A manufacturer claims that the mean lifetime, µ, of its light bulbs is 44 months. The standard deviation of these lifetimes is 7 months. Twenty-three bulbs are selected at random, and their mean lifetime is found to be 48 months. Assume that the population is normally distributed. Can we conclude, at the 0.01 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 44 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 H, and the alternative hypothesis H . Ho :0 H :0 |(b) Determine the type of test statistic to use. |(Choose one) D=0 Oso O20 |(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 mean lifetime of light bulbs made by this manufacturer differs from 44 months? OYes ONo

A manufacturer claims that the mean lifetime, µ, of its light bulbs is 44 months. The standard deviation of these lifetimes is 7 months. Twenty-three bulbs are selected at random, and their mean lifetime is found to be 48 months. Assume that the population is normally distributed. Can we conclude, at the 0.01 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 44 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 H, and the alternative hypothesis H . Ho :0 H :0 |(b) Determine the type of test statistic to use. |(Choose one) D=0 Oso O20 |(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 mean lifetime of light bulbs made by this manufacturer differs from 44 months? OYes ONo

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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