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Before a championship football game, the referee is given a special commemorative coin to toss to decide which team will kick the ball first. Two minutes before game time, he receives an anonymous tip that the captain of one of the teams may have substituted a biased coin that has a 70% chance of show-ing heads each time it is tossed. The referee has time to toss the coin 10 times to test it. He decides that if it shows 8 or more heads in 10 tosses, he will reject this coin and replace it with another coin. Let p be the probability that this coin shows heads when it is tossed once.
a. Formulate the relevant null and alternative hypotheses (in terms of p) for the referee's test.
b. Using the referee's decision rule, find for this test.
suppose a study of 196 randomly sampled privately insured adults with incomes over 200 of the current poverty level is
Using symbols mention null hypothesis and alternative hypothesis.
Given that 30% of US adults are smokers, find the average of the random variable X= # of smokers in a random sample of 50 residents of the USA, also find the variance and standard deviation of X.
The objective is to maximize the expected net return. Define the optimal value function and give the optimality equation. Find the optimal policy.
in a large american university in 1969 the male and female professors were sample independently yielding the following
The proportion of drivers who use seat belts depends on things like age, gender, ethnicity, and local law. As part of a broader study, investigators observed a random sample of 117 female hispanic drivers in Boston
The mean maximum oxygen uptake for elite athletes has been found to be 80 with a standard deviation of 8.1. Assume that the distribution is approximately normal.
denote by a b and c the events that a grand prize is behind doors a b and c respectively. suppose you randomly picked a
Women's heights are normally distributed with mean 63.6 and standard deviation of 2.5 in. A social organization for tall people has a requirement that women must be at least 70 in tall.
After a one-hour standoff, what is the likelihood (in percentages) that the negotiation will end successfully? After four hours? After eight hours?
in a sample of seven cars each car was tested for nitrogen-oxide emissions in grams per mile and the following results
To avoid losing money, the top 5% (the heaviest 5%) is labeled overweight. A) What proportion of boxes is underweight?
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