A population of values has a normal distribution with mean of 50.6 ahd stan deviation of 98.9. a) Get the z-score for a value of 44. For this problem you use the z score for b) This z-score tells you how many the score of 44 is above below the population mean u. hility that a randomly selected value is less than 44.

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Part 1
A population of values has a normal distribution with mean of 50.6 and standard
deviation of 98.9.
a) Get the z-score for a value of 44. For this problem you use the z score formula
b) This z-score tells you how many
the score of 44 is above or
below the population mean u.
c) Find the probability that a randomly selected value is less than 44.
Transcribed Image Text:Part 1 A population of values has a normal distribution with mean of 50.6 and standard deviation of 98.9. a) Get the z-score for a value of 44. For this problem you use the z score formula b) This z-score tells you how many the score of 44 is above or below the population mean u. c) Find the probability that a randomly selected value is less than 44.
Expert Solution
Step 1

Given Information:

μ=50.6

σ=98.9

(a) To get the z-score for a value of 44:

Z-score is a measure which tells how many standard deviations away a data value is, from the mean. It is given by the formula:

Z=X-μσ

where, X is the Raw score

            μ is the mean 

            σ is the standard deviation.

Substitute the given values in the formula:

Z=44-50.698.9=-6.698.9=-0.0667341-0.07

Thus, z-score for a value of 44 is -0.07

 

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