A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least761hours. A random sample of30light bulbs has a mean life of739hours. Assume the population is normally distributed and the population standard deviation is59hours. Atα=0.05,do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through�� (e).(a) Identify the null hypothesis and alternative hypothesis. A.H0:μ=739Ha:μ≠739(claim) B.H0:μ≠761(claim)Ha:μ=761 C.H0:μ≤739Ha:μ>739(claim) D.H0:μ<739(claim)Ha:μ≥739 E.H0:μ>761Ha:μ≤761(claim) F.H0:μ≥761(claim)Ha:μ<

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Description: A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least761hours. A random sample of30light bulbs has a mean life of739hours. Assume the population is normally distributed and the population standard deviati

Given Information: Sample size n=30 Sample size x¯=739 Population standard deviation σ=59…

Answered: A light bulb manufacturer guarantees…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least

761

hours. A random sample of

light bulbs has a mean life of

739

hours. Assume the population is normally distributed and the population standard deviation is

hours. At

α=0.05,

do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through�� (e).

(a) Identify the null hypothesis and alternative hypothesis.

H0:

μ=739

Ha:

μ≠739

(claim)

H0:

μ≠761(claim)

Ha:

μ=761

H0:

μ≤739

Ha:

μ>739

(claim)

H0:

μ<739

(claim)

Ha:

μ≥739

H0:

μ>761

Ha:

μ≤761

(claim)

H0:

μ≥761

(claim)

Ha:

μ<

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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