Question

In a study of the time it takes a person to learn the basics of a new language between Rosetta Stone and a university course the following results were obtained:

                             University Course                    Rosetta Stone

                             n = 13                                      n = 16

                             x=195.3                                x=202.5

                             s = 6.4                                      s = 9.8

As these populations are independent of each other at the 0.05 significance level:

a) Test the claim that each method of learning takes a person the same amount of time to learn the basics of a new language (μ1=μ2). Use the critical value method.

b) Construct a 95% confidence interval for the difference μ1-μ2.

c) Do the confidence interval and the hypothesis test reveal the same results?

Answer 1

I have provide the solution step by step.

T test for difference of mean swill be used.

degrees of freedom are n1+n2-2=27

Please upvote If I am able to help you

Thanks,