21. Teachers want to know the best way to teach typing skills that results in the fewest number of typographical errors. Below are the number of errors in an essay typed by students who were exposed to one of three different teaching methods.Use these samples to answer questions 21-28.

Teaching Method #1 Teaching Method #2 Teaching Method #3

0 1 4

0 4 3

0 1 6

2 0 3

Identify the independent and dependent variables.

22. How many factors are there in this experiment?

23. Which of the following correctly represents the null and alternative hypothesis (MUST SHOW WORK FOR THIS PROBLEM)?

a. H₀: x₁= x₂= x₃

H₁: at least one x is different

b. H₀: 11= 22= 33

H₁: at least one is different

c. H₀: x₁< x₂= x₃

H₁: x₁= x₂= x₃

d. H₀: 11<22=33

H₁: 11=22=3

24. Compute df_between

25. Compute df_within

_{26. Compute F-crit (Using = .05)}

_27. Compute the test statistic(F-obs)(MUST SHOW WORK FOR THIS PROBLEM).

Note: MUST ALSO CONSTRUCT A SOURCE TABLE WITH SS_between, MS_between, SS_within, MS_within, SS_total, df_between, df_within, AND df_totalTO GET FULL CREDIT

28. Based on the calculated test statistic,would you reject the null hypothesis established in question 23(MUST SHOW WORK FOR THIS PROBLEM)?

a. yes

b. no

28. Based on the previously conducted steps,we canconcludethat(MUST SHOW WORK FOR THIS PROBLEM):

a. There is a significant difference in resulting errors based on the teaching method used

b. There is no significant difference in resulting errors based on the essay students wrote

c. There is no significant difference in typing skills based onthe teaching method used

d. Teaching method #1resulted in significantly less errors compared to teaching method #2