For this data set, assume it comes from a standard normal distribution. The average electricity bill is $110 & the standard deviation is 84.14563

a. State the null and alternate hypotheses

b. At a significance level of 0.01, do we accept or reject the null? Why? Use both p-value and critical value approach to explain why we accept or reject the null.

c. Could this be a Type I or Type II error and why?

DATA SET:

Hospital Room Size (square footage)	Electricity Bill
3117	186.435
1086	74.73
4276	250.18
4019	236.045
857	62.135
3114	186.27
1132	77.26
3427	203.485
690	52.95
4806	279.33
4052	234.86
173	21.515
1948	119.14
209	23.495
1175	76.625
3223	189.265
3950	229.25
4778	274.79
3089	181.895
1524	95.82
4082	236.51
276	36.18
478	47.29
1482	102.51
3933	237.315
1533	105.315
4095	246.225
4791	284.505
2893	180.115
1950	128.25
2263	145.465
4344	259.92
2805	175.275
4329	123.225
896	37.4
4671	131.775
146	18.65
1910	89
622	30.55
1422	50.55
2241	71.025
564	29.1
2972	89.3
123	18.075
2740	83.5
1342	48.55
246	21.15
1213	45.325
3558	103.95
2782	84.55