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 by male students to the average amount dispensed by female students. A measurement devise was placed on the ice-cream machine to determine the amounts dispensed. Random samples of 85 male and 78 female students who got ice-cream were selected. The sample averages were 7.23 and 6.49 ounces for the male and female students, respectively. Assume that the population standard deviations are 1.22 and 1.17 ounces, respectively.

Question

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 by male students to the average amount dispensed by female students. A measurement devise was placed on the ice-cream machine to determine the amounts dispensed. Random samples of 85 male and 78 female students who got ice-cream were selected. The sample averages were 7.23 and 6.49 ounces for the male and female students, respectively. Assume that the population standard deviations are 1.22 and 1.17 ounces, respectively.

Let μ1 and μ2 be the population means of ice-cream amounts dispensed by all male and female students at this college, respectively. What is the point estimate of μ1 - μ2 ?

what should be the values for u1 and u2 since pop mean is not given in the problem.

Answer 1

The sample mean is a point estimate of the population mean μ.

You have two sample means, which are 7.23 and 6.49. Find the difference between the two means for your point estimate of µ1 - µ2.

Answer 2

In the given problem, the population means (μ1 and μ2) are not provided. However, we can use the sample averages (x̄1 = 7.23 and x̄2= 6.49) as point estimates for the population means.

So, the point estimate of μ1 - μ2 would be x̄1 - x̄2.

Therefore, the point estimate of μ1 - μ2 is 7.23 - 6.49 = 0.74 ounces.

Answer 3

In this problem, the population means μ1 and μ2 represent the average amount of ice-cream dispensed by all male and female students at the college, respectively. Since the population mean is not given directly in the problem, we will use the sample averages as estimates for the population means.

Let x̄1 and x̄2 be the sample averages (7.23 and 6.49 ounces) for the ice-cream amounts dispensed by male and female students, respectively. The point estimate of μ1 - μ2 is calculated by subtracting the sample averages:

Point Estimate = x̄1 - x̄2

Therefore, the point estimate of μ1 - μ2 is 7.23 (sample average for male students) minus 6.49 (sample average for female students):

Point Estimate = 7.23 - 6.49 = 0.74 ounces

So, the point estimate of μ1 - μ2 is 0.74 ounces.

The sample mean is a point estimate of the population mean μ.

Good

In the given problem, the population means (μ1 and μ2) are not provided. However, we can use the sample averages (x̄1 = 7.23 and x̄2= 6.49) as point estimates for the population means.

In this problem, the population means μ1 and μ2 represent the average amount of ice-cream dispensed by all male and female students at the college, respectively. Since the population mean is not given directly in the problem, we will use the sample averages as estimates for the population means.