FIREFLIES (6 pts)
       Your hard work buildingthe fancy fire pit you saw on Pinterest has really paid off! Nowevery weekend evening in the summer your neighbors and their kidscome over to enjoy conversation, games, and cool beverages with youand your family. One especially cunning parent has managed toconvince the neighborhood children to put down their tablets andphones and play by catching (and sometimes releasing) fireflies.You make a game out of it by seeing how many they can catch every15 minutes. Throughout the course of a long evening you collect thedata below, which shows how many fireflies the kids catch every 15minutes. Assuming this data comes from a normally distributedpopulation – can you conclude that the average number of firefliescaught after 10pm was greater than the average caught before 10pm?Use α = 0.05.
Before 10pm | After 10pm |
8:00 | 8:15 | 8:30 | 8:45 | 10:00 | 10:15 | 10:30 | 10:45 |
6 | 8 | 12 | 9 | 15 | 12 | 9 | 14 |
9:00 | 9:15 | 9:30 | 9:45 | 11:00 | 11:15 | 11:30 | 11:45 |
8 | 13 | 11 | 10 | 10 | 12 | 8 | 10 |
Step 1) What type of hypothesis testis required here?                                                                                           Â
How would you run this test in MINITAB(Menus, Functions used)?                                                         Â
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Is this a left-tailed, right-tailed, or two-tailedtest?                                                                                         Â
Step 2) Verify all assumptions required for thistest:Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
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Step 3) State the null and alternate hypotheses for this test:(use correct symbols and format!)
                  Nullhypothesis                                                                                                                                              Â
                  Alternate hypothesis                                                                                                                                   Â
Step 4) Run the correct test inMINITAB and provide the information below. Use correct symbols andround answers to 3 decimal places.
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TestStatistic                     =                                         Degrees of freedom                     =                         Â
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Critical Value                   =                                         p-value                                              =                         Â
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Step 5) State your statistical decision (and justifyit!)Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
                                                                                                                                                                                                               Step 6) Interpret your decision within the context of the problem:what is your conclusion?
