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

Since the question is asking if the mean weight is smaller than it is supposed to be (which is 56 gm), the alternative hypothesis should state that the population mean is less than 56 gm. Therefore, the correct hypothesis statements are: H0: μ ≥ 56, H1: μ < 56. The option (B) is the only one that matches this criterion.

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