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

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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 = 130X = 150X = 100X = 105Find 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 180Superior intelligence: Score between 133 and 161.Average intelligence: Score between 110 and 120.

Pooja · Accepted Answer

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.

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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