Q3

Specify null and alternative hypotheses (total three sets)

Run two-way ANOVA to test hypotheses.

State your statistical conclusion

If you find the interaction effect significant (i.e., reject the null), run simple main effect tests for both factors. Briefly discuss your findings.

A 1 customer type 2 1 to 5 years 3 Over 5 years 4 Over 5 years 5 6 Less than 1 year 1 to 5 years Less than 1 year 7 8 Less than 1 year 9 1 to 5 years 10 1 to 5 years 11 Less than 1 year 12 Over 5 years 13 Less than 1 year 14 Less than 1 year 15 Over 5 years 16 1 to 5 years 17 Over 5 years 18 1 to 5 years 19 1 to 5 years 20 1 to 5 years 21 Over 5 years 22 Less than 1 year 23 Over 5 years 24 1 to 5 years 25 Over 5 years 26 Less than 1 year 27 1 to 5 years 28 Over 5 years 29 Less than 1 year Over 5 years 30 31 Less than 1 year 32 Less than 1 year 33 Less than 1 year 34 Less than 1 year 35 1 to 5 years 36 Less than 1 year 37 Less than 1 year 38 1 to 5 years 39 Over 5 years 40 1 to 5 years 41 Less than 1 year 42 1 to 5 years B firm size Large (500+) Small (0 to 499) Large (500+) Large (500+) Large (500+) Small (0 to 499) Large (500+) Large (500+) Large (500+) Large (500+) Large (500+) Large (500+) Small (0 to 499) Small (0 to 499) Large (500+) Small (0 to 499) Small (0 to 499) Large (500+) Large (500+) Large (500+) Small (0 to 499) Large (500+) Small (0 to 499) Large (500+) Small (0 to 499) Large (500+) Small (0 to 499) Small (0 to 499) Small (0 to 499) Large (500+) Small (0 to 499) Large (500+) Large (500+) Large (500+) Large (500+) Small (0 to 499) Small (0 to 499) Large (500+) Large (500+) Small (0 to 499) Large (500+) C product quality 8.5 8.2 9.2 6.4 9.0 6.5 6.9 6.2 5.8 6.4 8.7 6.1 9.5 9.2 6.3 8.7 5.7 5.9 5.6 9.1 5.2 9.6 8.6 9.3 6.0 6.4 8.5 7.0 8.5 7.6 6.9 8.1 6.7 8.0 6.7 8.7 9.0 9.6 8.2 6.1 8.3 37 43 1 to 5 years 44 Over 5 years 45 1 to 5 years 46 Over 5 years 47 1 to 5 years 48 Over 5 years 49 1 to 5 years 50 Over 5 years 51 Over 5 years 52 Less than 1 year 53 Over 5 years 54 Over 5 years 55 Less than 1 year 56 1 to 5 years 57 Over 5 years 1 to 5 years 59 Over 5 years 60 Over 5 years 61 Over 5 years 62 Over 5 years 63 1 to 5 years 64 Less than 1 year 65 Less than 1 year 66 Less than 1 year 67 1 to 5 years 68 1 to 5 years 69 1 to 5 years 70 Less than 1 year 71 1 to 5 years 72 Over 5 years 73 Less than 1 year 74 1 to 5 years 75 Over 5 years 76 1 to 5 years 77 Over 5 years 78 Less than 1 year 79 1 to 5 years 80 Over 5 years 81 Less than 1 year 82 Over 5 years 83 Over 5 years 84 1 to 5 years Small (0 to 499) Large (500+) Large (500+) Small (0 to 499) Large (500+) Small (0 to 499) Large (500+) Small (0 to 499) Large (500+) Large (500+) Small (0 to 499) Large (500+) Small (0 to 499) Large (500+) Small (0 to 499) Large (500+) Small (0 to 499) Small (0 to 499) Large (500+) Small (0 to 499) Large (500+) Small (0 to 499) Large (500+) Large (500+) Large (500+) Small (0 to 499) Small (0 to 499) Large (500+) Large (500+) Small (0 to 499) Small (0 to 499) Large (500+) Large (500+) Large (500+) Small (0 to 499) Small (0 to 499) Small (0 to 499) Small (0 to 499) Large (500+) Large (500+) Small (0 to 499) Small (0 to 499) 9.4 9.3 5.1 8.0 5.9 8 5.7 9.9 7.9 6.7 8.2 9.4 6.9 8.0 9.3 7.4 7.6 8 9.9 8.7 8.4 8.8 7.7 6.6 5.7 5.7 5.5 7.5 6.4 OGAN 6 so is in isinisii 9.1 6.7 6.5 9.9 8.5 9.9 7.6 9.4 9.3 7.1 9.9 8.7 8.6 ST Small (0 to 499) 85 Less than 1 year 1 to 5 years 86 Small (0 to 499) 87 Less than 1 year Large (500+) 88 Less than 1 year Small (0 to 499) 89 1 to 5 years Small (0 to 499) 90 1 to 5 years Small (0 to 499) 91 1 to 5 years Small (0 to 499) 92 Over 5 years Small (0 to 499) 93 Less than 1 year Small (0 to 499) 94 Over 5 years Large (500+) 95 Over 5 years Large (500+) 96 Over 5 years Large (500+) 97 Less than 1 year Small (0 to 499) Small (0 to 499) 98 Less than 1 year 99 Less than 1 year Small (0 to 499) 100 1 to 5 years