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The lady in question (Dr. Muriel Bristol) claimed to be able to tell whether the tea or the milk was added first to a cup. Fisher proposed to give her multiple cups in random order. One could then ask what the probability was for her getting the specific number of cups, she identified correct, but just by chance. Fisher's description is less than 10 pages in length and is notable for its simplicity and completeness regarding terminology, calculations, and design of the experiment. The example is loosely based on an event in Fisher's life. The test used was Fisher's exact test.
a. If the responses were generated by random guesses, what is the probability to obtain the given table?
b. Use the Fisher's exact test to check whether the lady is up to something. What is the p-value in the Fisher's?
Test?
In the report, the researchers stated, "These results remain significant after adjustment for socioeconomic status." What does this mean? Can we conclude that a television in the bedroom causes a higher body mass index? Explain.
Consider the roll of a pair of dice, and let X denote the sum of the two numbers appearing on the dice. Find the probability distribution of X, and find the cumulative distribution function. What is the most likely sum?
Note that this implies that the sample standard deviation is not an unbiased estimator of the population standard deviation.
Compute the standard error of the mean O(funny o with line) line over x, for sample sizes of 50, 100, 15o, and 200. What can you say about the size of the standard error of the mean as the sample size is increased?
Suppose a marketing research firm sends questionnaires to 10 different companies. Assuming that each company, independently of the others, returns its completed questionnaire with probability 0.40, what is the probability that 5 or less questionna..
Jane wants to search for information about the variety of attention disorders that are seen in childhood. Which of the following sets of keywords would best get Jane started on an effective and efficient search?
Resume that you have analyzed a relationship between 2 management styles and found they are significantly related. A statistician has looked at your output.
Test the hypothesis that the proportion of all student cell phone users in the United States who own a smartphone is 35%. Use the 5% level of significance and report your results.
Paying high prices? A retailer entered into an exclusive agreement with a supplier who guaranteed to provide all products at competitive prices.
Suppose that 245 such companies are selected independently and at random. What is the probability that 191 companies in the sample electronically monitor their employees?
CRA CDs Inc. wishes mean lengths of "cuts" on a CD to be 132 seconds (2 minutes and 12 seconds). This will permit disk jockeys to have plenty of time for commercials in each 10-minute segment.
Do the data indicate that the mass of the spill tends to diminish as time increases? If so, how much will the mass diminish each minute?
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