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After reading Martin's ( 2002) article on the potential benefits of laughter, a group of student researchers decided to test the hypothesis that laughter increases pain tolerance.
A girl having two siblings is chosen at random. What is the probability that she has no sisters? Define the sample space such that the outcomes are equally likely. Then determine the probability of th
A fair coin is flipped 4 times. What is the probability of observing (i) at least one head (ii) no more than two heads, (iii) a run of two or more consecutive tails?
The inclusion-exclusion principle for three events A, B, and C is P(A[B[C) = P(A)+P(B)+P(C)-P(A\B)-P(A\C)-P(B\C)+P(A\B\C)
The personnel director at a large company studied the eating habits of the company's employees. The director noted whether employees brought their own lunches to work, ate at the company cafeteria,
Assume that the mean score on a certain aptitude test across the nation is 100, and that the standard deviation is 20 points. Find the probability that the mean aptitude test score for a randomly se
What happens to the Maximum Error of Estimate as the sample size gets smaller? What effect does the answer to C above have to the size of the confidence interval?
By measuring the amount of time it takes a component of a product to move from one workstation to the next, an engineer has estimated that the standard deviation is 3.87 seconds.
A 90% confidence interval estimate for a population mean was computed to be (49.3, 67.9). Determine the mean of the sample, which was used to determine the interval estimate (show all work).
A study was conducted to estimate the mean amount spent on birthday gifts for a typical family having two children. A sample of 150 was taken, and the mean amount spent was $242.86.
Determine the maximum error of the estimate, E. Determine the confidence level used for the given confidence interval.
A horse race has 14 entries. Assuming that there are no ties, what is the probability that the four horses owned by one person finish first, second, third, and fourth?
You are considering two types of tires for your car. The prices of both types are approximately the same. You decide to buy the tire which has the highest average of durability, in terms of the numb
Define the population random variable and state the information given about it. For (b), (c) and (d), define the random variable for each one and state its distribution (if known).
The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches. A sample of four metal sheets is randomly select
Suppose X is a continuous random variable with density fx(x) = 2X for 0 < x < 1. You observe 120 independent values each with this distribution. Use the Central Limit Theorem to approximate
The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches.
What effect does the minimum amount have on the interest rate being offered on 3 month certificates of deposits (CDs) ? The following are advertised rates of return, y for a min. deposit of $500, $1
Used a t-test to test the claim about the population mean µ at the given level of significance a using the given sample statistics. For each claim, assume the population is normally distribute
Students at a University were assigned to a project. This project involved timing how fast students could log on to the universities website. The students would then use that data to decide if there
A real estate agent in the coastal area of Georgia wants to compare the variation in the selling price of homes on the oceanfront with those one to three blocks from the ocean.
A new integrated computer system is to be installed worldwide for a major corporation. Bids on this project are being solictied, and the contract will be awarded to one of the bidders.
The distribution of actual weights of 8 oz. wedges of cheddar cheese produced at a dairy is Normal with mean 8.1 ounces and standard deviation 0.1 ounces.
Assume that SAT scores are normally distributed with mean =1518 and standard deviation = 325 (based on information from the college board).
Coaching companies claim that their courses can raise the SAT scores of high school students. Of course, students who retake the SAT without paying for coaching generally raise their scores. A rando