The sample tensile strength of fiber specimens will be greater than 75.75 psi in 43.25 percent of cases.
Z-score: Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean. Standard deviation is essentially a reflection of the amount of variability within a given data set.
given that a synthetic fiber used in manufacturing carpet has a tensile strength that is normally distributed with a mean 75.5 psi and standard deviation 3.5 psi
z = (raw score - mean) / (sample standard deviation - standard deviation)
n = 6; mean=75.5 psi; standard deviation=3.5 psi.
For (greater than) > 75.75,
z = (75.75 - 75.5) / (3.5 ÷√6) = 0.17
P(z > 0.17) = 1 - P(z < 0.17) = 1 - 0.5675 = 43.25%
The sample tensile strength of fiber specimens will be greater than 75.75 psi in 43.25 percent of cases.
To learn more about z-score visit:
brainly.com/question/15016913
#SPJ4
