Question

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 1818 American students had a mean height of 68.168.1 inches with a standard deviation of 3.133.13 inches. A random sample of 1212 non-American students had a mean height of 64.364.3 inches with a standard deviation of 1.841.84 inches. Determine the 99%99% confidence interval for the true mean difference between the mean height of the American students and the mean height of the non-American students. Assume that the population variances are equal and that the two populations are normally distributed.

Step 1: Find the point estimate that should be used in constructing the confidence interval.

Step 2: Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places.

Step 3: Construct the 99%99% confidence interval. Round your answers to two decimal places.

Answer #1

The statistical software output for this problem is:

Step -1: Point estimate = **3.8**

Step - 2: Margin of error = (6.5782232 - 1.021777)/2 =
**2.778223**

Step - 3: 99% confidence interval:

**(1.02, 6.58)**

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...

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 67.9
inches with a standard deviation of 2.08 inches. A random sample of
18 non-American students had a mean height of 64 inches with a
standard deviation of 1.62 inches. Determine the 99 % confidence
interval for the...

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 69
inches with a standard deviation of 2.57 inches. A random sample of
17 non-American students had a mean height of 64.8 inches with a
standard deviation of 2.12 inches. Determine the 90% 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 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 18 American students had a mean height of 70.8
inches with a standard deviation of 2.69 inches. A random sample of
12 non-American students had a mean height of 63.4 inches with a
standard deviation of 3.05 inches. Determine the 95% 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 71.3
inches with a standard deviation of 2.43 inches. A random sample of
18 non-American students had a mean height of 65.6 inches with a
standard deviation of 3.19 inches. Determine the 99% 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 69.6
inches with a standard deviation of 2.96 inches. A random sample of
18 non-American students had a mean height of 64.2 inches with a
standard deviation of 1.64 inches. Determine the 95% confidence
interval for the true...

A student researcher compares the heights of men and women from
the student body of a certain college in order to estimate the
difference in their mean heights. A random sample of 1212 men had a
mean height of 69.469.4 inches with a standard deviation of
3.043.04 inches. A random sample of 1717 women had a mean height of
64.864.8 inches with a standard deviation of 2.482.48 inches.
Determine the 95%95% confidence interval for the true mean
difference between the...

A student researcher compares the heights of men and women from
the student body of a certain college in order to estimate the
difference in their mean heights. A random sample of 17 men had a
mean height of 70 inches with a standard deviation of 1.73 inches.
A random sample of 12 women had a mean height of 66 inches with a
standard deviation of 2.23 inches. Determine the 90% confidence
interval for the true mean difference between the...

A student researcher compares the heights of men and women from
the student body of a certain college in order to estimate the
difference in their mean heights. A random sample of 15 men had a
mean height of 70.7 inches with a standard deviation of 3.24
inches. A random sample of 88 women had a mean height of 63.4
inches with a standard deviation of 2.44 inches. Determine the 98%
confidence interval for the true mean difference between the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 46 minutes ago

asked 47 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago