u/o?

u=45 o= 10
u=45 o= 2
u= 90 o= 20
u= 60 o=20

If i have a problem that is a distribution with a mean of u=38 and a standard deviation of o=5 is transformed into a standardized distribution with u= 50 and o= 10. Now i need to find the new standardized score for each value from the original population. I have no clue how to set this up and solve it. Please explain in steps if possible.

original x= 39 transformed x=____
original x= 43 transformed x=____
original x= 35 transformed x=____
original x= 28 transformed x=____.

Solution Preview

1. An extreme score happens when z value is above 2 or below -2.
So if x=50, z=(50-45)/10=0.5 (central score)
if x=50, z=(45-45)/2=0 ...

Solution Summary

The solution gives detailed steps on determining central score and extreme score and transforming between two normal random variables. All steps are shown with brief explanations.

... The extreme values can be identified using the Z scores and probability. An Z score below -3 have only a very rare probability P(Z<-3) = 0.0013 and Z score...

Z-Scores and Standard Deviation. ... 3 and 7 for both variables (these scores correspond to ... satisfied to somewhat dissatisfied and exclude the extreme ratings of ...

... To determine the "extreme" high and low RCMAS scores accurately, Z-scores of each individual were calculated, and sample Z-scores for 5 individuals are ...

... the probability of getting a certain z-score value equal to ... the one that is observed (ie, more extreme in the ... of the distribution of all possible z-scores in a ...

Exercises with Z-Scores and Percentiles. ... 0.08 (-0.08 = 93.62 (46.81+ 46.81) (above) 6.38 (3.19 + 3.19) (below), 0.08 (at least as extreme as this z score). ...

... I computed the standard deviation ( 2923.96) and z-scores (how many standard deviations ... The median is not impacted by extreme scoresit just orders the data ...

... value) that corresponds to each of the following z scores: z = -1.00 ... a) For a sample of n = 4 scores, would a ... mean of M = 55 be considered an extreme value or ...

... The shaded area represents the most extreme (positive) z-scores in the distribution, and in the area, represents 5% of the total area under the curve. ...

... In addition, when it comes to the extremes, the curve ... To obtain the Z score, we first subtracted the data ... standard curve by converting them into the Z scores. ...