Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

The weights of 1,000 men in a certain town follow a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds.
From the data, we can conclude that the number of men weighing more than 165 pounds is about
135 pounds is about
and the number of men weighing less than

Answer 1

To determine the number of men weighing more than 165 pounds from a normally distributed sample of weights with a known mean and standard deviation, calculate the Z-score for 165 pounds and find the corresponding percentile using a normal distribution table or calculator.

Step-by-step explanation:

The question asks to determine the number of men in a town who weigh more than 165 pounds, given that the weights of 1,000 men follow a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds. To find this number, we would use a normal distribution table or calculator, finding the Z-score for 165 pounds, and then looking up the corresponding percentile.

The Z-score is calculated as (X - μ) / σ, where X is the value we are looking at (165 pounds), μ is the mean (150 pounds), and σ is the standard deviation (15 pounds). However, the question does not provide the full information necessary to calculate the exact number, such as access to a normal distribution table or calculator. Therefore, we can only provide the method to find the answer, rather than the answer itself.