Number of heads appearing on first
A fair coin is tossed four times. What is the probability that the number of heads appearing on the first two tosses es equal to the number of heads appearing on the second two tosses?
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A random sample of size 20 is taken, resulting in a sample mean of 16.45 and a sample standard deviation of 3.59. Assume x is normally distributed and use this information and α = .05 to test the following hypotheses.
Assume the standard deviation of 14 minutes. Cosider a group of 12 people. What is the probability that the mean minutes of work is at least 512?
Explain the purpose of a null hypothesis. Why are both a research/alternative hypothesis and a null hypothesis necessary in statistics?
If the researcher uses a 5% level of significance, what statistical conclusion can be reached? What are the hypotheses?
SAT I scores around the nation tend to have a mean scale score around 500, a standard deviation of about 100 points, and are approximately normally distributed. What SAT I score within the population would have a percentile rank of approximately 9
Find the moment generating function for Y^2 where Y is an independent standard normal random variable.
OH has 15 residents, 10 are Democrats. In a sample of 4 different voters, what is the probability that exactly 3 are Democrats?
Two players put one dollar each into a pot. They decide to throw a pair of dice alternately. The first one who throws a total of 5 on the two dice wins the pot. How much should the player who starts add to the pot to make this a fair game?
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