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A player tosses two coins. If two heads show he wins $4. If one head shows he wins $2, but if two tails show he must pay a $3 penalty. Calculate the expected value of the game to him.
Charles claims that he can distinguish between beer and ale 75% of the time. Ruth claims that he just guesses. To settle this, a bet is made. Charles is to be given ten small glasses, each having be
Let X denote the lifetime of a radio, in years, manufactured by a certain company. Assume that X is exponentially distributed, with a mean of 5 years.
In January 1971, a Gallup Poll asked, "A proposal has been made in Congress to require the US government to bring home all US troops before the end of the year. Would you like to have your congressm
A random sample of 55 standard hotel rooms in the Philadelphia, PA area has a mean nightly cost of $154.17 and a standard deviation of $38.60. Construct a 99% confidence interval for the population
Is the average run length performance of a control chart a more meaningful measure of performance than the type I and type II error probabilities? What information does ARL convey that the statistic
In the absence of premilinary data, how large a sample must be taken so as to be sure that a 98% confidence interval will specify the proportion to within ±0.05.
If Elyse and Jodi are roommates, what is the probability that parties for these two students are back to back?
Simulate at least 5000 intervals and note the proportion that contained the mean. Note how the proportions correspond to the confidence levels. What you should observe is that the percentage that do
A sample of 200 items will be taken and the population standard deviation is s = 10. Use a = .05. Compute the probability of making a Type II error using the population means shown below (to 4 decim
A cave diving team has 6 spots: 1 leader, 2 medics and 3 scientists. There are 8 people interested in being on the team but Jane will only participate if she can be the leader! Also, Sidney and Ruth
Make a point estimate for the proportion of all U.S. asthmatics who are allergic to sulfites. Find the margin or error for this estimate at 99% confidence.
A student of the author surveyed her friends and found that among 20 males, 4 smoke and among 30 female friends, 6 smoke. Give two reasons why these results should not be used for a hypothesis test
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 th e second two tosses?
SMI offers insurance to employees. The annual cost per employee per year followed the normal probability distribution, with a mean of $1280 and a standard deviation of $420 per year. What was the c
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 ?
Software to detect fraud in consumer phone cards tracks the number of metropolitan areas where calls originate each day. It is found that 3% of the legitimate users originate calls from two or more
Find a 95% confidence interval for the proportion of residences that reduced their water consumption. Find a 99% confidence interval for the proportion of residences that reduced their water consumpti
Provide one of the two financial firms analyzed using an ANOVA model in the text Supercrunchers.
Determine the probability that a failure is due to induced substance. Determine the probability that a failure is due to disease or infection.
How is the rejection region defined and how is that related to the z-score and the p value? When do you reject or fail to reject the null hypothesis? Why do you think statisticians are asked to comp
A person rolls a die, tosses a coin, and draws a card from an ordinary deck. He receives $3 for each point up on the die, $10 for a head and $0 for a tail, and $1 for each spot on the card (jack = 1
What was the product being analyzed using just the amount of rain and average temperature to predict quality in the text Supercrunchers?
What is the probability distribution of number of tourist buses in Edam village at 4 o'clock in the afternoon?