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14. The mean lifetime of a wristwatch is 25 months, with a standard deviation of 5 months. If the distribution is normal, for how many months should a guarantee be made if the manufacturer does not want to exchange more than 10% of the watches? Assume the variable is normally distributed.

14. The mean lifetime of a wristwatch is 25 months, with a standard deviation of 5 months. If the distribution is normal, for how many months should a guarantee be made if the manufacturer does not want to exchange more than 10% of the watches? Assume the variable is normally distributed.

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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II. Applications of Normal Distributions. erage number of calories in a 1.5-ounce chocolate bar is 225. Suppose that the distribution mately normal with s =10. Find the probability that a rene plate 1 of calories S bar will have; a. Between 200 and 220 b. L an 200 calories 12. The average waiting time to be seated for dinner at a popular restaurant is 23.5 minutes, with a standardtation of 3.6 minutes. Assume the variable is normally distributed When a patron arrives at the restaurant To er find the probability that the patron wie to wait the following time. a. Between 15 and 22 minutes b. Less to minutes or more than 25 minutes 13. To qualify for a police academy applicants are given a test of physical fitness. The scores are normally distribute with a mean or 04 and a standard deviation of 9. If only the top 20% of the applicants are selected, find the cutoff score. 14. The mean lifetime of a wristwatch is 25 months, with a standard deviation of 5 months. If the distribution is normal, for how many months should a guarantee be made if the manufacturer does not want to exchange more than 10% of the watches? Assume the variable is normally distributed. 15. To help students improve their reading, a school district decides to implement a reading program. It is to be administered to the bottom 5% of the students in the district, based on the scores on a reading achievement exam. If the average score for the students in the district is 122.6, find the cutoff score that will make a student eligible for the program. The standard deviation is 18. Assume the variable is normally distributed.
Transcribed Image Text:II. Applications of Normal Distributions. erage number of calories in a 1.5-ounce chocolate bar is 225. Suppose that the distribution mately normal with s =10. Find the probability that a rene plate 1 of calories S bar will have; a. Between 200 and 220 b. L an 200 calories 12. The average waiting time to be seated for dinner at a popular restaurant is 23.5 minutes, with a standardtation of 3.6 minutes. Assume the variable is normally distributed When a patron arrives at the restaurant To er find the probability that the patron wie to wait the following time. a. Between 15 and 22 minutes b. Less to minutes or more than 25 minutes 13. To qualify for a police academy applicants are given a test of physical fitness. The scores are normally distribute with a mean or 04 and a standard deviation of 9. If only the top 20% of the applicants are selected, find the cutoff score. 14. The mean lifetime of a wristwatch is 25 months, with a standard deviation of 5 months. If the distribution is normal, for how many months should a guarantee be made if the manufacturer does not want to exchange more than 10% of the watches? Assume the variable is normally distributed. 15. To help students improve their reading, a school district decides to implement a reading program. It is to be administered to the bottom 5% of the students in the district, based on the scores on a reading achievement exam. If the average score for the students in the district is 122.6, find the cutoff score that will make a student eligible for the program. The standard deviation is 18. Assume the variable is normally distributed.
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