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Suppose you have a coin and you want to test two hypotheses: H0: the coin is fair (that is, you get a head with probability p = 0.5 and a tail with the same) and H1: the coin is unfair and has probability p > 05 for a head and (1-p) for a tail. Assume p is known.
Explain in detail what the optimum Neyman=Pearson test is for all values of the false alarm probability a in the open interval (0,1).
Be careful of randomization.
What is the population mean? What is the best estimate of that value?
Her mean waiting time was 7.4 minutes. Assume that the standard deviation has been historically known to be 2.2 minutes. At the .05 significance level, test the claim that the mean waiting time is less than 10 minutes.
Find the expected GPA when SAT = 800. Find E (GPA|SAT = 1,400). Comment on the difference.
Using a significance test, evaluate whether or not there has been a change in the percent of Internet users who download music. Provide all details for the test. (Round your value for z to two decimal places. Round your P-value to four decimal pla..
If sales invoices are automatically calculated and posted by a company's computer system, can the auditor reduce substantive tests of transactions for the accuracy objective? Why?
Select a US citizen and a citizen of China at random, independently of one another. Determine the probability that both have type O blood?
Estimate with 95% confidence the mean reduction in time it takes for someone who has taken the sleeping pill to fall asleep.
A sample of 25 concession stand purchases at the October 22 matinee of Bride of Chucky showed a mean purchase of $5.29 with a standard deviation of$3.02.
In healthy adults, x is approximately normally distributed with mean µ = 38 and standard deviation σ = 12. What is the probability that:
At the 10% level of significance, is there sufficient evidence to indicate that more books are being loaned out per day, on the average?
Assuming no discrimination based on gender, what is the probability of getting 41 or fewer women when 100 new employees are hired?
Explain your answer to someone who is familiar with the T test for a single sample, but not with the T test independent means.
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