Answered: The lifetime of lightbulbs has a mean…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 3CYU

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Question

The lifetime of lightbulbs has a mean of 1500 hours and a standard deviation of 70 hours. A sample of 40 lightbulbs is tested. Use the Cumulative Normal Distribution Table or technology. Round your answers to four decimal places.

(a)What is the probability that the sample mean lifetime is greater than

1520

hours?

The probability that the sample mean lifetime is greater than

1520

hours is

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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