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In a study of 420,145 cell phone users, 105 subjects developed cancer of the brain or nervous system. Test the claim of a somewhat common belief that such cancers are affected by cell phone use. That is, test the claim that cell phone users develop cancer of the brain or nervous system at a rate that is different from the rate of 0.0340% for people who do not use cell phones. Because this issue has such great importance, use a 0.005 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.
1. Let X have a Poisson distribution with parameter 0. Assume that the unknown O is a value of a random variable 0 that has a gamma distribution with parameters IX = r and fJ = (1 -p)/ p, where r is a positive integer and 0 p 1.
The uniform space is called complete if every Cauchy net converges to some element of S (for the topology of U ). If a metric space (S, d) is complete, prove it is also complete as a uniform space.
Suppose a baseball player had 211 hits in a season. In the given probability distribution, the randon variable X represents the number of hits the player obtained in a game. Compute and interpret the mean of the random variable x.
Assuming that the data may be looked upon as a random sample from a normal population, construct a 99% con?dence interval for the actual average number of errors per page in this book and interpret. In this problem, is the normal model appropriate..
Assume a factory manager wishes to buy machines to perform a certain task in a production process. Certain key parts are produced by these machines.
question a small stock brokerage firm wants to determine the average daily sales in dollars of stocks to their clients.
Probability using discrete distribution.The probability distribution for the random variable x follows.
Joe is considering pursuing an MBA degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 25% for University A and 40% for University B.
Problem: For a biology project, you measure the tail length in centimeters and weight in grams of 12 mice of the same variety. What units of measurement do each of the following have?
18 people were poled and 10 said they have shopped at Wal-Mart and 8 said they have shopped at Target. 4 said they shopped at both. What is the probability that the group shopped at Wal-Mart or Target? Define independent and mutually exclusive even..
A store manager wishes to find out whether there is a relationship between the age of her employees and the number of sick days they take each year. The data for the sample are shown below:
How might you deal with outliers that are not due to coding errors? Explain your reasoning. Write a sample result section, discussing your data screening activity.
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