In September 2000, each student in a random sample of 100chemistry majors at a large university was asked in how many labclasses he or she was enrolled. The results indicated a mean of1.65 lab classes and a standard deviation of 1.39. To determinewhether the distribution changed over the past 10 years, a similarsurvey was conducted in September 2010 by selecting a random sampleof 100 chemistry majors. The results indicated a sample mean of1.82 and a standard deviation of 1.51. Do the data provide evidencethat the mean number of lab classes taken by chemistry majors inSeptember 2000 is different from the mean number of lab classestaken in 2010? Perform an appropriate statistical test using α =0.02. (10 points)SHOW ALL WORK.