The batteries from a certain manufacturer have a mean lifetime of 860 hours, with a standard deviation of 90 hours. Assuming that the lifetimes are normally distributed, complete the following statements.(a) Approximately? (68% 75% 95% 99.7%) of the batteries have lifetimes between 770 hours and 950 hours.(b) Approximately 95% of the batteries have lifetimes between ___ hours and ___ hours. The batteries from a certain manufacturer have a mean lifetime of 860 hours, with a standard deviation of 90 hours. Assuming that the lifetimes are normallydistributed, complete the following statements.(a) Approximately?950 hours.of the batteries have lifetimes between 770 hours and(b) Approximately 95% of the batteries have lifetimes between hours andhours.XŚ

Let X be the random variable that the lifetime of the manufacturer.Given that,

Answered: (a) Approximately? 950 hours. of the…

(a) Approximately? 950 hours. of the batteries have lifetimes between 770 hours and (b) Approximately 95% of the batteries have lifetimes between hours and hours.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Question

100%

The batteries from a certain manufacturer have a mean lifetime of 860 hours, with a standard deviation of 90 hours. Assuming that the lifetimes are normally distributed, complete the following statements.

(a) Approximately? (68% 75% 95% 99.7%) of the batteries have lifetimes between 770 hours and 950 hours.

(b) Approximately 95% of the batteries have lifetimes between ___ hours and ___ hours.

The batteries from a certain manufacturer have a mean lifetime of 860 hours, with a standard deviation of 90 hours. Assuming that the lifetimes are normally
distributed, complete the following statements.
(a) Approximately?
950 hours.
of the batteries have lifetimes between 770 hours and
(b) Approximately 95% of the batteries have lifetimes between hours and
hours.
X
Ś

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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