In: Statistics and Probability
In September 2000, each student in a random sample of 100 chemistry majors at a large university was asked in how many lab classes he or she was enrolled. The results indicated a mean of 1.65 lab classes and a standard deviation of 1.39. To determine whether the distribution changed over the past 10 years, a similar survey was conducted in September 2010 by selecting a random sample of 100 chemistry majors. The results indicated a sample mean of 1.82 and a standard deviation of 1.51. Do the data provide evidence that the mean number of lab classes taken by chemistry majors in September 2000 is different from the mean number of lab classes taken in 2010? Perform an appropriate statistical test using α = 0.02. (10 points)SHOW ALL WORK.