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Points: 0 of 1 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 5 minutes. The other shon has a mean delivery time of 42 minutes with a standard deviation of 21 minutes. Interpret these figures. If you liked the pizzas from both shops equally well, which one would you order from? Why? Interpret these figures. Choose the correct answer below. A. Both the means and the variations are nearly equal. B. The means are nearly equal, but the variation is significantly greater for the second shop than for the first. C. The variations are nearly equal, but the mean is greater for the first shop than for the second. D. The means are nearly equal, but the variation is significantly lower for the second shop than for the first. 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. B. Choose the first shop. The delivery time is more reliable because it has a lower standard deviation. C. Choose the first shop. The delivery time is more reliable because it has a lower mean. D. Choose the second shop. The delivery time is more reliable because it has a larger mean.

Ask by Chandler Barnett. in the United States
Mar 19,2025

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**Interpretation:** - Both shops have similar average delivery times. - However, Shop 1's delivery times are more consistent compared to Shop 2's more varied delivery times. **Choice:** - Choose the first shop because its lower standard deviation means more reliable delivery times.

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The Deep Dive

The data indicates that the first pizza shop has a mean delivery time of 46 minutes with a standard deviation of 5 minutes, meaning it consistently delivers near that average time. In contrast, the second pizza shop’s mean delivery time is shorter at 42 minutes, but its standard deviation of 21 minutes reveals that delivery times are much more variable and unpredictable. Thus, the variance in delivery times is significantly greater for the second shop than for the first. If you liked the pizzas from both shops equally well, you would want a more reliable delivery time. In this case, you should choose the first shop (Option B). Despite the longer average delivery time, its lower standard deviation indicates more consistency, meaning you can expect your pizza to arrive closer to 46 minutes rather than facing surprises from the longer and more varied times of the second shop.

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