In: Statistics and Probability
Use Tornadoes data and your statistical expertise to answer the questions: Is it reasonable to claim that on average October has less than four tornado-related deaths (per year)?
9. What test/procedure did you perform?
a. One-sided t-test
b. Two-sided t-test
c. Regression
d. Confidence interval
10. What is the P-value/margin of error?
a. 0.723595771
b. 1.8
c. 3.684118249
d. 1.10683165
e. None of these
11. Statistical Interpretation
a. Since the confidence interval of 3.68411 is below 4, we are confident that the number of tornado-related deaths is below 4.
b. Since the P-value is not small, we cannot claim that the number of tornado-related deaths is below 4.
c. Since confidence interval is above 4, we cannot claim that the number of tornado-related deaths is below 4.
d. None of these
12. Conclusion
a. Yes, I am confident that the above assertion is reasonable.
b. No, we cannot claim that the above assertion is reasonable.
Tornadoes and Deaths by Year and Month (1950-1994) | ||||||||||||||||||||||||||
Year | Total Tornadoes | Tornadoes by Month | Total Deaths | Deaths by Month | ||||||||||||||||||||||
Jan | Feb | Mar | Apr | May | June | July | Aug | Sept | Oct | Nov | Dec | Jan | Feb | Mar | Apr | May | June | July | Aug | Sept | Oct | Nov | Dec | |||
1950 | 201 | 7 | 20 | 21 | 15 | 61 | 28 | 23 | 13 | 3 | 2 | 4 | 4 | 70 | 1 | 45 | 1 | 12 | 2 | 6 | 0 | 0 | 0 | 0 | 0 | 3 |
1951 | 260 | 2 | 10 | 6 | 26 | 57 | 76 | 23 | 27 | 9 | 2 | 12 | 10 | 34 | 0 | 1 | 0 | 2 | 7 | 9 | 5 | 0 | 8 | 0 | 1 | 1 |
1952 | 240 | 12 | 27 | 43 | 37 | 34 | 34 | 27 | 16 | 1 | 0 | 6 | 3 | 230 | 0 | 10 | 209 | 4 | 2 | 2 | 2 | 1 | 0 | 0 | 0 | 0 |
1953 | 422 | 14 | 16 | 40 | 47 | 94 | 111 | 32 | 24 | 5 | 6 | 12 | 21 | 519 | 0 | 3 | 24 | 36 | 163 | 244 | 0 | 0 | 0 | 0 | 0 | 49 |
1954 | 550 | 2 | 17 | 62 | 113 | 101 | 107 | 45 | 49 | 21 | 14 | 2 | 17 | 36 | 0 | 2 | 10 | 2 | 9 | 5 | 0 | 1 | 3 | 2 | 0 | 2 |
1955 | 593 | 3 | 4 | 43 | 99 | 148 | 153 | 49 | 33 | 15 | 23 | 20 | 3 | 129 | 0 | 0 | 5 | 7 | 106 | 2 | 5 | 0 | 2 | 1 | 1 | 0 |
1956 | 504 | 2 | 47 | 31 | 85 | 79 | 65 | 92 | 42 | 16 | 29 | 7 | 9 | 83 | 0 | 8 | 1 | 67 | 4 | 0 | 1 | 2 | 0 | 0 | 0 | 0 |
1957 | 858 | 17 | 5 | 38 | 216 | 228 | 147 | 55 | 20 | 17 | 18 | 59 | 38 | 193 | 13 | 0 | 1 | 30 | 87 | 14 | 0 | 0 | 2 | 2 | 25 | 19 |
