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A coin operated Parking Meter has the capacity to store 2000 coins. Once it is full and cannot accept any more coins in will stop working. We are particularly interested in the public parking on Elizabeth Street. The number of coins deposited daily by this meter is normally distributed with a mean of 180 and a standard deviation of 45. a. Determine the probability that no more than 280 coins are deposited into the meter on a randomly selected day. b. Determine the probability that no more than 1800 coins are deposited into the meter over a period of eight days. Also briefly explain why the result in part “b" is larger than "a". You must quote a theory in few words. The company has 110 public parking meter around the city. A random sample of 10 meters are surveyed and are found to have an average age of 365 days and a standard deviation of 10 days. c. Find 90% confidence interval for the average age of all meters in the city. Be careful to state any assumptions that you need to make. Explain whether this result in consistent with the company's belief that the average age of all the phones in the city in 365 days. S,

A coin operated Parking Meter has the capacity to store 2000 coins. Once it is full and cannot accept any more coins in will stop working. We are particularly interested in the public parking on Elizabeth Street. The number of coins deposited daily by this meter is normally distributed with a mean of 180 and a standard deviation of 45. a. Determine the probability that no more than 280 coins are deposited into the meter on a randomly selected day. b. Determine the probability that no more than 1800 coins are deposited into the meter over a period of eight days. Also briefly explain why the result in part “b" is larger than "a". You must quote a theory in few words. The company has 110 public parking meter around the city. A random sample of 10 meters are surveyed and are found to have an average age of 365 days and a standard deviation of 10 days. c. Find 90% confidence interval for the average age of all meters in the city. Be careful to state any assumptions that you need to make. Explain whether this result in consistent with the company's belief that the average age of all the phones in the city in 365 days. S,

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A coin operated Parking Meter has the capacity to store 2000 coins. Once it is full and cannot accept any more coins in will stop working. We are particularly interested in the public parking on Elizabeth Street. The number of coins deposited daily by this meter is normally distributed with a mean of 180 and a standard deviation of 45. a. Determine the probability that no more than 280 coins are deposited into the meter on a randomly selected day. b. Determine the probability that no more than 1800 coins are deposited into the meter over a period of eight days. Also briefly explain why the result in part “b" is larger than "a". You must quote a theory in few words. The company has 110 public parking meter around the city. A random sample of 10 meters are surveyed and are found to have an average age of 365 days and a standard deviation of 10 days. c. Find 90% confidence interval for the average age of all meters in the city. Be careful to state any assumptions that you need to make. Explain whether this result in consistent with the company's belief that the average age of all the phones in the city in 365s days.
Transcribed Image Text:A coin operated Parking Meter has the capacity to store 2000 coins. Once it is full and cannot accept any more coins in will stop working. We are particularly interested in the public parking on Elizabeth Street. The number of coins deposited daily by this meter is normally distributed with a mean of 180 and a standard deviation of 45. a. Determine the probability that no more than 280 coins are deposited into the meter on a randomly selected day. b. Determine the probability that no more than 1800 coins are deposited into the meter over a period of eight days. Also briefly explain why the result in part “b" is larger than "a". You must quote a theory in few words. The company has 110 public parking meter around the city. A random sample of 10 meters are surveyed and are found to have an average age of 365 days and a standard deviation of 10 days. c. Find 90% confidence interval for the average age of all meters in the city. Be careful to state any assumptions that you need to make. Explain whether this result in consistent with the company's belief that the average age of all the phones in the city in 365s days.
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