he mean potassium content of a popular sports drink is listed as 140 mg in a 32-oz bottle. Analysis of 20 bottles indicates a sample mean of 139.4 mg. (a) State the hypotheses for a two-tailed test of the claimed potassium content. (A) H0: μ = 140 mg vs. H1: μ ≠ 140 mg(B) H0: μ ≤ 140 mg vs. H1: μ > 140 mg(C) H0: μ ≥ 140 mg vs. H1: μ < 140 mg

Answer: (A) H0: μ = 140 mg vs. H1: μ ≠ 140 mg Step-by-step explanation:Usually null hypothesis represents the claim that the values associated to the groups being tested have no statistical difference but alternative hypothesis supports the claim that there is statistical difference.Let [tex]\mu[/tex] be the population mean .We are given that the mean potassium content of a popular sports drink is listed as 140 mg in a 32-oz bottle.i.e. Null hypothesis :[tex]H_0:\mu=140[/tex]Alternative hypothesis for two tail hypothesis has sign (≠).i.e. Alternative hypothesis : [tex]H_1 : \mu\neq140[/tex]∴ The hypotheses for a two-tailed test of the claimed potassium content: H0: μ = 140 mg vs. H1: μ ≠ 140 mg