Answered: The temperature for a random day in…

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 temperature for a random day in April in Long Beach is normally distributed with an average of 77 degrees Fahrenheit and a standard deviation 9 degrees Fahrenheit. Let the sample mean, t, be the average temperature for a week. What is the probability this average temperature is between 72 and 80 degrees Fahrenheit, P({72<t<80})? Hint{what is the size of the sample?}

a)0.3416

b)0.7398

c).3381

d).7388

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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