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A recent study found that 40% of the people in a certain city take public transportation at least once per week. We suspect that the real percentage is less than this. We ask 75 people if they use public transportation weekly and 24 say 'no'. We'd like to know if this is sufficient evidence to suggest that the real percentage of people who take public transportation is less than what was reported. Find the p-value.
Start rolling dice until a particular number, say 3, is obtained, and keep track of how many rolls are necessary. Repeat 100 times. Then find the average.
Many students graduate from college deeply in debt from student loans, credit card debts, and so on. A sociologist took a random sample of 401 single persons.
If the lights are wired in series neither one will continue to shine even if only one of them burns out. In this situation, compute the probability.
Show hypothesis testing procedure including null and alternative hypothesis, the calculation of the test statistic, and the correct wording of the final conclus
Steroids in high school A study by the National Athletic Trainers Association surveyed random samples of 1679 high school freshmen and 1366 high school seniors.
two dice are tossed. let a be the event that the sum is 7. let b be the event that first die is 6. let c be the event
When the level of confidence and the sample size remain the same, a confidence interval for a population mean µ will be wider, when the sample standard deviation s is small than when s is large.
Weights (X) of men in a certain age group have a normal distribution with mean μ = 180 pounds and standard deviation σ = 20 pounds. Find each of the given probabilities:
Do cars get better gas mileage with premium instead of regular unleaded gasoline? While it might be possible to test some engines in a laboratory setting, we'd rather use real cars and real drivers in real day-to-day driving, so we get 20 voluntee..
a. Determine the probability that the watch's battery will last longer than 3.5 years. b. Calculate the probability that the watch's battery will last more than 2.75 years. c. Compute the length-of-life value for which 10% of the watch's batteries la..
Suppose that a random variable X has a continuous distribution with the p. d. f. given in Example 2 of this section. Find the expectation of 1/ X.
It is estimated that 93 % of senior citizens suffer from sleep disorders and 8 % suffer from anxiety. Moreover, 6 % of senior citizens suffer from both sleep disorders and anxiety.
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