Answered: According to a report done by S & J…

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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Question

According to a report done by S & J Power, the mean lifetime of the light bulbs it manufactures is

months. A researcher for a consumer advocate group tests this by selecting

bulbs at random. For the bulbs in the sample, the mean lifetime is

months. It is known that the population standard deviation of the lifetimes is

months. Assume that the population is normally distributed. Can we conclude, at the

0.05

level of significance, that the population mean lifetime,

, of light bulbs made by this manufacturer differs from

months?

Perform a two-tailed test. Then complete the parts below.

Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)

(a)	State the null hypothesis H0 and the alternative hypothesis H1 .
H0:
H1:
(b)	Determine the type of test statistic to use.
	▼(Choose one)
(c)	Find the value of the test statistic. (Round to three or more decimal places.)

(d)	Find the p-value. (Round to three or more decimal places.)

(e)	Can we conclude that the population mean lifetime of light bulbs made by this manufacturer differs from 48 months?
Yes No

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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