10.29 In a study on the exercise habits of two groups of nonbinary individuals, A and B, a random sample of 36 people from group A indicated an average of 10.25 hours weekly exercise with a standard deviation of 2.25 hours.

While a random sample of 42 people from group B indicated an average of 9.5 hours weekly exercise with a standard deviation of 1.82 hours. Find the lowest level of significance at which the null hypothesis of equality of the two population means can be rejected against a two-sided alternative.