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An accounting professor is notorious for being stingy in giving out good letter grades. In a large section of 140 students in the fall semester, she gave out only 5% As, 23% Bs, 42% Cs, and 30% Ds a
A judge chooses a jury of n people out of a pool of N people. The choice is uniform among all subsets of n elements of the pool. Unhappy with an outcome, he dissolves this jury (returning the people
The ability to taste the compound phenylthiocarbamide (PTC) is a genetically controlled trait in humans. Researchers are planning a study to estimate the proportion of these "tasters." For their pur
The higher the score, the higher the hypnotizability. Assume the data violate the assumptions required for use of the F test, but are at least of ordinal scaling. Using 0.05, what is your conclusion
The manufacturer of the X-15 steel-belted radial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles. The population standard deviation of the
The National Safety Council reported that 52 percent of American turnpike drivers are men. A sample of 300 cars traveling southbound on the New Jersey Turnpike yesterday revealed that 170 were drive
At the .025 level, has Holdlonger increased the shelf life of the chlorine? Estimate the p-value. State the null hypothesis and the alternate hypothesis. State the decision rule for .025 significanc
A trucking firm delivers appliances for a large retail operation. The packages (or crates) have a mean weight of 305 lb. and a variance of 2916. (Give your answers correct to four decimal places.)
A 95% confidence interval for the true proportion of potatoes in the truck that have major defects is
Suppose telephone calls arrive at an emergency hotline at a rate of 5 per hour , and you begin monitoring calls at time t = 0 ( in hours )
An airline company is considering a new policy of booking as many as 281 persons on an airplane that can seat only 270. Past studies have revealed that only 88% of the booked passengers actually arr
Use normal approximation to estimate the probability of getting exactly 47 girls in 100 births. Assume that boys and girls are equally likely.
The Capital Asset Pricing Model is a financial model that assumes returns on a portfolio are normally distributed. Suppose a portfolio has an average annual return of 14.7% (i.e. an average gain of
From their 50 data points (Washington DC not in the study), the researchers calculated a correlation of 0.988. Based on this study, can we say that individuals who spend a lot on groceries also spen
A set of 200 score is normally distributed with a mean of 60 and a standard deviation of 12 . What are the z scores corresponding to the raw scores of 76,38,and 50?
Suppose a random variable X has density f(x) = c x 3; if x equal or great than 1 0; else ; where c is a constant. What is the cumulative distribution function, FX(x)?
What critical value t* from Table C would you use for a confidence interval for the mean of the population in each of the following situations?
If the no. of people working is 2 standard deviations above the mean, how many standard deviations above or below the mean you expect sales to be? What value of sales does the correspond to?
How large a sample should be taken to estimate the true mean coverage of all 1-gallon cans to within (plus/minus) 5 square feet with 95% confidence?
The time to failure of a battery in hours of a personal handheld music device follows an exponential distribution. The expected battery life is 2000 hours. Calculate the cumulative density function,
The probability of a manufacturing defect in an aluminum beverage can is .00009. If 100,700 cans are produced, find the following probabilities.
Suppose thw weekly amount spent on repairs at a certain computer is normally distributed with a mean of $300 and a standard deviation $20
A population is estimated to have a standard deviation of 16. We want to estimate the population mean within 3, with a 90 percent level of confidence. How large a sample is required? (Round up your
In their October 2003 issue, Consumer Reports evaluated the price and performance of 23 models of cordless phones. Computer output gives these summaries for the prices: Min Q1 Median Q3 Max Mean SD