Small (0 to 499) 101 1 to 5 years Large (500+) 102 Less than 1 year Large (500+) 103 Over 5 years Small (0 to 499) 104 1 to 5 years Small (0 to 499) 105 Less than 1 year Large (500+) 106 1 to 5 years Large (500+) 107 1 to 5 years Large (500+) 108 Over 5 years Large (500+) 109 1 to 5 years Large (500+) 110 1 to 5 years Small (0 to 499) 111 Less than 1 year Small (0 to 499) 112 Over 5 years Small (0 to 499) 113 Over 5 years Small (0 to 499) 114 1 to 5 years Large (500+) 115 Over 5 years Large (500+) 116 1 to 5 years Large (500+) 117 1 to 5 years Small (0 to 499) 118 Over 5 years Large (500+) 119 Less than 1 year Large (500+) 120 Less than 1 year Large (500+) 121 Less than 1 year Large (500+) 122 1 to 5 years Large (500+) 123 1 to 5 years Large (500+) 124 Less than 1 year Large (500+) 125 Over 5 years Large (500+) 126 Less than 1 year Large (500+) 6.4 7.7 7.5 5.0 7.7 9.1 5.5 9.1 7.1 9.2 9.3 9.3 8.6 7.4 8.7 7.8 7.9 7.6 9.2 7.7 9.5 6.5 8.3 9.6 5.9 8.7 6.7 9.7 8.8 8.2 8.9 8.4 7.7 9.2 7.3 9.0 8.1 7.4 7.9 7.7 9.4 7.2 54 Small (0 to 499) Small (0 to 499) Large (500+) Large (500+) Small (0 to 499) Small (0 to 499) Small (0 to 499) Small (0 to 499) Large (500+) Large (500+) Small (0 to 499) Small (0 to 499) Small (0 to 499) Large (500+) Small (0 to 499) Large (500+) Large (500+) Large (500+) Small (0 to 499) Small (0 to 499) Small (0 to 499) Small (0 to 499) Small (0 to 499) Large (500+) Large (500+) Small (0 to 499) Large (500+) Small (0 to 499) Small (0 to 499) Large (500+) Small (0 to 499) Large (500+) Small (0 to 499) Small (0 to 499) Small (0 to 499) Small (0 to 499) Large (500+) Small (0 to 499) Small (0 to 499) Small (0 to 499) Small (0 to 499) Large (500+) 127 1 to 5 years 128 Over 5 years 129 Less than 1 year 130 Over 5 years 131 Less than 1 year 132 1 to 5 years 133 Over 5 years 134 Less than 1 year 135 Less than 1 year 136 1 to 5 years 137 Over 5 years 138 Less than 1 year 139 1 to 5 years 140 Less than 1 year 141 Less than 1 year 142 1 to 5 years 143 Over 5 years 144 Over 5 years 145 Over 5 years 146 Over 5 years 147 Over 5 years 148 Less than 1 year 149 Over 5 years 150 1 to 5 years 151 Less than 1 year 152 Over 5 years 153 1 to 5 years 154 Less than 1 year 155 Over 5 years 156 Less than 1 year 157 Over 5 years 158 Less than 1 year 159 Less than 1 year 160 1 to 5 years 161 1 to 5 years 162 Less than 1 year 163 1 to 5 years 164 1 to 5 years 165 1 to 5 years 166 1 to 5 years 167 Less than 1 year 168 Less than 1 year 8.3 7.9 7.3 9.6 8.3 8.6 8.0 6.4 6.6 7.6 9.4 8.3 7.8 7.1 7.6 5.6 9.9 9.2 9.1 9.9 9.9 6.6 9.1 5.1 6.0 8.9 6.2 7.2 8.8 6.3 9.7 5.0 7.4 5.5 9.1 6.7 6.3 8.3 8.2 8.2 9.0 7.1 169 Less than 1 year 170 1 to 5 years 171 Less than 1 year 172 Less than 1 year 173 Over 5 years 174 Over 5 years 175 Less than 1 year 176 Less than 1 year 177 Over 5 years 178 Over 5 years 179 Over 5 years 180 Over 5 years 181 Over 5 years 182 1 to 5 years 183 Over 5 years 184 Over 5 years 185 Over 5 years 186 Over 5 years 187 Over 5 years 188 Less than 1 year 189 Less than 1 year 190 1 to 5 years 191 1 to 5 years 192 Less than 1 year 193 Less than 1 year 194 Less than 1 year 195 Less than 1 year 196 Less than 1 year 197 Over 5 years 198 1 to 5 years 199 Over 5 years 200 1 to 5 years 201 Over 5 years Large (500+) Small (0 to 499) Large (500+) Large (500+) Small (0 to 499) Small (0 to 499) Small (0 to 499) Large (500+) Large (500+) Large (500+) Large (500+) Small (0 to 499) Large (500+) Small (0 to 499) Small (0 to 499) Large (500+) Large (500+) Small (0 to 499) Small (0 to 499) Small (0 to 499) Large (500+) Large (500+) Small (0 to 499) Small (0 to 499) Large (500+) Small (0 to 499) Large (500+) Small (0 to 499) Large (500+) Large (500+) Large (500+) Large (500+) Small (0 to 499) 6.9 8.6 6.7 7.0 9.7 9.9 8.6 6.3 9.9 9.3 9.7 9.7 9.6 7.6 9.4 9.6 9.3 9.7 9.1 6.5 6.6 5.8 8.7 8.8 6.4 6.7 5.2 6.4 7.6 5.9 9.7 5.5 9.7 639 A0