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The lengths of spools of ribbon are normally distributed with a mean of 91.4 centimeters and a standard deviation of 1.3 centimeters.

What is the length of a spool of ribbon with a z-score of 0.7?



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the length of a spool of ribbon with a z-score of 0.7 is 92.3 cm

Explanation:

Here we have , The lengths of spools of ribbon are normally distributed with a mean of 91.4 centimeters and a standard deviation of 1.3 centimeters. What is the length of a spool of ribbon with a z-score of 0.7 . Let's find out:

According to Question we have following parameters as :

X = the length of a spool of ribbon

Mean(x) = 91.4 cm

standard deviation(y) = 1.3 cm

Z = 0.7

We know that Z score is given by :


Z = (X-Mean)/(\Standrad deviation)


0.7 = (X-91.4)/(1.3)


0.91 = X-91.4


X=92.3cm

Therefore , the length of a spool of ribbon with a z-score of 0.7 is 92.3 cm

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