Here is the question: "For the given event, state whether the difference between what occurred and what you would have expected by chance is statistically significant or not statistically significant. After 36 rolls of two six-sided dice, the numbers on the dice add to 4 two times."
probability of dice add to 4 on a single roll of two dice =3/36=1/12 (since (1,3),(2,2),(3,1) are 3 outcomes where sum is 4)
P(getting 2 or less number of times the sum of 4) =P(X<=2) =P(X=0)+P(X=1)+P(X=2)
=(36C0)*(1/12)0(11/12)36+(36C1)*(1/12)1(11/12)35+(36C2)*(1/12)2(11/12)34=0.4134
since probability of above event or more extreme is greater than 0.05 , the event is not statistically significant.
Here is the question: "For the given event, state whether the difference between what occurred and...
Question 12 2 pts If a researcher reports a “statistically significant difference” between two groups after conducting an independent-samples t test, this implies that: Cohen's d is at least 0.50. the difference between the two groups is unlikely to have occurred by chance if the null hypothesis is true. the difference between the two groups is unlikely to have occurred by chance if the null hypothesis is false. there is a large difference between the two groups.
2. (25 points) Sekora International Casino (SIC) is launching a new game making use of fair 6-sided dice . In phase 1, roll two 6-sided dice and compute the difference between the rolls. Call this difference . In phase 2, roll r dice, and add up the total of the rolls. This is the payout in dollars of the game. (with the numbers 1-6 on the sides). The game proceeds in two phases as follows: (a) (5 points) In the...
Instructions: Read each scenario below, and then answer the questions that follow. Don’t forget to write the appropriate category labels in the empty boxes for each table. One of the more interesting applications of the c2 test is to examine issues of fairness and cheating in games of chance. Since such games usually involve wagering, there is an incentive for people to try to rig the games, and allegations of missing cards, "loaded" dice, and "sticky" roulette wheels are all...
One of the more interesting applications of the x test is to examine issues of fairness and cheating in games of chance. Since such games usually involve wagering, there is an incentive for people to try to rig the games, and allegations of missing cards, "loaded" dice, and "sticky" roulette wheels are all too common. Take the example of dice. Most dice used in wagering have six sides, with each side having a value of one, two, three, four, five,...
2B i The binomial probability distribution P(r:p;n) is given by n! What does this distribution describe? State the meaning of the following three terms in the distribution 131 (n-F! A single perfect dice is rolled multiple times Calculate the probability of throwing two fives with 2 throws of the dice. 2 Calculate the probability of obtaining one five and one six in any order from2 throws of the dice. 3 How often does one need to roll the dice to...
The Dice game of "Pig" can be played with the following rules. 1. Roll two six-sided dice. Add the face values together. 2. Choose whether to roll the dice again or pass the dice to your opponent. 3. If you pass, then you get to bank any points earned on your turn. Those points become permanent. If you roll again, then add your result to your previous score, but you run the risk of losing all points earned since your...
You overhear a conversation between Mark and Anne in the gym. Mark is saying that he can bench press on average 200 pounds. Anne responds that on average she can bench press more. Mark then challenges her, saying "Show it!" Apparently, Anne keeps track of her data well, because she answers: "In the last n = 45 times, I pressed y = 205 with s2 = 24.5 pounds." She then suddenly turns around, looks at you, and says: "You are...
The heights of adult men in a certain country are normally distributed with a mean of 70.4 inches and a standard deviation of 2.5 inches. a. What are the standard score and percentile of a height of 73 inches? The standard score is z = __________ (Round to two decimal places as needed.) The percentile is the ______ percentile. (Round to two decimal places as needed.) b. What are the standard score and percentile of a height of 69 inches?...
What is the most likely outcome when we throw two fair dice,
i.e., what is the most likely sum that the two dice would add to?
Why? This problem can be solved by first principles. The probability
P(E) for an event E is the ratio |E|/|S|, where |E| is the
cardinality of the event space and |S| is the cardinality of the
sample space. For example, when we throw a fair die, the event
space is S = {1,2,3,4,5,6} and...
QUESTION 19 For an independent-measures research study, what is measured by Cohen's dori?? a. Whether or not treatment means are significantly different b. The size of the difference between the two treatements OC. The risk of committing a Type I error d. Whether the difference between the two treatments is likely to have occurred by chance QUESTION 20 A researcher conducts an independent samplest test with df = 50. If the two samples are the same size, then how many...