1. You are interested in developing a software program targeted at learning a new foreign language. You believe 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.)

Population 1 :

Population 2 :

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

Null hypothesis (in symbol format) :

Research hypothesis (in symbol format) :

Independent Variable :

Dependent Variable:

What is your probability of making a Type I Error?

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

n (number of people in your sample):

(standard error of the mean):

0.78/square root 30= 0.14

Computed Z score:

p value (round to 3 decimal places)

Interpret your result.

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

2.8-2(0.78) and 2.8+2(0.78) = (1.24, 4.36)

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

2.8-3(0.78) and 2.8+3(0.78) = (0.46, 5.14)

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

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