The process that produces Sonora Bars (a type of candy) is intended to produce bars with a mean weight of 56 gm. The process standard deviation is known to be 0.77 gm. A random sample of 49 candy bars yields a mean weight of 55.82 gm. Which are the hypotheses to test whether the mean is smaller than it is supposed to be? A)H₀: μ ≤ 56, H₁: μ 56 B)H₀: μ ≥ 56, H₁: μ

Question

The process that produces Sonora Bars (a type of candy) is intended to produce bars with a mean weight of 56 gm. The process standard deviation is known to be 0.77 gm. A random sample of 49 candy bars yields a mean weight of 55.82 gm. Which are the hypotheses to test whether the mean is smaller than it is supposed to be? A)H₀: μ ≤ 56, H₁: μ > 56 B)H₀: μ ≥ 56, H₁: μ < 56 C)H₀: μ = 56, H₁: μ ≠ 56 D)H₀: μ < 56, H₁: μ ≥ 56

Quizplus · Accepted Answer

The null hypothesis states that the mean weight of candy bars is greater than or equal to 56. The alternative hypothesis states that the mean weight of candy bars is less than 56. This is because we suspect that the process is producing bars with a smaller mean weight than intended. Therefore, the correct set of hypotheses is: H₀: μ ≥ 56 H₁: μ < 56

The Process That Produces Sonora Bars (A Type of Candy)