Question

after recording the pizza delivery times for two different pizza shops, you conclude that one pizza shop has a mean delivery time of 46 minutes with a standard deviation of 2 minutes. the other shop has a mean delivery time of 45 minutes with a standard deviation of 18 minutes. interpret these figures. if you liked the pizzas from both shops equally well, which one would you order from? why? if you liked the pizzas from both shops equally well, which one would you order from? why? choose the correct answer below. a. choose the second shop. the delivery time is more reliable because it has a larger standard deviation.

Explanation:

Mean measures average delivery time; standard deviation measures consistency. The first shop has a slightly higher mean (46 vs. 45 minutes) but a much smaller standard deviation (2 vs. 18 minutes), meaning its delivery times are far more reliable and less variable. The second shop’s large standard deviation indicates unpredictable delivery times, even with a lower mean.

Answer:

(Note: Since full options are not visible, the correct reasoning is to choose the first shop (mean 46, SD 2) for reliable delivery times. If the visible option A is incorrect (as larger SD does not mean reliability), the correct answer would be the shop with smaller SD for consistency.)

(Assuming the missing correct option states choosing the first shop due to smaller standard deviation for reliable delivery, the answer would align with that. Based on the visible incorrect option A, the correct choice is the shop with mean 46 and SD 2 for predictable delivery.)