We appreciate your visit to According to CDC data the average weight of U S women aged 20 to 29 is 156 3 pounds with a standard deviation of 67. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
The weight of the sample of 50 commercial advertising models is 117 pounds and this falls below the average weight of the population of 20- to 29-year-old women.
The average weight of U.S. women aged 20 to 29 is given as 156.3 pounds and the standard deviation is 67 pounds. The average weight of a sample of 50 commercial advertising models is 117 pounds. We are to determine how the sample of models compares to the average weight of the population of 20- to 29-year-old women.Therefore, we can use the z-score formula to solve for the answer.
The formula for the z-score is given as:z = (x - μ) / σWhere:x = sample meanμ = population mean σ = population standard deviation We can obtain the value of z using the above formula as follows:z = (x - μ) / σ= (117 - 156.3) / (67 / √50)= -3.09Since the z-score value is negative, this implies that the weight of the sample of 50 commercial advertising models falls below the average weight of the population of 20- to 29-year-old women. Hence, the sample of models compares unfavorably with the average weight of the population of 20- to 29-year-old women.
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