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A statistics teacher wants to see if there is a difference in the mean time needed to wait for an Uber ride in two different metropolitan areas.

Twenty-five randomly selected times are accessed during the day for each area. The mean time waiting for an Uber in the first area is $8.3\text{ minutes}$ with a standard deviation of $1.1\text{ minutes}$, followed by the second area having a mean Uber wait time of $8.9\text{ minutes}$ with a standard deviation of $1.3\text{ minutes}$.

Assuming the conditions for inference are met, which of the following statements is true?

A

The p-value is less than $0.01$; there is a significant difference in mean waiting times for Uber rides in the two different metropolitan areas at the $1$% significance level.

B

The p-value is less than $0.05$; there is a significant difference in mean waiting times for Uber rides in the two different metropolitan areas at the $5$% significance level.

C

The p-value is greater than $0.05$; the mean waiting times for the Uber rides in the two different metropolitan areas are the same at the $5$% significance level.

D

The p-value is less than $0.10$; there is a significant difference in mean waiting times for Uber rides in the two different metropolitan areas at the $10$% significance level.

E

The p-value is greater than $0.10$; the mean waiting times for the Uber rides in the two different metropolitan areas are the same at the $10$% significance level.

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