Question

For this problem, collect data on any variables of interest (sample size for each group of the two groups n=>30) and perform a two-sided significance test for comparing two independent population means. You can also simulate your own data. Address the following:

a. A brief introductory paragraph describing the problem. Remember that you want to think of an experiment where you’re comparing 2 independent groups, such as, for example, “the population mean speed for runners using training method A versus runners using training method B.” There is a clinical trial of a drug that is supposed to significantly reduce you cholesterol and the two groups

b. Set up your framework in a null and alternative hypothesis using symbols and notation as they are presented in the textbook. For the null, traditionally should have the general set-up of H0: µ1 = µ2 An example of this could be “µA = the population mean speed for runners using method A is equal to µB = the population mean speed for runners using method B.” H1: can have a <, or >, or ≠ depending on what you choose to test. Using the example above, if you want to test that A is greater than B, then do: H1: µA > µB

c. A paragraph describing how you collected the data (i.e., the number of observations, time of day, etc. Please present the raw data in a table.

d. Create a graph of the means of the two samples using Excel. Clearly label your axes, and give your figure a title.

e. A section explaining the results of the analysis (calculated statistics, and p-values). Based on what you find, state your decision (whether you reject or fail to reject the H0) and conclusion (whether you have sufficient or insufficient evidence for H1).

f. Describe how would you change the experimental design to become dependent or related samples? Think about which factors you could possibly control for that weren’t controlled for in the initial analysis. For example, instead of comparing 2 independent groups of runners using method A vs. B, we could “match” runners across groups according to age, experience, education, height, etc. This approach is more complicated, but worth describing how it could be done.

Answer 1

Given that, collect data on any variables of interest (sample size for each group of the two groups n = > 30) and perform a two-sided significance test for comparing two independent population means. (a) A brief introductory paragraph describing the problem. We consider the famous sleep dataset. In this test, there are 2 drugs and it is needed to find out which of them gives extra sleep. Each drug is tested on 10 patients. (b) Set up your framework in a null and alternative hypothesis using symbols