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A radio manufacturer claims that 65% of teenagers 13 to 16 years old have their own portable radios. A researcher wishes to test the claim and selects a random sample of 80 teenagers. She finds that
A man rolls a pair of dice 24 times and wins if he ever gets a boxcars (double sixes). What is the probabbility that he wins?
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
If the sample size is n=100 explain why it is very unlikely that x is an exponential random variable? If x is normal and the sample size is n=3 what is the 99% confidence interval for u^2?
In a southern state, it was revealed that 5% of all automobiles in the state did not pass inspection. Of the next ten automobiles entering the inspection station. What is the probability that none w
The National Quality Research Center at the University of Michigan provides a quarterly measure of consumer opinions about products and services (The Wall Street Journal, February 18, 2003).
For a particular instant lottery, the bettor can determine immediately whether a purchased ticket is a winning ticket. Suppose that the probability of a winning ticket is p=1. 10. What is the expec
What is the probability that both Babe and Benji consumed the same number of cherries with seeds? Given that Benji consumed exactly two cherries with seeds, what is the probability that Babe consumed
The number of earthquake tremors in a 12-month period appears to be distributed as a Poisson random variable with a mean of 6. Assume the number of tremors from one 12-month period is independent of
Is the probability of dying if you are diagnosed with bladder cancer independent of the probability of dying from cancer if diagnosed with cancer? Why or why not?
In the game of craps (dice table) the simplest bet is the pass line. The probability of winning such a bet is .493 and the payoff is even money, i.e., if you win you receive $1 more for each dollar
Can the data categorized below be observations from a binomial distribution with number of trials 8? State the appropriate null and alternative hypotheses and carry out the appropriate CHi-squa
The lawyer calculates his average commuting time for one five day work week and obtains 27.2. Assuming this to be a random sample, what is the probability a weekly average is 27.2 or less?
The mean delivery time for an auto parts delivery company ranges from 15 minutes to 75 minutes. How many delivery times must be sampled for the company to estimate their mean delivery time to within
A researcher wishes to estimate the average amount of money a person spends on lottery ticket each month. A sample of 50 people who play the lottery found the mean to be $19 and standard deviation 6
Construct a 99% confidence interval for the true difference in proportion of women who were deemed healthy with taking Prozac or a placebo.
Use the appropriate test with alpha = 0.01 to determine if we can conclude that the mean life of the bulbs is smaller than 800 hours? Write the conclusion in the context of the problem including the
How large a sample should be taken if in a prior survey of Canadians, 70% were in favour of the Kyoto Protocol? If no estimate of the sample proportion is available, how large should the sample be?
An auto manufacturing company wanted to investigate how the price of one of its car models depreciates with age. The research department at the company took a sample of eight cars of this model and
A normal distribution has a mean of 500 and a standard deviation of 50. A manager wants to simulate one value from this distribution, and has drawn the number 1.4 randomly. What is the simulated val
What NCAA college basketball conferences have the higher probability of having a team play in college basketball's national championship game? Over the last 20 years, the Atlantic Coast Conference (
Given the following data on the number of pints of ice cream sold at a local ice cream store for a 6-period time frame:
Consider a (discrete-time) Markov chain {Xn} on the state space S = {1,2,3,4} with transition probabilities given by
An inspector correctly identifies defective products 90% of the time. For the next 10 products, the probability that he makes fewer than 2 incorrect inspections is 0.736.