statistics assignment
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 Read More …