You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. You sample 30 night students, and the sample mean GPA is 2.35 with a standard deviation of 0.46. You sample 25 day students, and the sample mean GPA is 2.58 with a standard deviation of 0.47. Test the claim using a 5% level of significance. Assume the sample standard deviations are unequal and that GPAs are normally distributed.

Hypotheses:

H₀: ₁ = ₂

H₁: _{1 2}

What is the p-value for this scenario? Round to four decimal places. Make sure you put the 0 in front of the decimal.

p-value =___