Find the specified percentile, quartile, or decile.
-The weights of certain machine components are normally distributed with a mean of 8.98 g and a standard deviation of 0.05 g. Find the 97th percentile.
A)8.99 g
B)9.00 g
C)9.12 g
D)9.07 g

Question

Find the specified percentile, quartile, or decile.
-The weights of certain machine components are normally distributed with a mean of 8.98 g and a standard deviation of 0.05 g. Find the 97th percentile. 
A)8.99 g
B)9.00 g
C)9.12 g
D)9.07 g

Quizplus · Accepted Answer

The 97th percentile corresponds to a z-score of approximately 1.88 in a standard normal distribution. Using the formula X = μ + zσ, where μ = 8.98 and σ = 0.05, we calculate X = 8.98 + (1.88)(0.05) = 9.07 g.

Find the Specified Percentile, Quartile, or Decile