Use the following to answer the question(s) below.
The weights of soy patties sold by Veggie Burgers Delight are normally distributed. A random sample of 15 patties yields a mean weight of 108 grams with a sample standard deviation of 14 grams. At the 0.05 level of significance, perform a hypothesis test to see if the true mean weight is less than 113 grams.
-The correct null and alternative hypotheses are

Question

Quizplus · Accepted Answer

The null hypothesis should be that the true mean weight is equal to or greater than 113 grams. The alternative hypothesis should be that the true mean weight is less than 113 grams. This is because the question asks if the mean weight is less than 113 grams, so we want to test if there is evidence to support this claim. Therefore, the correct null and alternative hypotheses are: H0: µ ≥ 113; HA: µ < 113. Option B correctly identifies this as the null and alternative hypotheses, making it the best choice.

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