According to a study conducted by a university, children who are injured seven or more times tend to sustain these injuries during a relatively limited time, usually 1 year or less. Let the average number of injuries per year for school-age children be seven (a) Calculate the mean and standard deviation for x, the number of injuries per year sustained by a school-age child. (Round your answers to three decimal places.) injuries injuries (b) According to Tchebysheff's Theorem, within what limits would you expect the number of injuries per year to fall at least three-quarters of the time? (Round your answer up to the nearest whole number.) 1 injury to injuries
According to a study conducted by a university, children who are injured seven or more times tend to sustain these injuries during a relatively limited time, usually 1 year or less. Let the average number of injuries per year for school-age children be seven (a) Calculate the mean and standard deviation for x, the number of injuries per year sustained by a school-age child. (Round your answers to three decimal places.) injuries injuries (b) According to Tchebysheff's Theorem, within what limits would you expect the number of injuries per year to fall at least three-quarters of the time? (Round your answer up to the nearest whole number.) 1 injury to injuries
Chapter1: Making Economics Decisions
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![**Study of Injuries in School-Age Children**
According to a study conducted by a university, children who are injured seven or more times tend to sustain these injuries during a relatively limited time, usually 1 year or less. Let the average number of injuries per year for school-age children be seven.
**(a)** Calculate the mean and standard deviation for \( x \), the number of injuries per year sustained by a school-age child. (Round your answers to three decimal places.)
\[ \mu = \_\_\_\_\_ \text{ injuries} \]
\[ \sigma = \_\_\_\_\_ \text{ injuries} \]
**(b)** According to Tchebysheff's Theorem, within what limits would you expect the number of injuries per year to fall at least three-quarters of the time? (Round your answer up to the nearest whole number.)
\[ 1 \text{ injury to} \_\_\_\_\_ \text{ injuries} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9175f245-2e1a-4def-805b-da74e3897838%2F47e39f64-f904-41a2-816b-d1b8cac9c097%2Fr5fkxgc_processed.png&w=3840&q=75)
Transcribed Image Text:**Study of Injuries in School-Age Children**
According to a study conducted by a university, children who are injured seven or more times tend to sustain these injuries during a relatively limited time, usually 1 year or less. Let the average number of injuries per year for school-age children be seven.
**(a)** Calculate the mean and standard deviation for \( x \), the number of injuries per year sustained by a school-age child. (Round your answers to three decimal places.)
\[ \mu = \_\_\_\_\_ \text{ injuries} \]
\[ \sigma = \_\_\_\_\_ \text{ injuries} \]
**(b)** According to Tchebysheff's Theorem, within what limits would you expect the number of injuries per year to fall at least three-quarters of the time? (Round your answer up to the nearest whole number.)
\[ 1 \text{ injury to} \_\_\_\_\_ \text{ injuries} \]
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