Question

The mean of the commute time to work for a resident of a certain city is 28.8 minutes. Assume that the standard deviation of the commute time is 8.1 minutes to complete parts (a)-(c). (a) What minimum percentage of commuters in the city has a commute within 2 standard deviations of the mean? (b) What minimum percentage of commuters in the city has a commute within 2.5 standard deviations of the mean? What are the commute times within 2.5 standard deviations of the mean? (c) What is the minimum percentage of commuters who have commute times between 4.5 minutes and 53.1 minutes

Answer #1

The mean of the commute time to work for a resident of a certain
city is 27.3 minutes. Assume that the standard deviation of the
commute time is 7.6 minutes to complete parts (a) through
(c).
(a) What minimum percentage of commuters in the city has a
commute time within 2 standard deviations of the mean?
(b) What minimum percentage of commuters in the city has a
commute time within 2.5 standard deviations of the mean? What are
the commute...

The commute times (amounts of time it takes people to commute
from home to work) for people who live in a large city are
bell-shaped with a mean of 65 minutes and a standard deviation of 9
minutes.
Using the Empirical Rule, what is the approximate percentage of
commute times in this distribution that are greater than 83
minutes?

Suppose commute times in a large city are normally distributed
and that 66.60% of commuters in this city take more than 20 minutes
to commute one-way. If the standard deviation of such commutes is
6.4 minutes, what is the mean commute?

Suppose commute times in a large city are normally distributed
and that 61.00% of commuters in this city take more than 21 minutes
to commute one-way. If the standard deviation of such commutes is
6.4 minutes, what is the mean commute?

9.
The time for a certain male student to commute to SCSU is
Normally Distributed with mean 48.3 minutes and standard deviation
of 7.1 minutes. A random sample of 25 commuting times is taken.
Find the 80th percentile of the sample mean of the commuting
times.
10.
The time for a certain male student to commute to SCSU is
Normally Distributed with mean 48.3 minutes and standard deviation
of 7.1 minutes. A random sample of 25 commuting times is taken....

Among the thirty largest U.S. cities, the mean one-way commute
time to work is 25.8 minutes. The longest one-way travel time is in
New York City, where the mean time is 37.9 minutes. Assume the
distribution of travel times in New York City follows the normal
probability distribution and the standard deviation is 6.9
minutes.
What percent of the New York City commutes are for less than 29
minutes?
What percent are between 29 and 35 minutes?
What percent are...

The time for a certain female student to commute to SCSU is
Normally Distributed with mean 32.5 minutes and standard deviation
of 6.3 minutes.
A. Find the probability her commuting time is more than 40
minutes.
B. Find the probability her commuting time is less than 43
minutes.
C. Find the value t such that 10% of her commuting times are
greater than t.
D. Between which two values will the middle 70% of her commuting
times fall?
E. Find...

The time for a certain female student to commute to SCSU is
Normally Distributed with mean 32.5 minutes and standard deviation
of 6.5 minutes.
Find the probability her commuting time is more than 40
minutes.
Find the probability her commuting time is less than 43
minutes.
Find the value t such that 10% of her commuting times are
greater than t.
Between which two values will the middle 70% of her commuting
times fall?
Find the probability her commuting time...

In a random sample of
88
people, the mean commute time to work was
36.536.5
minutes and the standard deviation was
7.27.2
minutes. A
9898%
confidence interval using the t-distribution was calculated to
be
left parenthesis 28.9 comma 44.1 right
parenthesis(28.9,44.1).
After researching commute times to work, it was found that the
population standard deviation is
8.78.7
minutes. Find the margin of error and construct a
9898%
confidence interval using the standard normal distribution with
the appropriate calculations for a...

Among U.S. cities with a population of more than 250,000
the mean one-way commute
to work is 25 minutes. The longest one-way travel time is
New York City, where the
mean time is 40 minutes. Assume the distribution of travel
times in New York City
follows the normal probability distribution and the
standard deviation is 7.5 minutes.
a. What percent of the New York City commutes are for less
than 30 minutes?
b. What percent are between 30 and 35...

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