In: Statistics and Probability
A movie theater company wants to see if there is a difference in the average movie ticket sales in San Diego and Portland per week. They sample 20 sales from San Diego and 20 sales from Portland over a week. Test the claim using a 5% level of significance. Assume the variances are unequal and that movie sales are normally distributed.
San Diego |
Portland |
234 |
211 |
221 |
214 |
202 |
228 |
214 |
222 |
228 |
218 |
244 |
216 |
182 |
222 |
245 |
220 |
215 |
228 |
233 |
224 |
227 |
234 |
217 |
219 |
219 |
226 |
234 |
226 |
255 |
219 |
235 |
228 |
211 |
212 |
248 |
216 |
232 |
217 |
233 |
214 |
Choose the correct decision and summary based on the p-value.
Do not reject H0. There is evidence that the average movie ticket sales in San Diego and Portland per week differ.
Reject H0. There is no evidence that the average movie ticket sales in San Diego and Portland per week differ.
Reject H0. There is evidence that the average movie ticket sales in San Diego and Portland per week differ.
Do not reject H0. There is no evidence that the average movie ticket sales in San Diego and Portland per week differ.