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In a test for extrasensory perception, the participant repeatedly guesses the suit of a card randomly sampled with replacement from an ordinary deck of cards. There are four suits, all equally likely. The participant guesses 100 times, and X = number of correct guesses.
a. Explain why X is a binomial random variable, and specify n and p, assuming that the participant is just guessing.
b. Find the mean and standard deviation for X if the participant is just guessing.
c. Suppose that the participant guesses correctly 33 times. Find the approximate probability of guessing this well or better by chance.
d. Suppose that the participant guesses correctly 50 times. Find the approximate probability of guessing this well or better by chance. In that circumstance, would you be convinced that the participant was doing something other than just guessing? Explain.
Conduct the hypothesis test and provide the test statistic, critical value and/or P- value and state the conclusion.
a researcher conducts a study of perceptual illusions under two different lighting conditions. twenty participants were
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The ages of the cadets in the sample will form a normal distribution.
What is the difference between Einstein's IQ and the mean? How many standard deviations is that [the difference found in part (a)]?
the lifespan of an electrical component is assumed to be normally distributed with an average life of 6 years and a
In a poll to estimate presidential popularity, each person in a random sample of 1000 voters was asked to agree with one of the following statements:
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We conclude that memory of food intake in the distant past is fair to poor." Explain to your audience why r=0.217 points to this conclusion.
The mean of the sampling distribution of means is equal to the mean of the population. T-F, and why or why not - In the formula for the Confidence Interval for the Mean, if the Confidence Coefficient, z(α/2) = 1.65, what is the Confidence Level?
Get a test statistic and p -value. Interpret results at α = .01.
assume that the heights of bookcases are normally distributed. a random sample of 16 bookcases in one company have a
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