In: Statistics and Probability
26. You roll an eight-sided die five times and get a four every time. You suspect that the die favors the number four. The die maker claims that the die does not favor any number. a. Perform a simulation involving 50 trials of rolling the actual die and getting a four to test the die maker’s claim. Display the results in a histogram. b. What should you conclude when you roll the actual die 50 times and get 20 fours? 7 fours?
24.You choose a random sample of 200 from a population of 2000. Each person in the sample is asked how many hours of sleep he or she gets each night. The mean of your sample is 8 hours. Is it possible that the mean of the entire population is only 7.5 hours of sleep each night? Explain.
26. It is quite possible that sample mean can be different from population mean. This margin of error (difference in means) depends on variation in data and sample size. Generally as sample size increases margin of error or sampling error decreases The difference between true mean and sample mean sampling error.