please help The energy storage system is an important part of any electric car. An electric carcompany has decided to replace their batteries with a new type and want to examinetwo types of batteries for its new vehicles: Lithium-ion and Lead-acid batteries. Dueto the critical role of lifespan in the energy storage system, the company randomlyselected 10 samples from each type and ran an accelerated life test to obtain thelifetime of each battery type. The measured lifespan is illustrated in the table below:Lithium-ionLead-acid365370366358369362364364363357365355364366365359369355362356(a) Test the hypothesis that the mean lifespan of the two battery types are equal.Use a = 0.01 and assume equal variances.(b) Find the P-value for this test.

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Answered: The energy storage system is an…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 25EQ

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Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on organisms, an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 900 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy .) A study was conducted on a sample of 27 randomly selected tardigrade colonies, finding that the amount of gamma radiation needed to sterilize a colony had a sample mean of 907 Gy , with a sample standard deviation of 17 Gy . Assume that the population of amounts of gamma radiation needed to sterilize a colony of tardigrades is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that μ , the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 900…

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