Question

The manager of Frenchies is concerned that patrons are not consistently receiving the same amount of French fries with each order. The chef claims that the standard deviation for a ten-ounce order of fries is at most 1.5 oz., but the manager thinks that it may be higher. He randomly weighs 49 orders of fries, which yields a mean of 11 oz. and a standard deviation of two oz.

a) The manager's claim is correct.

b) The chef's claim is correct.

c) Both a ,b , and c

d) None of the above

Answer 1

The manager's concern about the standard deviation of french fry servings being greater than what the chef claimed is justified, as the sample standard deviation from 49 orders is 2 ounces, higher than the chef's claim of 1.5 ounces.

Step-by-step explanation:

The subject of this question is a hypothesis test regarding the standard deviation of the weight of French fries served at a restaurant. Here, we are evaluating the claims made by both the chef and the manager of Frenchies. The chef claims that the standard deviation for a 10-ounce order of fries is at most 1.5 ounces, but the manager thinks it may be higher. After weighing 49 orders, the manager found a sample mean of 11 ounces and a sample standard deviation of 2 ounces.

To assess whether the manager's claim is correct, we would typically conduct a hypothesis test for variance or standard deviation (e.g., Chi-square test for the standard deviation). However, since the sample standard deviation (2 oz.) is indeed higher than what the chef claimed (1.5 oz.), without conducting the formal test, we can see that the manager's concern is justified according to this sample. Therefore, the correct answer would be that the manager's claim is correct.