A company that makes shampoo wants to test whether the average amount of shampoo per bottle is 16 ounces.The standard deviation is known to be 0.20 ounces.Assuming that the hypothesis test is to be performed using 0.10 level of significance and a random sample of n = 64 bottles,which of the following would be the correct formulation of the null and alternative hypotheses? A)H₀ : = 16 H_A := 16 B)H₀ : μ = 16 H_A : μ ≠ 16 C)H₀ : μ ≥ 16 H_A : μ

Question

A company that makes shampoo wants to test whether the average amount of shampoo per bottle is 16 ounces.The standard deviation is known to be 0.20 ounces.Assuming that the hypothesis test is to be performed using 0.10 level of significance and a random sample of n = 64 bottles,which of the following would be the correct formulation of the null and alternative hypotheses? A)H₀ : = 16 H_A := 16 B)H₀ : μ = 16 H_A : μ ≠ 16 C)H₀ : μ ≥ 16 H_A : μ < 16 D)H₀ : ≥ 16 H_A :

Quizplus · Accepted Answer

The null hypothesis should state that the average amount of shampoo per bottle is equal to 16 ounces, while the alternative hypothesis should state that it is not equal to 16 ounces. Therefore, choice B properly formulates the null hypothesis as H₀ : μ = 16 and the alternative hypothesis as H_A : μ ≠ 16. The other choices either have incorrect symbols or incorrectly formulate the direction of the alternative hypothesis.

A Company That Makes Shampoo Wants to Test Whether the Average