the length of a spool of ribbon with a z-score of 0.7 is 92.3 cm
Step-by-step 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 :
⇒ [tex]Z = \frac{X-Mean}{\Standrad deviation}[/tex]
⇒ [tex]0.7 = \frac{X-91.4}{1.3}[/tex]
⇒ [tex]0.91 = X-91.4[/tex]
⇒ [tex]X=92.3cm[/tex]
Therefore , the length of a spool of ribbon with a z-score of 0.7 is 92.3 cm
