Question

1. Jupiter recently introduced her cousin Letecia to one of her colleagues working for the Avocado Park Development Council, whose name is Scheherazade. Letecia has decided to ask Scheherazade out on a date and her goats have jumped in to help. They don’t really understand human romantic customs, but they reason that humans base most of their behavior on money, so they want to start by estimating how much Letecia should expect to spend on a date. They collect a random sample of 52 first dates from residents of Avocado Park and ask how much money the dater spent (they discarded responses of zero as unhelpful). The results of their survey can be found under the questions. Thanks
   1. Identify the population of interest.
   2. Identify the variable of interest. What type of variable is it?
   3. If the goats want to estimate HOW MUCH Letecia should be expected to spend on this date, what parameter should they try to estimate?
   4. If the goats wish to estimate the parameter you chose in part c using a confidence interval, what conditions would need to be met? What assumptions would be necessary?
   5. Estimate the parameter you chose in part c with a confidence level of 90%.
   6. If Letecia can only afford to spend $80 on this date, should she worry that she’ll come off as cheap? Justify your answer.

Date Expense: 43,96, 70, 92, 87, 92, 70, 89, 65, 67, 43, 61, 57, 61, 75, 46, 83, 27, 81, 22, 127, 94, 86, 69, 102, 96, 59, 98, 72, 115, 117, 67, 55, 73, 84, 64, 62, 45, 51, 84, 74, 60, 82, 69, 41, 81, 62, 83, 120, 72, 97, 66

Answer 1

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