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1. Each mating season, birds of a certain species usually lay a clutch of 6 eggs in their nests. A biologist notices, however, that clutch number deviates from the usual when the birds feed on a certain kind of berry containing a narcotic alkaloid. He examines the nests of 7 such birds and finds the following numbers of eggs:
8 2 5 7 4 10 6
a. Is there evidence that the alkaloid causes the birds to lay fewer eggs than usual?
b. Compute the variance of the sample.
2. Show that Chebyshev's theorem is true for the population in Exercise for k = 2 and k = 3.
Coins. A coin is to be tossed 36 times. a) What are the mean and standard deviation of the number of heads?
The amounts of electric bills for all households in a city have an approximately normal distribution with a mean of $110 and a standard deviation of $20.
The Sports Illustrated jinx. Some people believe that teams or individual athletes who appear on the cover of Sports Illustrated magazine will experience
The direction of the pigeons" loft is 149 degrees from their release point. Do the pigeons, on average, fly directly to the loft?
Why use the Wilcoxon T test. What is the hypothesis statements you used? Consider do we prefer working with dependent samples or independent samples? Explain
If two American adults are randomly selected, what is the probability that neither of them has ever experienced a migraine headache?
Jody wishes to have an estimate of the smallest and biggest differences that might exist in the average time required for typing the business form.
firms with a reputation for ethical behavior in strategic alliances are likely to have more opportunities to form
Select one of the listed religions or philosophies for each region. Now imagine that you have traveled to the each of these regions and learned.
Compute the probability that a random sample of 50 infants born at full term results in a sample mean of less than 3500 grams.
What is the MTBF?- On a given day, what is the probability that it will break down?- If four days have passed without a breakdown, what is the probability that it will break down on the fifth day?
Use the steps of hypothesis testing. (b) Sketch the distributions involved. (c) Explain your answer to someone who has never taken a course in statistics.
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