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Counselors at an exclusive private college look carefully at the applications from high school students seeking admission to the college. One of their criteria is that these students must score in the top 3.5% of all students who took the required entrance exam. The exam is constructed such that the scores are normally distributed with an average of 1500 and a standard deviation of 150 The minimum exam score necessary for applicants to be further considered for admission is?
A health researcher is interested in determining whether or not the speed at which people walk is related to their cholesterol levels. He picks 100 adult volunteers at random, checks their cholesterol levels, and then times each one while they wal..
The following show the hours of sleep on weeknights for a sample of individuals age 49 and younger and for a sample of individuals age 50 and older.
A rental agent claims that the mean monthly rent, mu, for apartments on the east side of town is less than $725. A random sample of 13 monthly rents for apartments on the east side has a mean of $724
Explain the value of test statistic using t distribution for the given value. Illustrate value of the t test statistic if you are testing a hypothesis.
Estimate the probability the store will gross over $850 a) Fewer than 5 out of 10 business days.
Conclude whether the given conditions justify using the methods of this section when testing a claim about a population mean µ.
A college believes that 28% of applicants to that school have parents who have remarried. How large a sample is needed to estimate the true proportion of students who have parents who have remarried to within 5 percentage points with 95% confidenc..
Explain why the ordinary least squares solution is not unique. What can you say about the residuals of any of the solutions. Using the SVD of X, write a closed form expression for this limiting solution.
A restaurant claims that the waiting time of customers for service is normally distributed with a mean of 3 minutes and a standard deviation of 1 minute.
A cereal manufacturer seeks to test their newest product against a competitor's. A group of 100 children was asked to evaluate each brand, and then to express a preference. To guard against bias, neither the children, nor the technicians serving t..
Assuming the weight of cereal is normally distributed, determine the likelihood that a package will contain more than 12.2 ounces. Calculate using megastat.
Test the hypothesis that the annual income of corporate trainers in areas of more then 500,000 are significantly more than those in areas of less than 100,000. Use the 5% level of risk.
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