FRQ #1: The manager of a local fast-food restaurant is concerned about customers who ask for a water cup when placing an order but fill the cup with a soft drink from the beverage fountain instead of filling the cup with water. The manager selected a random sample of 80 customers who asked for a water cup when placing an order and found that 23 of those customers filled the cup with a soft drink from the beverage fountain. a) Construct and interpret a 95 percent confidence interval for the proportion of all customers who, having asked for a water cup when placing an order, will fill the cup with a soft drink from the beverage fountain. b) The manager estimates that each customer who asks for a water cup but fills it with a soft drink costs the restaurant $0.25. Suppose that in the month of June 3,000 customers ask for a water cup when placing an order. Use the confidence interval constructed in part (a) to give an interval estimate for the cost to the restaurant for the month of June from the customers who ask for a water cup but fill the cup with a soft drink.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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FRQ #1: The manager of a local fast-food restaurant is concerned about *
customers who ask for a water cup when placing an order but fill the cup
with a soft drink from the beverage fountain instead of filling the cup with
water. The manager selected a random sample of 80 customers who
asked for a water cup when placing an order and found that 23 of those
customers filled the cup with a soft drink from the beverage fountain.
a) Construct and interpret a 95 percent confidence
interval for the proportion of all customers who, having asked for a water
cup when placing an order, will fill the cup with a soft drink from the
beverage fountain.
b) The manager estimates that
each customer who asks for a water cup but fills it with a soft drink costs
the restaurant $0.25. Suppose that in the month of June 3,000 customers
ask for a water cup when placing an order. Use the confidence interval
constructed in part (a) to give an interval estimate for the cost to the
restaurant for the month of June from the customers who ask for a water
cup but fill the cup with a soft drink.
Transcribed Image Text:FRQ #1: The manager of a local fast-food restaurant is concerned about * customers who ask for a water cup when placing an order but fill the cup with a soft drink from the beverage fountain instead of filling the cup with water. The manager selected a random sample of 80 customers who asked for a water cup when placing an order and found that 23 of those customers filled the cup with a soft drink from the beverage fountain. a) Construct and interpret a 95 percent confidence interval for the proportion of all customers who, having asked for a water cup when placing an order, will fill the cup with a soft drink from the beverage fountain. b) The manager estimates that each customer who asks for a water cup but fills it with a soft drink costs the restaurant $0.25. Suppose that in the month of June 3,000 customers ask for a water cup when placing an order. Use the confidence interval constructed in part (a) to give an interval estimate for the cost to the restaurant for the month of June from the customers who ask for a water cup but fill the cup with a soft drink.
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