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Distribution of SAT score is scaled to be approximately bell-shaped with mean 500 and standard deviation 100 About 68% of the scores are between 500 +- 100 ; i.e. between 400 and 600 About 95% are between 500 +- 200; i.e. between 300 and 700 Where is the data located? Where is the "middle" of the data? How variable are the data? How spread out about the "middle" are the data?
A certain medication is known to increase the pulse rate of its users. The standard deviation of the pulse rate is know to be 4 beats per minute. A sample of 40 users had an average pulse rate of 98 beats per minute. Find the 95% confidence interv..
State the main points of the Central Limit Theorem for a mean. Why is population shape of concern when estimating a mean? What does sample size have to do with all?
A sample of 49 observations is taken from a normal population. The sample mean is 55 and the sample standard deviation is 10. Determine the 99% confidence interval for the population mean.
Probability based on a random experiment - What is the probability of not randomly generating your cousin's telephone number?
A professor wants to determine if his class' anxiety decreases over the course of the semester. He uses a test to measure a random sample of all students enrolled at midterm and again at the end of the course.
Find the probability that at least one subject experiences headaches. Is it unusual to have at least one of six subjects experience headaches?
Before giving the denition of the binomial probability distribution, try to derive it by using the sample-point approach. How?
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?
An investigator wants to estimate caffeine consumption in high school students. How many students would be required to ensure that 95% confidence interval estimate for the mean caffeine intake (measured in mg) is within 15 units of the true mean? ..
A box contains 3 blue marbles and two red marbles. If two marbles are drawn randomly and without replacement, find the probability that (a) at least one of the marbles is blue
Six vitamin and three sugar tablets identical in appearance are in a box. One tablet is taken at random and given to Person A. What is the probability that Person A was given a vitamin tablet?
Construct a 96% confidence interval for the population proportion when 285 people out of 750 were in favour of boycotting the World Cup matches if prices were to rise above $100 for 64 televised matches.
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