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

MATLAB: An Introduction with Applications
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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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