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According to a Human Resources report, a worker in the industrial countries spends on average 419 minutes a day on the job. Suppose the standard deviation of time spent on the job is 30 minutes. a. If the distribution of time spent on the job is approximately bell shaped, between what two times would 68% of the figures be? 389 to 449 b. If the distribution of time spent on the job is approximately bell shaped, between what two times would 95% of the figures be? 359 to 479 c. If the distribution of time spent on the job is approximately bell shaped, between what two times would 99.7% of the figures be? 329 to 509 d. If the shape of the distribution of times is unknown, approximately what percentage of the times would be between 361 and 477 minutes? % (Round the intermediate values to 3 decimal places. Round your answer to 1 decimal place.) e. Suppose a worker spent 400 minutes on the job. What would that worker's z score be, and what would it tell the researcher? Z Score = (Round your answer to 3 decimal places.) This worker is in the lower half of workers but within + standard deviation of the mean. one

According to a Human Resources report, a worker in the industrial countries spends on average 419 minutes a day on the job. Suppose the standard deviation of time spent on the job is 30 minutes. a. If the distribution of time spent on the job is approximately bell shaped, between what two times would 68% of the figures be? 389 to 449 b. If the distribution of time spent on the job is approximately bell shaped, between what two times would 95% of the figures be? 359 to 479 c. If the distribution of time spent on the job is approximately bell shaped, between what two times would 99.7% of the figures be? 329 to 509 d. If the shape of the distribution of times is unknown, approximately what percentage of the times would be between 361 and 477 minutes? % (Round the intermediate values to 3 decimal places. Round your answer to 1 decimal place.) e. Suppose a worker spent 400 minutes on the job. What would that worker's z score be, and what would it tell the researcher? Z Score = (Round your answer to 3 decimal places.) This worker is in the lower half of workers but within + standard deviation of the mean. one

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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According to a Human Resources report, a worker in the industrial countries spends on average 419 minutes a day on the job. Suppose the standard deviation of time spent on the job is 30 minutes. a. If the distribution of time spent on the job is approximately bell shaped, between what two times would 68% of the figures be? 389 to 449 b. If the distribution of time spent on the job is approximately bell shaped, between what two times would 95% of the figures be? 359 to 479 c. If the distribution of time spent on the job is approximately bell shaped, between what two times would 99.7% of the figures be? 329 to 509 d. If the shape of the distribution of times is unknown, approximately what percentage of the times would be between 361 and 477 minutes? % (Round the intermediate values to 3 decimal places. Round your answer to 1 decimal place.) e. Suppose a worker spent 400 inutes on the job. What would that worker's z score be, and what would it tell the researcher? Z Score = (Round your answer to 3 decimal places.) This worker is in the lower half of workers but within standard deviation of the mean. one
Transcribed Image Text:According to a Human Resources report, a worker in the industrial countries spends on average 419 minutes a day on the job. Suppose the standard deviation of time spent on the job is 30 minutes. a. If the distribution of time spent on the job is approximately bell shaped, between what two times would 68% of the figures be? 389 to 449 b. If the distribution of time spent on the job is approximately bell shaped, between what two times would 95% of the figures be? 359 to 479 c. If the distribution of time spent on the job is approximately bell shaped, between what two times would 99.7% of the figures be? 329 to 509 d. If the shape of the distribution of times is unknown, approximately what percentage of the times would be between 361 and 477 minutes? % (Round the intermediate values to 3 decimal places. Round your answer to 1 decimal place.) e. Suppose a worker spent 400 inutes on the job. What would that worker's z score be, and what would it tell the researcher? Z Score = (Round your answer to 3 decimal places.) This worker is in the lower half of workers but within standard deviation of the mean. one
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