Answer:
The null hypothesis is rejected
Therefore there is sufficient evidence to conclude that the professors teaching method favored the male
Explanation:
From the question we are told that
The sample size for each population is

The first sample mean is

The second sample mean is

The first standard deviation is
The second standard deviation is

The level of significance is

The null hypothesis is

The alternative hypothesis is

Generally the standard error is mathematically represented as

=>

=>

Generally the test statistics is mathematically represented as

=>

=> t = 2.83
Generally the p-value mathematically represented as

From the z table

So


Since

Hence the null hypothesis is rejected
Therefore there is sufficient evidence to conclude that the professors teaching method favored the male