Question
Complete the following hypotheses, using = 0.05 . Use the data at the bottom of the questionfor your source data. Hypothesis: Mean sales per week
Complete the following hypotheses, using = 0.05 . Use the data at the bottom of the questionfor your source data. Hypothesis: Mean sales per week exceed 42.5 per salesperson. Complete the fields of the table below and be sure to add explanations along with the calculations.
- Hypothesis Test 1: Mean Sales per Week
| Hypothesis statement | The mean sales per week exceeds 42.5 per sales person. |
| Null and alternate hypotheses | Ho: Ha: |
| Type of test | Right tail or left tail or two tail. Briefly explain the reason for your answer. |
| Use z or t? | Select z or t and explain your selection. |
| Rejection region | Assume alpha = .05. Where is the rejection region? Format should be something like, for example, z>2.3 |
| Test statistic | Give value of the test statistic |
| p-value | Give value of the p-value |
| Hypothesis test result using p-value | Do we reject or not reject Ho. Why? |
| Hypothesis test result using test statistic | Do we reject or not reject Ho. Why? |
| Do the results support the claim being made? | Avoid statistical jargon, i.e. don't just mention "null hypothesis" or "alternate hypothesis". Restate the claim. State your answer in terms that a business person would understand? Example: "Since we are rejecting Ho, we have support for Ha, which is the martian's claim. Therefore we can support the martian's claim their average height is more than 24 inches". |
| 99% Confidence Interval for the mean | Give the 99% confidence interval for the mean of the variable being tested above. |
| Sales (Y) | Calls (X1) | Time (X2) | Years (X3) | Type |
| 37 | 117 | 14.8 | 0 | GROUP |
| 38 | 117 | 15.3 | 3 | NONE |
| 40 | 117 | 15.6 | 1 | NONE |
| 41 | 117 | 15.8 | 2 | GROUP |
| 37 | 120 | 18.2 | 2 | GROUP |
| 45 | 120 | 13.6 | 1 | GROUP |
| 43 | 131 | 16.8 | 4 | GROUP |
| 34 | 133 | 14.4 | 1 | GROUP |
| 37 | 133 | 15.2 | 2 | GROUP |
| 42 | 135 | 14.8 | 3 | NONE |
| 48 | 136 | 13.7 | 3 | ONLINE |
| 37 | 137 | 16.3 | 2 | GROUP |
| 39 | 138 | 15.5 | 1 | NONE |
| 45 | 138 | 19.3 | 4 | GROUP |
| 44 | 139 | 15.3 | 2 | GROUP |
| 45 | 140 | 13.6 | 1 | GROUP |
| 37 | 142 | 17.1 | 2 | NONE |
| 40 | 144 | 17.4 | 0 | NONE |
| 37 | 145 | 18 | 3 | NONE |
| 38 | 145 | 17.1 | 2 | NONE |
| 43 | 145 | 18.6 | 2 | NONE |
| 46 | 145 | 16.8 | 0 | ONLINE |
| 45 | 146 | 12 | 3 | GROUP |
| 37 | 148 | 15.7 | 3 | GROUP |
| 37 | 148 | 16.2 | 1 | GROUP |
