Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

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.

Sagot :

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

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.