How Unlikely is Paul the Octopus's Success? In the 2010 World Cup, Paul the Octopus (in a German aquarium) became famous for being correct in all eight of the predictions it made, including predicting Spain over Germany in a semi-final match. Before each game, two containers of food (mussels) were lowered into the octopus's tank. The containers were identical, except for country flags of the opposing teams, one on each container. Whichever container Paul opened was deemed his predicted winner.' Does Paul have psychic power? In other words, is an 8 for 8 record significantly better than just guessing? Use StatKey or other technology to create a randomization distribution. Calculate ap-value. Round the p-value to three decimal places. p-value =

The weather in Columbus is either good, indifferent, or bad on any given day. If the weather is good today, there is a 40% chance it will be good tomorrow, a 30% chance it will be indifferent, and a 30% chance it will be bad. If the weather is indifferent today, there is a 50% chance it will be good tomorrow, and a 20% chance it will be indifferent. Finally, if the weather is bad today, there is a 10% chance it will be good tomorrow and a 30% chance it will be indifferent. a. What is the stochastic matrix, P, for this situation? b. Suppose there is a 10% chance of good weather today and a 90% chance of indifferent weather. What are the chances of bad weather tomorrow? c. Suppose the predicted weather for Monday is 40% indifferent weather and 60% bad weather. What are the chances for good weather on Wednesday? a. Create the stochastic matrix, P, where G is good, I is indifferent, and B is Bad. From: GIB a (Simplify your answers.) To: G

A new game is being introduced at the Hard Rock Cafe.  A ball is spun around a wheel until it comes to rest in one of many spots.  Whatever is listed in that spot will be the player's winnings.  If the wheel has 15 spots labeled $1, 9 spots labeled $2, and 9 spots labeled $10, how much should a player expect to win on average?

A new game is being introduced at the Hard Rock Cafe.  A ball is spun around a wheel until it comes to rest in one of many spots.  Whatever is listed in that spot will be the player's winnings.  If the wheel has 11 spots labeled $1, 10 spots labeled $2, and 5 spots labeled $10, how much should a player expect to win on average?

A shoe company wants to test an updated model of a running shoe on its wear after one month of running. Which of the following describes a matched pairs design? They recruit 50 people who run on a regular basis to participate in their study. They will have the runners wear the shoes when they run for two months. After two O The subjects are numbered 1-50, and these numbers are put into a random number generator. The first 25 random numbers, ignoring repeats, represent the subjects assigned to the new model group. The remaining 25 subjects will wear the original model. months, the wear on the shoes will be determined using the depth of the tread and flexibility of the toe box. The wear between the new model and the original model will then be compared. The subjects' names are written on equal-sized slips of paper and placed into a hat. A researcher then reaches in and pulls out 25 slips of paper. These subjects are assigned to the new model group. The remaining 25 subjects will be…

Maddie conducts a study to see if listening to music helps students learn math.  She surveys a random sample of 250 college sophomores who completed a math class within the past six months.  She asks them to indicate how frequently they listened to music while studying math.  The students also report their final grade in the math class at the end of the semester.   Select the statement below that is false.     There is no placebo in this study.     Maddie conducted an observational study.     A confounding variable could be how often the participants studied math.     The population Maddie studied was 250 college sophomores.

Mickey and Minnie are playing a game. They spin a spinner that has 11 equally sized pieces, 3 red, 2 blue, 1 green and 5 yellow. If the spinner lands on yellow, Minnie wins $7. If it lands on blue, Minnie wins $ 4. If it lands on any other section, Minnie loses money. In order for the game to be fair, Minnie must lose $ Blank 1. Calculate the answer by read surrounding text. if

In a series of studies, Sebastian Deri and his colleagues (2017) asked multiple groups about the number of friend groups they had and how often they attended different social events. They then asked participants how they thought their own numbers compared to other people's: Did participants see themselves as less social, the same as, or more social than others? In the first study, the researchers reported that: "Three hundred four participants from Amazon's Mechanical Turk (150 women; Mage = 37.1; 78% White, 10% Black, and 6% Asian) completed a survey in exchange for modest payment" (p. 860). What do the researchers mean by "Amazon's Mechanical Turk" with respect to their sample of participants? O A. An archival data set that already exists and from which researchers can use data O B. An online tool that researchers can use to recruit people to participate in research in exchange for a small payment O C. An e-book sold by Amazon that includes contact information for possible…

A roulette wheel has 38 numbers, with 18 odd numbers (black) and 18 even numbers(red), as well as 0 and 00 (which are green). You bet 5 dollars that the outcome is anodd number. If you win you get 10 dollars; otherwise you lose your 5 dollars. Note:assume the 0 and 00 numbers are considered even numbers What is your expected winnings? Which of these options is best: bet on an odd number or don’t bet? Why?

A new game is being introduced at the Hard Rock Cafe.  A ball is spun around a wheel until it comes to rest in one of many spots.  Whatever is listed in that spot will be the player's winnings.  If the wheel has 13 spots labeled $1, 15 spots labeled $2, and 7 spots labeled $10, how much should a player expect to win on average?