You are interested in developing a software program targeted at learning a new foreign language.You think that your new program will allow for faster language learning in adults.Typically it takes people an average of 5 years (= 0.76) to learn a second language.In your sample of 30 adults, this same level of proficiency is achieved in 2.8 years (S = 0.78).(Assume the standard = 0.05.)

Draw a graphical representation of your two distributions (include both distributions on the same graph and label the means on your x axis):

What is the probability of making a Type I Error?

What is the difference between a Type I and Type II Error?

standard error of the mean=

Computed Z score:

p value:

Interpret your result.

Indicate the raw score(s) for a 95% confidence interval around your sample's M.

Indicate the raw score(s) for a 99% confidence interval around your sample's M.

Compute your Effect Size (using Cohen's d):

What is the magnitude of your effect size (i.e., large, medium, small, etc.)