Question

A student researcher compares the ages of cars owned by students and cars owned by faculty at a local state college. A sample of 8484 cars owned by students had an average age of 5.78 years. A sample of 118 cars owned by faculty had an average age of 5.79 years. Assume that the population standard deviation for cars owned by students is 2.39 years, while the population standard deviation for cars owned by faculty is 3.27 years. Determine the 98%confidence interval for the difference between the true mean ages for cars owned by students and faculty.

Step 1 of 3 :

Find the point estimate for the true difference between the population means.

Answer #1

Since , the population standard deviatios are known.

Therefore , use normal distribution.

Part 1 of 3 :

The point estimate for the true difference between the population means is ,

Part 2 of 3 :

Now , ; From standard normal distribution table

Therefore , the margin of error is ,

Part 3 of 5 :

The 98%confidence interval for the difference between the true mean ages for cars owned by students and faculty is ,

A student researcher compares the ages of cars owned by students
and cars owned by faculty at a local state college. A sample of 98
cars owned by students had an average age of 8.57 years. A sample
of 146 cars owned by faculty had an average age of 8.1 years.
Assume that the population standard deviation for cars owned by
students is 2.89 years, while the population standard deviation for
cars owned by faculty is 3.85 years. Determine the...

A student researcher compares the ages of cars owned
by students and cars owned by faculty at a local State College. A
sample of 98 cars owned by students had an average age of 8.39
years. A sample of 80 cars owned by faculty had an average age of
5.03 years. Assume that the population standard deviation for cars
owned by students is 2.93 years, while the population standard
deviation for cars owned by faculty is 3.42 years. Determine the...

A student researcher compares the ages of cars owned by students
and cars owned by faculty at a local state college. A sample of 263
cars owned by students had an average age of 7.25 years. A sample
of 291 cars owned by faculty had an average age of 7.12 years.
Assume that the population standard deviation for cars owned by
students is 3.77 years, while the population standard deviation for
cars owned by faculty is 2.99 years. Determine the...

A student researcher compares the ages of cars owned by students
and cars owned by faculty at a local state college. A sample of 263
cars owned by students had an average age of 7.25 years. A sample
of 291 cars owned by faculty had an average age of 7.12 years.
Assume that the population standard deviation for cars owned by
students is 3.77 years, while the population standard deviation for
cars owned by faculty is 2.99 years. Determine the...

A student researcher compares the ages of cars owned by students
and cars owned by faculty at a local state college. A sample of 224
cars owned by students had an average age of 5.06 years. A sample
of 233 cars owned by faculty had an average age of 7.19 years.
Assume the standard deviation is known to be 3.42 years for age of
cars owned by students and 2.81 years for age of cars owned by
faculty. Determine the...

A student researcher compares the ages of cars owned by students
and cars owned by faculty at a local state college. A sample of
233233 cars owned by students had an average age of 6.626.62 years.
A sample of 280280 cars owned by faculty had an average age of
7.947.94 years. Assume that the population standard deviation for
cars owned by students is 2.132.13 years, while the population
standard deviation for cars owned by faculty is 3.143.14 years.
Determine the...

A student researcher compares the ages of cars owned by students
and cars owned by faculty at a local state college. A sample of 233
cars owned by students had an average age of 6.62 years. A sample
of 280 cars owned by faculty had an average age of 7.94 years.
Assume that the population standard deviation for cars owned by
students is 2.13 years, while the population standard deviation for
cars owned by faculty is 3.14 years. Determine the...

A group of university students are interested in comparing the
average age of cars owned by students and the average age of cars
owned by faculty. They randomly selected 25 cars that are own by
students and 20 cars that are owned by faculty. The average age and
standard deviation obtained from the studentsâ€™ cars are 6.78 years
and 5.21 years, respectively. The sample of faculty cars produced a
mean and a standard deviation of 5.86 years, and 2.72.
At...

A student researcher
compares the heights of American students and non-American students
from the student body of a certain college in order to estimate the
difference in their mean heights. A random sample of 18 American
students had a mean height of 70.5 inches with a standard deviation
of 2.26 inches. A random sample of 12 non-American students had a
mean height of 65.8 inches with a standard deviation of 2.44
inches. Determine the 98% confidence interval for the true...

A student researcher compares the heights of American students
and non-American students from the student body of a certain
college in order to estimate the difference in their mean heights.
A random sample of 12 American students had a mean height of 70.7
inches with a standard deviation of 2.41 inches. A random sample of
17 non-American students had a mean height of 62.7 inches with a
standard deviation of 3.07 inches. Determine the 98% confidence
interval for the true...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago