Question

1- In a study done by Statistics Weekly, they found that 12% of people believe that there will eventually be a zombie apocalypse. Suppose we have a random sample of 500, would it be unusual to find 43 people who believe that there will eventually be a zombie apocalypse. Would it be unusual to find 70 people who believe that there will eventually be a zombie apocalypse?

2-The age at the time of marriage was obtained for a random sample of 10 women. The results were 28, 24, 22, 25, 33, 35, 27, 26, 27, 20. Assume that the population has a normal distribution. Find a 90% confidence interval for the mean age at which a woman marries. Interpret your answer.

3- A study conducted at a certain college shows that 54% of the school’s graduates move to a different state after graduating. Find the probability that among 7 randomly selected graduates, at least one moves to a different state after graduating.

4- If a flight is on time 90% of the time, use a normal approximation to the binomial to find the probability that between 175 and 190 out of a total of 200 flights will be on time.

Answer 1