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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 are asked to test this claim because many consumers believe that the carbohydrates level is lower. You find that a random sample of 60 soft drinks have mean 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-Test One-Tailed Z-Test Two-Tailed T-Test One-Tailed T-Test b. What are the appropriate hypotheses for the test? Ho : µ = 14g H1 :u+14g Ho : µ # 13.82gHị : µ = 13.82g Ho : µ = 14g H1 : 4> 14g Ho : µ = 14g H1 : H< 14g c. 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 0.05 Fail to reject H, because -0.8741 falls outside the critical region May reject Ho, because -0.8714 falls within the critical region O Fail to reject Ho, because p-value is greater than 0.05

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 are asked to test this claim because many consumers believe that the carbohydrates level is lower. You find that a random sample of 60 soft drinks have mean 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-Test One-Tailed Z-Test Two-Tailed T-Test One-Tailed T-Test b. What are the appropriate hypotheses for the test? Ho : µ = 14g H1 :u+14g Ho : µ # 13.82gHị : µ = 13.82g Ho : µ = 14g H1 : 4> 14g Ho : µ = 14g H1 : H< 14g c. 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 0.05 Fail to reject H, because -0.8741 falls outside the critical region May reject Ho, because -0.8714 falls within the critical region O Fail to reject Ho, because p-value is greater than 0.05

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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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 are asked to test this claim because many consumers believe that the carbohydrates level is lower. You find that a random sample of 60 soft drinks have mean 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-Test One-Tailed Z-Test Two-Tailed T-Test One-Tailed T-Test b. What are the appropriate hypotheses for the test? Ho : µ = 14g H1 :u#14g Ho : µ # 13.82gHị : µ = 13.82g Ho : µ = 14g H1 : 4> 14g Ho : µ = 14g H1 : H< 14g c. 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 0.05 Fail to reject H, because -0.8741 falls outside the critical region May reject Ho, because -0.8714 falls within the critical region O Fail to reject Ho, because p-value is greater than 0.05
Transcribed Image Text: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 are asked to test this claim because many consumers believe that the carbohydrates level is lower. You find that a random sample of 60 soft drinks have mean 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-Test One-Tailed Z-Test Two-Tailed T-Test One-Tailed T-Test b. What are the appropriate hypotheses for the test? Ho : µ = 14g H1 :u#14g Ho : µ # 13.82gHị : µ = 13.82g Ho : µ = 14g H1 : 4> 14g Ho : µ = 14g H1 : H< 14g c. 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 0.05 Fail to reject H, because -0.8741 falls outside the critical region May reject Ho, because -0.8714 falls within the critical region O Fail to reject Ho, because p-value is greater than 0.05
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