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The average number of mosquitos in a stagnant pond is 80 per square meter with a standard deviation of 12. If 25 square meters are chosen at random for a mosquito count, find the probability that the average of those counts is more than 81.4 mosquitos per square meter. Assume that the variable is normally distributed.
Test hypothesis that average price of gasoline in western states is higher than national average for Continental USA and the District of Columbia, i.e., higher than $3.74.
Many people believe that abnormal behavior is more likely to occur during a full moon. As a test for empirical evidence to support this belief, a study was conducted based on admission of new clients over a one year period by lunar phases:
A random sample of eight cars from each manufacturer is selected, and eight drivers are selected to drive each automobile for a specified distance.
Chebyshev's Theorem states that the percentage of observations in a data set that should fall within five standard deviations of their mean is
An analyst wishes to include number of older siblings in family as a predictor variable in a regression analysis of factors affecting maturation in eighth graders.
Describe why the normal distribution can be used as an approximation to binomial distribution. What conditions should be met to use the normal distribution to approximate the binomial distribution? Why is a correction for continuity essential.
A manufacturer claims that he makes light bulbs each of which has a 0.9 probability of operating successfully when plugged in.
Annual family dental expenses for the families of a random sample of ten employees of a company are given below. You can assume the family dental expenses for the employees of the company are normally distributed.
In ANOVA, what does F=1 mean? What are the differences between a two sample t-test and ANOVA hypothesis testing? When would you use ANOVA at your place of employment, in your education, or in politics?
In a certain college, 20% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, what is the probability that exactly 2 belong to an ethnic minority?
In a group of six professors selected at random, what is the expected number of extroverts? What is the standard deviation of the distribution?
Suppose the weights of full boxes of a certain kind of cereal are normally distributed with a population standard deviation of 0.29 ounces.
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