. The weights of ice cream cartons are normally distributed with a mean weight of 13 ounces and a standard deviation of 0.4 ounce. (a) What is the probability that a randomly selected carton has a weight greater than 13.24 ounces? (b) A sample of 16 cartons is randomly selected. What is the probability that their mean weight is greater than 13.24 ounces?

. The weights of ice cream cartons are normally distributed with a mean weight of 13 ounces and a standard deviation of 0.4 ounce. (a) What is the probability that a randomly selected carton has a weight greater than 13.24 ounces? (b) A sample of 16 cartons is randomly selected. What is the probability that their mean weight is greater than 13.24 ounces?

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

The weights of ice cream cartons are normally distributed with a mean weight of 13 ounces and a standard deviation of 0.4 ounce.

(a) What is the probability that a randomly selected carton has a weight greater than 13.24 ounces?

(b) A sample of 16 cartons is randomly selected. What is the probability that their mean weight is greater than 13.24 ounces?

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.

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