write a formal analysis of the following argument. Then indicate whether the argument is deductive or inductive.PROBLEM: “the bad food in the dining commons can be attributed to the new cook. This is because the food started tasting bad as soon as the new cook arrived and nothing else changed. He’s not very friendly either.”EXAMPLE: I’ve been trying to figure out why I do well on some of my exams and not well on others, and I think that I’ve found the cause. Over the last year, each time I did well on a test, I had gotten plenty of sleep the night before. Since a good night’s sleep was the only thing the good performances had in common, it is likely that getting a good night’s sleep helped me on my test.PREMISES 1: I’ve been trying to figure out why I do well on some of my exams and not well on others.PREMISE 2: I think that I’ve found the cause, last year I did well on a test every time I got plenty of sleep.PREMISE 3: A good night’s sleep was the only thing good performances had in common.Conclusion: getting a good night’s sleep helped me on my test.Issue: whether a plenty of sleep before a test will help pass it.This is an example of Inductive argument because the word likely indicates that a conclusion probably follows from the premises. The conclusion is a projection based on the premises.