When honeybees are looking for a new home, they send out scouts to explore options. When a scout returns, she does a "waggle dance with multiple circuit repetitions to tell the swarm about the option she found.¹ The bees then decide between the options and pick the best one. Scientists wanted to find out how honeybees decide which is the best option, so they took a swarm of honeybees to an island with only two possible options for new homes: one of very high honeybee quality and one of low quality. They then kept track of the scouts who visited each option and counted the number of waggle dance circuits (HoneybeeCircuits) each scout bee did when describing the option.2 Comparative dotplots of number of circuits performed by the 41 bees that visited the high-quality option and the 37 bees that visited the low-quality option are shown in the figure below. Y ub

A psychology lab doing research in dreams has 4 rooms (1,2,3, and 4), each containing 2 beds (A and B). Three pairs of twins are being studied tonight. Each pair of twins will be assigned to one of the four rooms, and then each twin will be assigned a specific bed in the room. How many ways are there to organize the experiment? (i.e. How many ways are there to assign the 6 subjects to rooms and beds if each pair of twins must share the same room?) 24 8 192 48 12

A bag has 12 different-colored marbles: 4 green, 5 blue, 1 yellow, and 2 orange. You draw a marble from the bag. If you get an orange marble or yellow marble, you win a prize. Based on the scenario, answer the following question: Is it more likely that players will win or lose playing the game?

A computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. Assembly times can vary considerably from worker to worker, and the company decides to eliminate this effect by selecting 8 workers at random and timing each worker on each assembly process. Half of the workers are chosen at random to use Process 1 first, and the rest use Process 2 first. For each worker and each process, the assembly time (in minutes) is recorded, as shown in the table below. Worker 1 2 3 4 5 6 7 8 Process 1 64 65 32 76 76 90 75 71 Process 2 62 73 9 61 53 93 77 77 52 Difference 2 -8 23 15 23 (Process 1 - Process 2) 33 -3 -2 19 Send data to calculator Based on these data, can the company conclude, at the 0.05 level of significance, that the mean assembly times for the two processes differ? Answer this question by performing a hypothesis test regarding Hd (which is μ with a letter "d" subscript), the population mean difference in assembly times for the two processes.…