| 42 | 148 | 16.9 | 1 | NONE |
| 43 | 148 | 15.9 | 1 | ONLINE |
| 43 | 148 | 14.5 | 4 | ONLINE |
| 44 | 148 | 13.5 | 3 | GROUP |
| 46 | 148 | 13.1 | 1 | GROUP |
| 39 | 149 | 18.8 | 1 | GROUP |
| 46 | 149 | 17.8 | 3 | NONE |
| 49 | 149 | 21.1 | 2 | GROUP |
| 40 | 150 | 10.8 | 1 | GROUP |
| 44 | 150 | 18.4 | 1 | NONE |
| 46 | 151 | 16 | 1 | GROUP |
| 37 | 152 | 19.8 | 0 | GROUP |
| 49 | 152 | 22.3 | 0 | ONLINE |
| 41 | 153 | 14.7 | 1 | GROUP |
| 42 | 153 | 15.5 | 2 | GROUP |
| 43 | 153 | 15.2 | 3 | GROUP |
| 46 | 153 | 14.1 | 1 | ONLINE |
| 42 | 154 | 14.8 | 2 | ONLINE |
| 41 | 155 | 13.6 | 3 | GROUP |
| 45 | 155 | 18.9 | 2 | GROUP |
| 39 | 156 | 13.3 | 4 | NONE |
| 48 | 156 | 15.1 | 4 | ONLINE |
| 41 | 157 | 11.5 | 3 | ONLINE |
| 47 | 157 | 14.3 | 1 | GROUP |
| 41 | 158 | 19.3 | 2 | ONLINE |
| 45 | 158 | 13.9 | 1 | ONLINE |
| 44 | 159 | 18.1 | 2 | ONLINE |
| 42 | 160 | 10.6 | 3 | NONE |
| 49 | 160 | 13.6 | 3 | GROUP |
| 49 | 161 | 16.1 | 3 | NONE |
| 46 | 162 | 16.2 | 2 | ONLINE |
| 46 | 162 | 12.1 | 1 | GROUP |
| 45 | 164 | 16.7 | 3 | NONE |
| 47 | 164 | 15.3 | 0 | ONLINE |
| 48 | 165 | 19.8 | 5 | ONLINE |
| 43 | 166 | 17.6 | 3 | ONLINE |
| 49 | 166 | 16.2 | 0 | ONLINE |
| 42 | 167 | 17.7 | 3 | ONLINE |
| 42 | 167 | 18 | 2 | NONE |
| 50 | 167 | 12.6 | 5 | ONLINE |
| 50 | 167 | 16.2 | 1 | ONLINE |
| 43 | 169 | 13.3 | 4 | NONE |
| 44 | 169 | 8.9 | 0 | ONLINE |
| 44 | 169 | 13.6 | 1 | ONLINE |
| 44 | 171 | 13.6 | 3 | GROUP |
| 48 | 171 | 13 | 2 | GROUP |
| 46 | 172 | 12.5 | 1 | ONLINE |
| 43 | 173 | 19.8 | 2 | ONLINE |
| 45 | 173 | 17.6 | 2 | ONLINE |
| 51 | 173 | 18.6 | 0 | ONLINE |
| 48 | 174 | 18.6 | 2 | GROUP |
| 57 | 174 | 10.8 | 2 | NONE |
| 48 | 175 | 13.7 | 1 | ONLINE |
| 47 | 176 | 14.1 | 2 | ONLINE |
| 45 | 177 | 14.2 | 2 | GROUP |
| 48 | 177 | 13.9 | 3 | ONLINE |
| 50 | 177 | 11.4 | 4 | NONE |
| 52 | 177 | 14.5 | 1 | ONLINE |
| 53 | 178 | 13.2 | 2 | ONLINE |
| 54 | 180 | 11.8 | 4 | GROUP |
| 44 | 182 | 15.5 | 4 | NONE |
| 53 | 182 | 10.5 | 1 | ONLINE |
| 47 | 183 | 12.8 | 2 | ONLINE |
| 49 | 184 | 16.7 | 2 | ONLINE |
| 50 | 184 | 15.6 | 2 | ONLINE |
| 53 | 184 | 15.2 | 0 | ONLINE |
| 45 | 185 | 13.3 | 1 | ONLINE |
| 44 | 188 | 12.9 | 3 | GROUP |
| 47 | 120 | 16.3 | 1 | NONE |
| 49 | 188 | 20.4 | 1 | NONE |
| 58 | 189 | 12 | 1 | ONLINE |
| 50 | 190 | 11.3 | 1 | ONLINE |
| 47 | 193 | 13.5 | 2 | ONLINE |
| 50 | 197 | 14 | 2 | ONLINE |
| 58 | 197 | 11.8 | 1 | ONLINE |
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Calculus
Authors: Laura Taalman, Peter Kohn
1st Edition
1464153035, 9781464153037
