Test the mean cholesterol content in the egg is greater than 2.5 percent

A certain brand of eggs claims that the eggs have reduced cholesterol content, with an average of only 2.5 percent cholesterol. A concerned health group wants to test whether the claim is true. The group believes that more cholesterol may be found, on the average in the eggs.  A random sample of 100 eggs reveals a sample average content of 5.2 percent cholesterol and a sample standard deviation of 2.8 percent.

1. Is there strong evidence to Reject the null hypothesis that the brand of eggs is telling the truth?

2. Conduct a hypothesis test using a significance level of 0.10.

3. What is the P value?