4. (15 points) The dean of a college wishes to determine whether the actual number of hours students spend studying for their final exam follows teacher perception. A group of teachers were asked what they expected the distribution of the number of hours studied by a sample of 150 students is, with the results shown in the given table. Additionally, a random sample of 150 students yielded an actual (observed) distribution of hours studied and is also displayed in the table. m_ m 2 7 4 8 49 6 0 19 8 16 8+ 7 At the 1% significance level, test the claim that the actual distribution of hours studied is different than teacher perception