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A survey of 117,156 women who were free of heart disease showed that 31,101 had at least one parent who had suffered a heart attack before age 60. Four years later, 133 of those with a positive family history of heart attack themselves had signs of heart disease, compared with 141 of those whose parent had not suffered a heart attack. (a) State the hypotheses for a one-tailed test to see if positive family history is associated with increased risk. (b) Obtain a test statistic and p-value. Interpret the results. (c) Is normality assured? (d) Is the difference large enough to be important?
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Draw the histogram showing population distribution. Locate value of population mean in your sketch and make the estimate of standard deviation.
Suppose the manufacturers claim is right, determine the probability the mean of sample is 47,840 miles or less?
A random sample of 48 managers of large hotels has mean X‾= 5.91. The null hypothesis for the researcher's test is?
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 standard deviation of the mileage is 5,000 miles.
A sample of 49 repairs showed an average overhaul of 285 hours with a standard deviation of 50 hours. Calculate a 95% confidence interval for the average overhaul.
Probability of 0.3, and is a draw with probability of 0.3, independently of the previous games. What is the probability that Fischer wins the match?
Alice and Bob agree to meet at the bus stop between 12 noon and 1pm. They each arrive at a random time in that interval and wait for 5 minutes before leaving, unless they see the other person. What is the probability that they meet each other?
You take a random sample and perform a hypothesis test, getting a p-value of 0.2578. What is the appropriate conclusion? Conclude at the 5% level of significance.
Use factoring, the quadratic formula, or identities to solve the following equations:
Employ the frequency distribution, which describes the response of a survey of college students when asked, "How often do you wear a seat belt when riding in a car driven by someone else?"
Briefly discuss a real-world example when the solution of a system of inequalities must be in the first quadrant?
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