Answer :
Answer:
z score = 1.25
Step-by-step explanation:
Buster is a male Labrador Retriever who is 24.5 inches tall. The height of male Labrador Retrievers is normally distributed with a mean of 23.5 inches and a standard deviation of 0.8 inches. (The height of a dog is measured from his shoulder.) Find and interpret Buster's z-score.
The formula for z-score =
z = (x-μ)/σ, where
x is the raw score = 24.5 inches
μ is the population mean = 23.5 inches
σ is the population standard deviation. = 0.8
Hence,
z = 24.5 - 23.5/0.8
z = 1.25
Probability value from Z-Table:
P(x = 24.5) = 0.89435
From the above calculation, the z-score = 1.25
The interpretation of the z score is since the z score is positive, this means the given data is higher or greater than the mean