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The GMAT scores of students who are potential applicants to a university are normally distributed with a mean of 487 and a standard deviation of 98.
a. What percentage of students will have scores exceeding 500?
b. What percentage of students will have scores between 600 and 700?
c. If the university wants only the top 75% of the students to be eligible to apply, what should be the minimum GMAT score specified for eligibility?
d. Find the narrowest interval that will contain 75% of the students' scores.
e. Find x such that the interval [x, 2x] will contain 75% of the students' scores. (There are two answers. See if you can find them both.)
Find the proportion of all graduate students at this university with an undergraduate major in mathematics at the 90% confidence level.
Sample data was collected in a study of calcium supplements and their effects on blood pressure. A placebo group and a calcium group began the study with blood pressure measurement.
NCAA Basketball Tournament. Each year, 64 college basketball teams compete in the NCAA tournament. Sandbox.com recently offered a prize of $10 million to anyone who could correctly pick the winner in each of the tournament games.
In what order should the cars be processed through the facility that is the most efficient overall - how long from start to finish will it take to complete the processing the five cars?
In a random sample of 20 people, the mean tip that they said they would leave after a $30 meal was $3.75 and the standard deviation was $0.25. Construct a 99% confidence interval for the population mean.
A part is produced with a mean of 6.2 ounces and a standard deviation of 0.2 ounce. What is the probability that the weight of 100 such items is between 6 l6 and 624 ounces?
Two manufacturing facilities produce 1280 × 1024 LED (light-emitting diode) displays. Twelve displays are chosen at random from each lab, and the number of bad pixels is noted for each display.
A control system is shown in Figure AP9.8. The gain K is greater than 500 and less than 3000. Select a gain that will cause the system step response to have an overshoot of less than 20%. Plot the Nichols diagram, and calculate the phase margin.
a. Find the distribution of the project duration. Report the mean and the standard deviation. b. If the project duration exceeds 250 days, a penalty will be assessed. What is the probability that the project will be completed within 250 days?
A random sample of 16 ages is drawn from the population, and we find the sample mean of these observations to be μ = 8.76. What is the value of the test statistic?
the distribution of the annual incomes of a group of middle management employees approximated a normal distribution
a gambler has a fair coin with one head and one tail and a two-headed coin. he selects one of the coins at random and
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