Question

Think of a problem that you may be interested in that deals with a comparison of two population means. Propose either a confidence interval or a hypothesis test question that compares these two means. Gather appropriate data and post your problem (without a solution) in the discussion topic. Once your initial post is complete, respond to your own post with the solution for others to check their work.

CAN SOMEONE GIVE ME A SIMPLE ANSWER THAT i CAN USE FOR MY DISCUSSION QUESTION ON THIS

Answer 1

PROBLEM THAT WE MAY BE INTERESTED IN THAT DEALS WITH A COMPARISON OF TWOPOPULATIONS:

The exact data can be obtained from the boys and girls in the college and the conclusion can be arrived at as discussed in the example below:

Step 1:

Consider in our College, there are 150 girls and 250 boys.

Step 2:

Gather approriate data:

Consider, we collect marks obtained by all the girls and boys in an examination and compute the following statistics:

Statistics	Sample Size	Sample mean ()	SampleSD (s)
Girls	150	75	15
Boys	250	70	20

Step 3:
Research question:Is there a significant difference in the mean scores obtained by boys and girls?

Step 4:
Solution:

H0: Null Hypothesis: 1= 2 (There is no significant difference in scores)

HA: Alternative Hypothesis: 1 2 (There is significant difference in scores)

Test statistic is:
Z = (75 - 70)/1.761=2.64

Since Z is greater than 2.58 at 1% level of significance, we reject null hypothesis.

Conclusion:
There is significant difference in the mean scores of boys and girls.