Why research and null hypothesis necessary in statistics
Explain the purpose of a null hypothesis. Why are both a research/alternative hypothesis and a null hypothesis necessary in statistics?
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Discuss type I and type II errors in relation to a control chart. What practical implication in terms of process operation do these two types of error have?
A standard deck of 52 cards is thoroughly shuffled and cut. What is the chance of turning up either an Ace or a Heart?
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?
If the researcher uses a 5% level of significance, what statistical conclusion can be reached? What are the hypotheses?
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?
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.
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