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 26
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?
enter the lower limit for the interval where 68% of the values
would fall to enter the upper limit for the interval where 68% of
the values would fall
b. If the distribution of time spent on the job is
approximately bell shaped, between what two times would 95% of the
figures be?
enter the lower limit for the interval where 95% of the values
would fall to enter the upper limit for the interval where 95% of
the values would fall
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?
enter the lower limit for the interval where 99.7% of the values
would fall to enter the upper limit for the interval where 99.7% of
the values would fall
d. If the shape of the distribution of times is
unknown, approximately what percentage of the times would be
between 358 and 480 minutes?
enter percentages rounded to 1 decimal place % (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 = enter the z score rounded to 3 decimal places
(Round your answer to 3 decimal
places.)
This worker is in the lower half of workers but within select the
distance from the mean onethreetwo standard deviation of the
mean.
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