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A machine used to fill gallon-sized paint cans is regulated so that the amount of paint dispensed has a mean of 135 ounces and a standard deviation of 0.30 ounce. You randomly select 40 cans and carefully mcasure the contents. The sample mean of the cana is 134.9 ounces. Does the machine need to be reset? Explain your reasoning | that you would have randomly sampled 40 cana wih a mean equal to 134.9 ouncs, because of the mean of the sample means. within the range of a usual event, namely within first blank yes or no second blank very unlikely or likely

A machine used to fill gallon-sized paint cans is regulated so that the amount of paint dispensed has a mean of 135 ounces and a standard deviation of 0.30 ounce. You randomly select 40 cans and carefully mcasure the contents. The sample mean of the cana is 134.9 ounces. Does the machine need to be reset? Explain your reasoning | that you would have randomly sampled 40 cana wih a mean equal to 134.9 ouncs, because of the mean of the sample means. within the range of a usual event, namely within first blank yes or no second blank very unlikely or likely

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 7PPS
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A machine used to fill gallon-sized paint cans is regulated so that the amount of paint dispensed has a mean of 135 ounces and a standard deviation of 0.30 ounce. You randomly select 40 cans and carefully measure the contents. The sample mean of the cans is 134.9 ounces. Does the machine need to be reset? Explain your reasoning that you would have randomly sampled 40 cans with a mean equal to 134.9 ounces, because it within the range of a usual it is event, namely within of the mean of the sample means. first blank yes or no second blank very unlikely or likely third blank lies or does not lies fourth blank 1 standard deviation 2 standard deviation or 3 standard deviation The average math SAT score is 521 with a standard deviation of 119. A particular high school claims that its students have unusually high math SAT scores. A random sample of 55 students from this school was selected, and the mean math SAT score was 538. Is the high schoal justified in its claim? Explain. because the z-score Dis within the range of a usual event, namely within of the mean of the since it sample means. (Round to two decimal places as needed.) first blank yes or no second. third blank very unlikely or likely fourth blank lies or does not lies fifth blank 1 standard deviation 2 standard deviation or 3 standard deviation
Transcribed Image Text:A machine used to fill gallon-sized paint cans is regulated so that the amount of paint dispensed has a mean of 135 ounces and a standard deviation of 0.30 ounce. You randomly select 40 cans and carefully measure the contents. The sample mean of the cans is 134.9 ounces. Does the machine need to be reset? Explain your reasoning that you would have randomly sampled 40 cans with a mean equal to 134.9 ounces, because it within the range of a usual it is event, namely within of the mean of the sample means. first blank yes or no second blank very unlikely or likely third blank lies or does not lies fourth blank 1 standard deviation 2 standard deviation or 3 standard deviation The average math SAT score is 521 with a standard deviation of 119. A particular high school claims that its students have unusually high math SAT scores. A random sample of 55 students from this school was selected, and the mean math SAT score was 538. Is the high schoal justified in its claim? Explain. because the z-score Dis within the range of a usual event, namely within of the mean of the since it sample means. (Round to two decimal places as needed.) first blank yes or no second. third blank very unlikely or likely fourth blank lies or does not lies fifth blank 1 standard deviation 2 standard deviation or 3 standard deviation
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