Is this the correct formula to calculate the test statistic and how would I find the P-Value?

2. An administrator at Wudmoor College believes that the number of units completed by students at his college is less dispersed than it is at Statsville College. Recent data suggest that the mean number of units completed by all Statsville College students is 43.5 units with a standard deviation of 17.9 units. The administrator studied a random sample 57 students at Wudmoor college and found that the students in the sample completed an average of 42.0 units with a standard deviation of 15.1 units. At the 0.10 level of significance, test the administrator's claim. (13 pts total) a. State the null and alternative hypotheses for this test. (3 pts) Ho . 51 = 02 sted how woy load HI : 01 2 5 2 zinsbuie . b. Use the appropriate formula to calculate the test statistic. (3 pts) spellOD (n- 1)3 2 = (57 - 1 ) 15.12 rey as to = 39.8507 Insmepansm 17 . 9 2 DEREM c. Use your calculator to find the P-value. ( 1 pt) d. Compare the P-value to the significance level. (2 pts) 0. 10 significance level e. Decide whether to reject the null hypothesis and briefly explain why. (2 pts) f. Using a complete sentence, write a brief conclusion. (2 pts)