1958 | 564 | 11 | 20 | 15 | 76 | 68 | 128 | 121 | 46 | 24 | 9 | 45 | 1 | 67 | 0 | 13 | 0 | 4 | 0 | 43 | 1 | 1 | 1 | 4 | 0 | 0 |
1959 | 604 | 16 | 20 | 43 | 30 | 226 | 73 | 63 | 38 | 58 | 24 | 11 | 2 | 58 | 3 | 21 | 9 | 1 | 8 | 2 | 0 | 0 | 14 | 0 | 0 | 0 |
1960 | 616 | 9 | 28 | 28 | 70 | 201 | 125 | 42 | 48 | 21 | 18 | 25 | 1 | 46 | 0 | 0 | 0 | 7 | 34 | 3 | 0 | 1 | 0 | 1 | 0 | 0 |
1961 | 697 | 1 | 31 | 124 | 74 | 137 | 107 | 77 | 27 | 53 | 14 | 36 | 16 | 52 | 0 | 0 | 7 | 4 | 23 | 2 | 0 | 0 | 15 | 0 | 1 | 0 |
1962 | 657 | 12 | 25 | 37 | 41 | 200 | 171 | 78 | 51 | 24 | 11 | 5 | 2 | 30 | 1 | 0 | 17 | 2 | 4 | 0 | 0 | 6 | 0 | 0 | 0 | 0 |
1963 | 463 | 15 | 6 | 48 | 84 | 71 | 90 | 62 | 26 | 33 | 13 | 15 | 0 | 31 | 1 | 0 | 8 | 16 | 1 | 0 | 0 | 2 | 3 | 0 | 0 | 0 |
1964 | 704 | 14 | 2 | 36 | 157 | 134 | 137 | 63 | 79 | 25 | 22 | 17 | 18 | 73 | 10 | 0 | 6 | 15 | 16 | 0 | 0 | 2 | 0 | 22 | 0 | 2 |
1965 | 897 | 21 | 32 | 34 | 123 | 273 | 147 | 85 | 61 | 64 | 16 | 34 | 7 | 301 | 0 | 0 | 2 | 268 | 17 | 7 | 0 | 1 | 0 | 1 | 5 | 0 |
1966 | 585 | 1 | 28 | 12 | 80 | 98 | 126 | 100 | 58 | 22 | 29 | 20 | 11 | 98 | 0 | 0 | 58 | 12 | 0 | 19 | 3 | 0 | 0 | 6 | 0 | 0 |
1967 | 926 | 39 | 8 | 42 | 149 | 116 | 210 | 90 | 28 | 139 | 36 | 8 | 61 | 114 | 7 | 0 | 3 | 73 | 3 | 6 | 1 | 2 | 5 | 4 | 0 | 10 |
1968 | 660 | 5 | 7 | 28 | 102 | 145 | 136 | 56 | 66 | 25 | 14 | 44 | 32 | 131 | 0 | 0 | 0 | 40 | 72 | 11 | 2 | 2 | 0 | 0 | 3 | 1 |
1969 | 608 | 3 | 5 | 8 | 68 | 145 | 137 | 98 | 70 | 20 | 26 | 5 | 23 | 66 | 32 | 0 | 1 | 2 | 4 | 7 | 0 | 19 | 0 | 0 | 0 | 1 |
1970 | 654 | 9 | 16 | 25 | 117 | 88 | 134 | 82 | 55 | 54 | 50 | 10 | 14 | 73 | 0 | 0 | 2 | 30 | 26 | 6 | 3 | 0 | 0 | 6 | 0 | 0 |
1971 | 889 | 19 | 83 | 40 | 75 | 166 | 199 | 100 | 50 | 47 | 38 | 16 | 56 | 159 | 1 | 134 | 2 | 11 | 7 | 1 | 1 | 0 | 0 | 0 | 0 | 2 |
1972 | 741 | 33 | 7 | 69 | 96 | 140 | 114 | 115 | 59 | 49 | 34 | 17 | 8 | 27 | 5 | 0 | 0 | 16 | 0 | 2 | 0 | 2 | 0 | 0 | 2 | 0 |
1973 | 1102 | 33 | 10 | 80 | 150 | 250 | 224 | 80 | 51 | 69 | 25 | 81 | 49 | 89 | 1 | 0 | 17 | 10 | 35 | 3 | 1 | 4 | 3 | 0 | 12 | 3 |
1974 | 945 | 24 | 23 | 36 | 267 | 144 | 194 | 59 | 107 | 25 | 45 | 13 | 8 | 366 | 2 | 0 | 1 | 317 | 10 | 31 | 0 | 0 | 0 | 5 | 0 | 0 |
1975 | 919 | 52 | 45 | 84 | 108 | 188 | 196 | 79 | 60 | 34 | 12 | 39 | 22 | 60 | 12 | 7 | 12 | 13 | 5 | 6 | 2 | 2 | 0 | 0 | 0 | 1 |
1976 | 834 | 12 | 36 | 180 | 113 | 155 | 169 | 84 | 38 | 35 | 11 | 0 | 1 | 44 | 0 | 5 | 21 | 1 | 8 | 3 | 2 | 1 | 3 | 0 | 0 | 0 |
