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Education: SAT and ACT Scores For a given population of high school seniors, the Scholastic Aptitude Test (SAT) in mathematics has a mean score of 520 with a standard deviation of 120. Another widely used test is American College Testing (ACT) exam. The mathematics portion of the ACT has a mean of 19 and a standard deviation of 7. Both SAT and ACT scores are normally distributed. What is the probability that a randomly selected high school senior's score on the mathematics part of the SAT will be:
(a) more than 630?(b) less than 425?(c) between 425 and 630?
What is the probability that a randomly selected high school senior's score on the mathematics part of the ACT will be:
(d) more than 29?(e) more than 14?(f) between 14 and 29?
The area under the standard normal curve between 0 and 2 is twice the area under area between 0 and 1.
The standard deviation of this poll is 4%. What would be the standard deviation if the sample size were increased from 93 to 187?
A study published in the New England Journal of Medicine (Aug. 2001) suggests that it's dangerous to enter a hospital on a weekend. During a 10-year period, researchers tracked over 4 million emergency admissions to hospitals in Ontario, Canada. T..
How many students must be randomly selected to estimate the mean weekly earnings of students at one college?
If the estimate is to be within 8 mpg of the true mean with 98% confidence and the estimated standard deviation is 22 mph, how large a sample size must be taken?
Historically, it is known that the score has a Normal distribution and a standard deviation of 180. Set up the null hypothesis and the alternative hypothesis. Calculate the test statistic and find the p-value.
What is the event corresponding to the above system failing during one period of operation and what is the event corresponding to the above system functioning properly during one period of operation?
Write the Lagrangian for a one-dimensional particle moving along the x-axis and subject to a force F=-kx (with k possitive). Find the lagrange eqn of the motion and solve it.
The weekly dollar demand and supply functions for tents, t, are given by the following respective formulas:
What are the assumptions necessary to use the z-series test? What are the assumptions necessary of use the t-series test?
State the quick rule for a significant correlation and explain its limitations. What sums are needed to calculate a correlation coefficient? What are the two ways of testing a correlation coefficient for significance?
A group of employees at a large factory was asked to indicate their preference for one of two pension schemes. The table below gives the responses of three different categories of employees at the factory.
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