# statistics

posted by .

The mean GPA (grade point averagE. of all male students at a college is 2.77 and the mean GPA of all female students at the same college is 2.89. Suppose we take one sample of 40 male students and another sample of 50 female students from this college. What is the mean of the sampling distribution of the difference between the mean GPAs of these two samples?

how would I solve this problem.

• statistics -

No matter what the standard deviation of the distributions is, the mean of the GPA of both samples will be the weighted mean, which is
4/9 * 2.77 + 5/9 * 2.89.
This equals 2.84.

• statistics -

The questioner doesn't want the weighted mean, she wants the mean of the difference. This is equal to the difference between the means, or 0.12.

## Similar Questions

1. ### statistics

Assuming that the population variances are equal for Male and Female GPA’s, test the following sample data to see if Male and Female PhD candidate GPA’s (Means) are equal. Conduct a two-tail hypothesis test at á =.01 to determine …
2. ### Statistics

The standard deviation of GPAs (grade point averages) of all male students at a college is .35 and the standard deviation of GPAs of all female students at the same college is .34. Suppose we take one sample of 40 male students and …
3. ### statistics

14) You wish to compare the average GPA of students from one department to another. It is assumed that the distributions of GPA in both departments are normally distributed and that the overall standard deviation of GPA is the same …
4. ### statistics

In a study of the effect of college student employment on academic performance, the following summary statistics for GPA were reported for a sample of students who worked and for a sample who did not work.( university of central florida …
5. ### college stats

can someone please explain the steps: suppose that the grade point average,denoted by X,of a university student is Normally distributed with the mean 2.786 and standard deviation 0.375 A). a student is on the deans list if her GPA …

A local college cafeteria has a self-service soft ice-cream machine. The cafeteria provides bowls that can hold up to 16 ounces of ice-cream. The food service manager is interested in comparing the average amount of ice-cream dispensed …
7. ### Statistics

An instructor hy pothesizes that the mean of the final ex am grades in her statistics class is larger for the male students than that it is for the female students. The data from the final ex am for the last semester are presented …
8. ### Statistics

The average grade point average(GPA)of undergraduate students in New York is normally distributed with a population mean of and a population standard deviation of. Compute the following, 1)The percentage of students with GPA'S between …
9. ### Statistics

`The average grade point average (GPA) of undergraduate students in New York is normally distributed with a population mean of 2.5 and a population standard deviation of 0.4. Compute the following, showing all work: 1) The percentage …
10. ### Statsistics

You are testing the claim that the mean GPA of night students is less than the mean GPA of day students. You sample 45 night students, and the sample mean GPA is 2.18 with a standard deviation of 0.31 You sample 30 day students, and …

More Similar Questions