statistically significant difference

Question

hello , I am stuck in this question and I don't know how to do it exactly:

Harvard conduct a study on the lifestyle of their students. They want to

know about the average weekly hours of physical exercise of their students. From

a sample of 30 students from Computer Science, they obtain a sample mean of

𝑥̅ = 1.5 hours of exercise per week, with a sample standard deviation of 𝑠 =

0.1. From a sample of 30 students from Biology, they obtain a mean of 𝑥̅ =

1.6, with a sample standard deviation of 𝑠 = 0.15.

a) Identify and apply a suitable two-sample, two-sided test to establish

whether there is a statistically significant difference between the mean

weekly exercise hours of Computer Science and Biology students. Consider

a significance level of 𝛼 = 0.05

I think i need to use degree of freedom to get this but i don't know how to start

Answer 1

This is a two-independent sample t-test for the difference of two means.

The degrees of freedom for each the two samples is the sample size minus 1 or 29.

If you can assume equal variances the degrees of freedom for determining the critical t-value or p-value would be 58, otherwise, it would be 29.