Answered: There are 20 crew members at a given…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

See similar textbooks

Related questions

Question

There are 20 crew members at a given university. You want to calculate the probability that their mean BMI will be 2 units below the mean BMI for the population. Assume the standard deviation is 5 and the outcome is normally distributed in the population.

Hint: you have all of the information you need to calculate the answer to this question. Ask yourself, what is the value of the numerator? If it helps, substitute (made up) numbers for the variables in the numerator based on the information given in the question.

Which probability model should you apply to this question, and why?
Calculate the probability.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution