statistics

Ex 1 and 2

	N of observation	Package size in grams
	1	984
	2	1037
	3	1017			Exercise 1	(30 points)
	4	1012			You are producing cornflakes and there is a new law that requires you to publish on the package 99% confidence interval for the weight of the cornflakes pack.
	5	1012			Assume that population standard deviation (aka sigma) is known and equal to 25 grams.
	6	1041			Construct 99% confidence interval and briefly interpret it with 1-2 sentences.
	7	980
	8	1028			Exercise 2	(30 points)
	9	960			You are producing cornflakes and there is a new law that requires you to publish on the package 99% confidence interval for the weight of the cornflakes pack.
	10	1032			Assume that population standard deviation is not known and you need to estimate it using the sample data.
	11	981			Construct 95% confidence interval and briefly interpret it with 1-2 sentences
	12	982
	13	1016
	14	972
	15	982
	16	986
	17	1018
	18	1047
	19	964
	20	969
	21	972
	22	1018
	23	1005
	24	969
	25	975
	26	1004
	27	987
	28	1026
	29	966
	30	952
	31	1009
	32	997
	33	974
	34	959
	35	1001
	36	1012
	37	1039
	38	1037
	39	993
	40	964
	41	951
	42	987
	43	977
	44	961
	45	1029
	46	1015
	47	954
	48	1004
	49	985
	50	1035
	51	978
	52	1008
	53	1026
	54	1042
	55	980
	56	1049
	57	1025
	58	1029
	59	1007
	60	1048
	61	979
	62	968
	63	973
	64	1020
	65	976
	66	1013
	67	1009
	68	968
	69	1033
	70	970
	71	954
	72	1011
	73	952
	74	1026
	75	1027
	76	1002
	77	1004
	78	963
	79	1034
	80	1034
	81	957
	82	1013
	83	965
	84	954
	85	976
	86	950
	87	951
	88	996
	89	1037
	90	996
	91	1041
	92	951
	93	998
	94	1036
	95	1041
	96	1050
	97	996
	98	1039
	99	1000
	100	959

Ex 3

	N of observation	Price per liter of gasoline, EUR
	1	1.8
	2	1.66			Exercise 3	(40 points)
	3	1.73			The prime minister of one european country said that the average gasoline price in his country is 1.7 EUR.
	4	1.76			His opponents claim that the true (population) gasoline price is higher than 1.7 EUR due to elevated inflation.
	5	1.82			Assume the population standard deviation is known and it is 0.06 EUR.
	6	1.78			Test the null hypothesis that the population average (mu) gasoline price is 1.7
	7	1.7			against one-sided alternative that population average gasoline price is bigger than 1.7 EUR.
	8	1.75			Use alpha=0.01 and critical value approach.
	9	1.82			Interpret the result in 1-2 sentences.
	10	1.83
	11	1.82
	12	1.85
	13	1.78
	14	1.68
	15	1.82
	16	1.71
	17	1.82
	18	1.67
	19	1.8
	20	1.74
	21	1.69
	22	1.65
	23	1.77
	24	1.74
	25	1.78
	26	1.67
	27	1.76
	28	1.8
	29	1.78
	30	1.74
	31	1.69
	32	1.83
	33	1.72
	34	1.76
	35	1.82
	36	1.74