Question

FIREFLIES (6 pts)

        Your hard work building the fancy fire pit you saw on Pinterest has really paid off! Now every weekend evening in the summer your neighbors and their kids come over to enjoy conversation, games, and cool beverages with you and your family. One especially cunning parent has managed to convince the neighborhood children to put down their tablets and phones and play by catching (and sometimes releasing) fireflies. You make a game out of it by seeing how many they can catch every 15 minutes. Throughout the course of a long evening you collect the data below, which shows how many fireflies the kids catch every 15 minutes. Assuming this data comes from a normally distributed population – can you conclude that the average number of fireflies caught 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 test is required here?                                                                                             

How would you run this test in MINITAB (Menus, Functions used)?                                                           

                                                                                                                          

Is this a left-tailed, right-tailed, or two-tailed test?                                                                                           

Step 2) Verify all assumptions required for this test:                                                                                                       

                                                                                                                                                                                                               

Step 3) State the null and alternate hypotheses for this test: (use correct symbols and format!)

                   Null hypothesis                                                                                                                                                

                   Alternate hypothesis                                                                                                                                     

Step 4) Run the correct test in MINITAB and provide the information below. Use correct symbols and round answers to 3 decimal places.

               

Test Statistic                       =                                            Degrees of freedom                       =                           

               

Critical Value                     =                                            p-value                                                 =                           

               

Step 5) State your statistical decision (and justify it!)                                                                                                      

                                                                                                                                                                                                                 Step 6) Interpret your decision within the context of the problem: what is your conclusion?

Answer 1