1977 | 852 | 5 | 17 | 64 | 88 | 228 | 132 | 99 | 82 | 65 | 25 | 24 | 23 | 43 | 0 | 2 | 0 | 26 | 4 | 0 | 1 | 6 | 1 | 1 | 0 | 2 |
1978 | 789 | 23 | 7 | 17 | 107 | 213 | 148 | 143 | 65 | 20 | 7 | 9 | 30 | 53 | 2 | 0 | 0 | 4 | 7 | 17 | 11 | 1 | 6 | 0 | 0 | 5 |
1979 | 855 | 16 | 4 | 53 | 123 | 112 | 150 | 132 | 126 | 69 | 47 | 21 | 2 | 84 | 0 | 0 | 1 | 58 | 2 | 8 | 1 | 5 | 2 | 7 | 0 | 0 |
1980 | 866 | 5 | 11 | 41 | 137 | 203 | 217 | 95 | 73 | 37 | 43 | 3 | 1 | 28 | 0 | 0 | 2 | 4 | 8 | 7 | 5 | 0 | 1 | 1 | 0 | 0 |
1981 | 782 | 2 | 25 | 33 | 84 | 187 | 223 | 98 | 64 | 26 | 32 | 7 | 1 | 24 | 0 | 2 | 1 | 13 | 0 | 8 | 0 | 0 | 0 | 0 | 0 | 0 |
1982 | 1047 | 18 | 3 | 60 | 150 | 329 | 196 | 95 | 34 | 38 | 9 | 19 | 96 | 64 | 1 | 0 | 6 | 30 | 14 | 4 | 0 | 0 | 2 | 0 | 0 | 7 |
1983 | 931 | 13 | 41 | 71 | 65 | 249 | 178 | 99 | 76 | 19 | 13 | 49 | 58 | 34 | 2 | 1 | 0 | 6 | 14 | 2 | 4 | 0 | 0 | 0 | 0 | 5 |
1984 | 907 | 1 | 27 | 73 | 176 | 169 | 242 | 72 | 47 | 17 | 49 | 30 | 4 | 122 | 0 | 0 | 64 | 33 | 6 | 14 | 0 | 0 | 0 | 4 | 1 | 0 |
1985 | 684 | 2 | 7 | 38 | 134 | 182 | 82 | 51 | 108 | 40 | 18 | 19 | 3 | 94 | 0 | 0 | 2 | 5 | 78 | 3 | 0 | 3 | 0 | 0 | 3 | 0 |
1986 | 765 | 0 | 30 | 76 | 84 | 173 | 134 | 88 | 67 | 65 | 26 | 17 | 5 | 15 | 0 | 2 | 6 | 2 | 1 | 0 | 3 | 1 | 0 | 0 | 0 | 0 |
1987 | 656 | 6 | 19 | 38 | 20 | 126 | 132 | 163 | 63 | 19 | 1 | 55 | 14 | 59 | 0 | 6 | 1 | 1 | 31 | 2 | 0 | 1 | 0 | 0 | 11 | 6 |
1988 | 702 | 17 | 4 | 28 | 58 | 132 | 63 | 103 | 61 | 76 | 19 | 121 | 20 | 32 | 5 | 0 | 1 | 4 | 3 | 0 | 0 | 3 | 1 | 0 | 14 | 1 |
1989 | 856 | 14 | 18 | 43 | 82 | 231 | 252 | 59 | 36 | 31 | 30 | 57 | 3 | 50 | 0 | 0 | 1 | 0 | 9 | 5 | 0 | 0 | 0 | 4 | 31 | 0 |
1990 | 1133 | 11 | 57 | 86 | 108 | 243 | 329 | 106 | 60 | 45 | 35 | 18 | 35 | 53 | 0 | 1 | 3 | 0 | 5 | 11 | 0 | 29 | 0 | 2 | 0 | 2 |
1991 | 1132 | 29 | 11 | 157 | 204 | 335 | 216 | 64 | 46 | 26 | 21 | 20 | 3 | 39 | 1 | 0 | 13 | 21 | 0 | 1 | 1 | 0 | 0 | 0 | 2 | 0 |
1992 | 1297 | 15 | 29 | 55 | 53 | 137 | 399 | 213 | 115 | 81 | 34 | 146 | 20 | 39 | 0 | 0 | 5 | 0 | 0 | 1 | 0 | 3 | 0 | 4 | 26 | 0 |
1993 | 1173 | 17 | 34 | 48 | 85 | 177 | 313 | 242 | 112 | 65 | 55 | 19 | 6 | 33 | 0 | 3 | 5 | 10 | 2 | 1 | 0 | 6 | 2 | 4 | 0 | 0 |
1994 | 1082 | 13 | 9 | 58 | 205 | 161 | 234 | 155 | 120 | 30 | 51 | 42 | 4 | 69 | 0 | 0 | 40 | 12 | 0 | 3 | 3 | 4 | 0 | 0 | 7 | 0 |