Question

A random sample of 30 Suffolk University employees had an
average commute length of 11.7 miles, with a standard deviation of
8.5 miles. What is the 90% confidence interval for the mean
commute length of all Suffolk employees? Use 4 non-zero decimal
places in your calculations.

(a) Find the tα/2 , df

(b) Find σx

(c) Find the margin of error (MoE) and construct the
confidence interval

Answer #1

in
a random sample of 8 people the mean commute time to work was 34.5
minutes and the standard deviation was 7.2 minutes. A 90%
confidence interval using the t distribution was calculated to be
(29.7, 39.3). After researching commute times to work, it was found
that the population standard deviation is 9.2 minutes. Find the
margin of error and construct a 90% confidence interval using the
standard normal distribution with the appropriate calculations for
a standard deviation that is...

In a random sample of 8 people, the mean commute time to work
was 33.5 minutes and the standard deviation was 7.2 minutes. A 90%
confidence interval using the t-distribution was calculated to be
left parenthesis 28.7 comma 38.3 right parenthesis. After
researching commute times to work, it was found that the
population standard deviation is 9.3 minutes. Find the margin of
error and construct a 90% confidence interval using the standard
normal distribution with the appropriate calculations for a...

In a random sample of twelve people, the mean driving distance
to work was 24.5 miles and the standard deviation was 5.2 miles.
Assume the population is normally distributed and use the
t-distribution to find the margin of error and construct a 90%
confidence interval for the population mean μ.
Identify the margin of error.
Construct a 90% confidence interval for the population
mean.

In a random sample of 88 people, the mean commute time to work
was 35.5 minutes and the standard deviation was 7.4 minutes. A 98%
confidence interval using the t-distribution was calculated to be
left (27.7,43.3). After researching commute times to work, it was
found that the population standard deviation is 8.7 minutes. Find
the margin of error and construct a 98% confidence interval using
the standard normal distribution with the appropriate calculations
for a standard deviation that is known....

In a random sample of 8 people, the mean commute time to work
was 35.5 minutes and the standard deviation was 7.4 minutes. A 98%
confidence interval using the t-distribution was calculated to be
left (27.7,43.3).
After researching commute times to work, it was found that the
population standard deviation is 8.7 minutes. Find the margin of
error and construct a 98%
confidence interval using the standard normal distribution with
the appropriate calculations for a standard deviation that is
known....

In a random sample of 8 people, the mean commute time to work
was 35.5 minutes and the standard deviation was 7.3 minutes. A 98%
confidence interval using the t-distribution was calculated to be
(27.8,43.2). After researching commute times to work, it was found
that the population standard deviation is 8.9 minutes. Find the
margin of error and construct 98% confidence interval using the
standard normal distribution with the appropriate calculations for
a standard deviation that is known. Compare the...

In a random sample of 8 people, the mean commute time to work
was 35.5 minutes and the standard deviation was 7.2 minutes. A 95%
confidence interval using the t-distribution was calculated to be
left parenthesis 29.5 comma 41.5 right parenthesis. After
researching commute times to work, it was found that the
population standard deviation is 9.2 minutes. Find the margin of
error and construct a 95% confidence interval using the standard
normal distribution with the appropriate calculations for a...

In a random sample of six people, the mean driving distance to
work was 18.3 miles and the standard deviation was 4.3 miles.
Assume the population is normally distributed and use the
t-distribution to find the margin of error and construct a 90%
confidence interval for the population mean mu. Interpret the
results.
Identify the margin of error.

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...

In a random sample of 28 people, the mean commute time to work
was 33.5 minutes and the standard deviation was 7.3 minutes. Assume
the population is normally distributed and use a t-distribution to
construct a 90% confidence interval for the population mean
muμ.
What is the margin of error ofmuμ?

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