A professor believes that the final examination scores in statistics are normally distributed. A sample of 40 final scores has been taken. You are given the sample below. The mean of the scores is 83.1 and the standard deviation is 10.38.

56	63	65	68	72	72	73	75	77	78
78	79	80	80	80	80	80	80	81	81
82	84	84	86	86	87	88	90	90	92
92	93	93	94	95	96	97	98	100	100

a.	State the null and alternative hypotheses.
b.	Compute the test statistic for the goodness of fit test.
c.	At the 1% level using the p-value approach, test the hypotheses. What do you conclude about the distribution of final examination scores?