A company offers its employees a free physical each year. The blood cholesterol level for women aged 30 to 39 has a standard deviation is 38 mg/dL.

The blood cholesterol level for men aged 30 to 39 has a standard deviation of 29 mg/dL.

Before the samples were taken, the company chose an alpha of 0.05.

A sample of 45 women aged 30 to 39 had a mean cholesterol level of 224 mg/dL.

A sample of 32 men aged 30 to 39 had a mean cholesterol level of 210 mg/dL.

Find the probability of observing these sample means if the population means are the same. If your alpha is 0.05, what will you conclude?

Fail to reject the null hypothesis, which states that the population means are equal.
Reject the null hypothesis, which states that the population means are equal.
You do not know enough to accept or reject the null hypothesis.
In this situation, an ethical researcher will change the alpha so that the null hypothesis can be rejected.