Ahlana is investigating to see if high school boy athletes spend more time playing sports per week than high school girl athletes. She takes a simple random sample of 11 high school boys and finds they have a mean of 20 hours spent playing sports with a sample standard deviation of 1 hour. She also takes a simple random sample of 9 high school girls and finds they have a mean of 18 hours spent playing sports with a sample standard deviation of 2.5 hours. Ahlana conducted a two-sample, one-tailed hypothesis test with null hypothesis and alternative hypothesis. She found a test statistic of t=−3.20. Using the conservative degrees of freedom, look up the critical t-value with an alpha level of 0.05 and compare this to Ahlana's test statistic to determine what her conclusion should be based on these sample results.

A) With a critical t-value of tcritical​=−2.262, there is sufficient evidence to reject the claim that the two populations have the same mean.
B) With a critical t-value of tcritical​=−2.262, there is not sufficient evidence to reject the claim that the two populations have the same mean.
C) With a critical t-value of tcritical​=−1.833, there is sufficient evidence to reject the claim that the two populations have the same mean.
D) With a critical t-value of tcritical​=−1.833, there is not sufficient evidence to reject the claim that the two populations have the same mean.