Question
1) Suppose that 90% of all registered voters in a certain state favor banning the release of information from exit polls in presidential elections until
1) Suppose that 90% of all registered voters in a certain state favor banning the release of information from exit polls in presidential elections until after the polls in that state close. A random sample of 25 registered voters is to be selected. Let x = number of registered voters in this random sample who favor the ban. (Use Table 9 in Appendix A. Round your answers to three decimal places.)(a) What is the probability that more than 20 voters favor the ban? P(x > 20) = (b) What is the probability that at least 20 favor the ban? P(x 20) = (c) What are the mean value and standard deviation of the number of voters who favor the ban?
Mean | |
Standard deviation |
2)
Studies have shown that people who suffer sudden cardiac arrest have a better chance of survival if a defibrillator shock is administered very soon after cardiac arrest. How is survival rate related to the time between when cardiac arrest occurs and when the defibrillator shock is delivered?The accompanying data give y = survival rate (percent) and x = mean call-to-shock time (minutes) for a cardiac rehabilitation center (in which cardiac arrests occurred while victims were hospitalized and so the call-to-shock time tended to be short) and for four communities of different sizes:
Mean call-to-shock time, x | 2 | 6 | 7 | 9 | 12 |
---|---|---|---|---|---|
Survival rate, y | 90 | 46 | 30 | 4 | 3 |
The data were used to compute the equation of the least-squares line, which was
= 101.29 9.26x.
A newspaper article reported that "every minute spent waiting for paramedics to arrive with a defibrillator lowers the chance of survival by 10 percent." Is this statement consistent with the given least-squares line? Explain.There is not enough information from the least-squares line to make such a statement.Since the slope of the least-squares line is 101.29, we can say that every extra minute waiting for paramedics to arrive with a defibrillator raises the chance of survival by 10.129 percentage points. Since the slope of the least-squares line is 9.26, we can say that every extra minute waiting for paramedics to arrive with a defibrillator lowers the chance of survival by 9.26 percentage points.Since the slope of the least-squares line is 101.29, we can say that every extra minute waiting for paramedics to arrive with a defibrillator lowers the chance of survival by 10.129 percentage points.Since the slope of the least-squares line is 9.26, we can say that every extra minute waiting for paramedics to arrive with a defibrillator raises the chance of survival by 9.26 percentage points.
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