1) Using a random sample of 100 workers, researchers calculate a 95% confidence interval for the average hourly wage earned by construction workers in the city of Boston. This interval they calculate is from $18 to $26.
Does this mean we can say that roughly 95% of construction workers in the city earn hourly wages between $18 and $26?
A) We cannot answer with Yes or No here
B) Yes, 95% of the wages fall between $18 to $26
C) No, we are 95% confident that the average wage falls between $18 to $26
2) A hotel has 180 rooms. Past experience shows that only 84% of people who reserve rooms actually show up. If the hotel takes 200 reservations, what is the chance there will be enough rooms for the people who actually show up?
(Hint: You want to find the chance that, in the sample of 200 reservations, the percentage of those who show up will be 90% (180/200) or less, knowing that true population percentage is 84%.)
A) Approximately 95% chance
B) Approximately 99% chance
C) Approximately 99.5% chance
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