A certain soft drink advertises that their drink contains 14g of carbohydrates with a variance of 2.56g. You work for a nutritional health agency and areasked to test this claim because many consumers believe that the carbohydrates level is lower. You find that a random sample of 60 soft drinks havemean carbohydrates level of 13.82g. At the 5% level, do you have enough evidence to reject the manufacturer's claim?a. Which of the following statistical tests is most appropriate in this scenario?Two-Tailed Z-TestOne-Tailed Z-TestTwo-Tailed T-TestOne-Tailed T-Testb. What are the appropriate hypotheses for the test?Ho : µ = 14g H1 :u#14gHo : µ # 13.82gHị : µ = 13.82gHo : µ = 14g H1 : 4> 14gHo : µ = 14g H1 : H< 14gc. After conducting the appropriate significance test, the test statistic was found to be -0.8714.Therefore, the conclusion for the test is:May reject Ho, because p-value is less than 0.05Fail to reject H, because -0.8741 falls outside the critical regionMay reject Ho, because -0.8714 falls within the critical regionO Fail to reject Ho, because p-value is greater than 0.05

Given: x¯=sample mean=13.82n=sample size=60μ=population mean=14σ2=population variance=2.56σ=2.56…

Answered: A certain soft drink advertises that…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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