A consumer group is interested in testing an automobile manufacturer's claim that five of its latest models will consume at least 49 miles per gallon. A sample of 53 of each of the five different models was taken. If this claim is valid for any of the five models, it will receive an Eco-friendly certification. Use a 10% level of significance.

a) Provide preliminary observations.

	A	B	C	D	E
Mean	47,664	47,094	48,050	50,361	45,332
Standard Error	1,421	1,398	1,525	1,327	1,637
Standard Deviation	10,344	10,178	11,103	9,659	11,918
Sample Variance	106,990	103,591	123,287	93,299	142,041
Range	44,966	41,857	42,459	41,546	52,425
Minimum	27,280	26,018	28,220	31,018	15,663
Maximum	72,247	67,875	70,679	72,563	68,088
Count	53,000	53,000	53,000	53,000	53,000

b) Provide an interpetation.

Margin of error(90,0%)	2,3794	2,3413	2,5542	2,2219	2,7416
Upper limit	50,0437	49,4350	50,6043	52,5833	48,0738
Lower limit	45,2849	44,7524	45,4959	48,1394	42,5906

c) Formulate an appropriate test and explain why your test formulation is correct.

d) State your test statistics and p-values.

test-stat	-0,9400802	-2,0788143	-1,9341363	-1,235032	-4,6838494
LT	0,17576152	0,02129237	0,02927335	0,11118499	1,0298E-05
UT	0,82423848	0,97870763	0,97072665	0,88881501	0,9999897
2T	0,35152303	0,04258474	0,0585467	0,22236999	2,0595E-05

e) State your conclusion and interpretation.

f) In the context of this case, what would it mean to commit a Type I error? What would it mean to commit a Type II error?