In a population distribution, a score of X = 28 corresponds to a z = -6.00 and a score of 66 corresponds to a z = 3.50. Find the mean and the standard deviation for the population.(3points) A distribution with a mean of 123 and a standard deviation of 8 is transformed into a standardized distribution with a mean of 54 and a standard deviation of 5. Find the new standardized score for each of the values from the original population.(8 points) X = 130 X = 150 X = 100 X = 105 Find the z-score boundaries that separate a normal distribution as described in each of the following.(4 points) The middle 26% from the 74% in the tails. The middle 70% from the 30% in the tails. S.M.A.R.T. test scores are standardized to produce a normal distribution with a mean of 150 and a standard deviation of 25. Find the proportion of the population in each of the following S.M.A.R.T. categories.(6 points) Genius: Score of greater than 180 Superior intelligence: Score between 133 and 161. Average intelligence: Score between 110 and 120.

In a population distribution, a score of X = 28 corresponds to a z = -6.00 and a score of 66 corresponds to a z = 3.50. Find the mean and the standard deviation for the population. (3points) A...

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In a population distribution, a score of X = 28 corresponds to a z = -6.00 and a score of 66 corresponds to a z = 3.50. Find the mean and the standard deviation for the population.(3points)

A distribution with a mean of 123 and a standard deviation of 8 is transformed into a standardized distribution with a mean of 54 and a standard deviation of 5. Find the new standardized score for each of the values from the original population.(8 points)

X = 130

X = 150

X = 100

X = 105

Find the z-score boundaries that separate a normal distribution as described in each of the following.(4 points)

The middle 26% from the 74% in the tails.

The middle 70% from the 30% in the tails.

S.M.A.R.T. test scores are standardized to produce a normal distribution with a mean of 150 and a standard deviation of 25. Find the proportion of the population in each of the following S.M.A.R.T. categories.(6 points)

Genius: Score of greater than 180

Superior intelligence: Score between 133 and 161.

Average intelligence: Score between 110 and 120.

Answered Same DayOct 31, 2021

Answer To: In a population distribution, a score of X = 28 corresponds to a z = -6.00 and a score of 66...

Pooja answered on Oct 31 2021

146 Votes

3)
z = (X-mean)/sd
that is z*sd = (X-mean)

-6*sd = (28-mean)         …(1)
3.5*sd = (66-mean)         …(2)

subtract (1) - (2)
-9.5*Sd = -38
sd =      =38/9.5
sd =     4.0

put sd=4 in (1)
-6*4 = 28-mean
mean = 28 + 24
mean =     52
4)
a)
z = (X-mean)/sd
=(130-123)/8
0.875
b)
z = (X-mean)/sd
=(150-123)/8
3.375
c)
=(100-123)/8
-2.875
d)
...

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In a population distribution, a score of X = 28 corresponds to a z = -6.00 and a score of 66 corresponds to a z = 3.50. Find the mean and the standard deviation for the population. (3points) A...

Answer To: In a population distribution, a score of X = 28 corresponds to a z = -6.00 and a score of 66...

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