The number of pizzas consumed per month by university students is normally distributed with a mean of 8 and a standard deviation of 3. A. What proportion of students consume more than 11 pizzas per month? Probability = B. What is the probability that in a random sample of size 9, a total of more than 63 pizzas are consumed? (Hint: What is the mean number of pizzas consumed by the sample of 9 students?) Probability =

The number of pizzas consumed per month by university students is normally distributed with a mean of 8 and a standard deviation of 3. A. What proportion of students consume more than 11 pizzas per month? Probability = B. What is the probability that in a random sample of size 9, a total of more than 63 pizzas are consumed? (Hint: What is the mean number of pizzas consumed by the sample of 9 students?) Probability =

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 number of pizzas consumed per month by university students is normally distributed with a mean of 8 and a standard deviation of 3.

A. What proportion of students consume more than 11 pizzas per month?

Probability =

B. What is the probability that in a random sample of size 9, a total of more than 63 pizzas are consumed? (Hint: What is the mean number of pizzas consumed by the sample of 9 students?)

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.

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