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1. Back to school, again. Based on the 74% national retention rate described in Exercise 31, does a college where 522 of the 603 freshman returned the next year as sopho- mores have a right to brag that it has an unusually high retention rate? Explain.
2. Binge sample. After hearing of the national result that 44% of students engage in binge drinking (5 drinks at a sitting for men, 4 for women), a professor surveyed a random sample of 244 students at his college and found that 96 of them admitted to binge drinking in the past week. Should he be surprised at this result? Explain.
3. Polling. Just before a referendum on a school budget, a local newspaper polls 400 voters in an attempt to predict whether the budget will pass. Suppose that the budget actually has the support of 52% of the voters. What's the probability the newspaper's sample will lead them to predict defeat? Be sure to verify that the assumptions and conditions necessary for your analysis are met.
a study of the time spent shopping in a supermarket for a market basket of 20 specific items showed an approximately
6% are too long and can be used after being cut, and 4% are too short and must be scrapped. What is the probability that a randomly selected bolt can be used?
Compute a value V that enables us to state, with 90 percent confidence, that population variance (sigma^2) is less than V.
the probability that a randomly selected pregnancy lasts less than 149 days is approximately .3821. so the probability
In the following study, participants were randomly assigned to receive humanistic therapy, psychodynamic therapy, or behavioral therapy for their depression.
a psychological introvert-extrovert test produced scores that had a normal distribution with mean and standard
A physician wanted to estimate the mean length of time µ that a patient had to wait to see him after arriving at the office.
assume the readings on thermometers are normally distributed with a mean of 0 degrees celsius and a standard deviation
Suppose the boundary conditions are that u(x,y) vanishes on the lines x=0 ,x=3, y=0, and y=2. Derive the corresponding boundary conditions for f and g. Given k^2, show that only certain values of the separation constant lead to non-trivial solution..
Ten pairs of points yielded a correlation coefficient y of 0.79. If a=0.05, which of the following statements is correct if H 0:P=0? (Do not calculate a t-value.)
A new-car dealer is leasing various brand-new models for the monthly rates(in dollars) listed below. Estimate the true population variance and standard deviation in leasing rate with 90% confidence.
It has been known from the past experience that two percents of your emails are spam. Suppose you will receive 200 emails. Find the mean and variance of the number of spam emails among those
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