Question

In: Statistics and Probability

A student researcher compares the heights of American students and non-American students from the student body...

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 17 American students had a mean height of 70 inches with a standard deviation of 1.73 inches. A random sample of 12 non-American students 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 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 of 3: Find the point estimate that should be used in constructing the confidence interval.

Step 2 of 3: Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places.

Step 3 of 3: Construct the 90% confidence interval. Round your answers to two decimal places.

Solutions

Expert Solution



Related Solutions

A student researcher compares the heights of American students and non-American students from the student body...
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 68.968.9 inches with a standard deviation of 2.712.71 inches. A random sample of 1212 non-American students had a mean height of 65.765.7 inches with a standard deviation of 2.172.17 inches. Determine the 90%90% confidence interval for the true...
A student researcher compares the heights of American students and non-American students from the student body...
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 67.7 inches with a standard deviation of 3.06 inches. A random sample of 17 non-American students had a mean height of 64.7 inches with a standard deviation of 1.97inches. Determine the 90% confidence interval for the true mean...
A student researcher compares the heights of American students and non-American students from the student body...
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 69.9inches with a standard deviation of 2.79inches. A random sample of 12 non-American students had a mean height of 63.8 inches with a standard deviation of 2.31 inches. Determine the 98% confidence interval for the true mean difference...
A student researcher compares the heights of American students and non-american students from the student body...
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 inches with a standard deviation of 3.03 inches. A random sample of 12 non-american students had a mean height of 66.1 inches with a standard deviation of 2.35 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...
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 17 American students had a mean height of 70.8 inches with a standard deviation of 1.99 inches. A random sample of 12 non-American students had a mean height of 63.3 inches with a standard deviation of 2.63 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...
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 17 American students had a mean height of 70 inches with a standard deviation of 2.87 inches. A random sample of 12 non-American students had a mean height of 65.1 inches with a standard deviation of 2.68 inches. Determine the 90% confidence interval for the true...
A student researcher compares the heights of men and women from the student body of a...
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 10 men had a mean height of 71.3 inches with a standard deviation of 2.34 inches. A random sample of 17 women had a mean height of 65.5 inches with a standard deviation of 2.72 inches. Determine the 98% 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...
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 18 men had a mean height of 71.4 inches with a standard deviation of 1.68 inches. A random sample of 10 women had a mean height of 65 inches with a standard deviation of 3.01 inches. Determine the 98% confidence interval for the true mean difference between the...
A student researcher compares the ages of cars owned by students and cars owned by faculty...
A student researcher compares the ages of cars owned by students and cars owned by faculty at a local state college. A sample of 212212 cars owned by students had an average age of 8.588.58 years. A sample of 180180 cars owned by faculty had an average age of 8.958.95 years. Assume that the population standard deviation for cars owned by students is 2.292.29 years, while the population standard deviation for cars owned by faculty is 3.583.58 years. Determine the...
A student researcher compares the ages of cars owned by students and cars owned by faculty...
A student researcher compares the ages of cars owned by students and cars owned by faculty at a local state college. A sample of 104 cars owned by students had an average age of 5.42 years. A sample of 145 cars owned by faculty had an average age of 5.57 years. Assume that the population standard deviation for cars owned by students is 2.69 years, while the population standard deviation for cars owned by faculty is 2.46 years. Determine the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT