Question

15. You are the researcher and you develop a hypothesis. It states that by providing relaxation therapy to a group of 10 smokers who average 20 cigarettes a day, you hypothesize that they will reduce the number of cigarettes they smoke after eight weeks of therapy. You will take measurements on the group you have provided relaxation therapy to after eight weeks and the mean is 16 cigarettes. You compare the mean to two other groups who did not receive the relaxation therapy. One group, n=10 received no treatment and averaged 19.7 cigarettes at the end of eight weeks, and the other group, n=10 who was given literature on the negative effects of smoking averaged 18.1 cigarettes after eight weeks. You calculate the means of all groups using the appropriate hypothesis statistic. You hypothesize that there will be a difference in the means after eight weeks. You measure smoking levels after you terminate the therapy to see if there are effects from the independent variable. The obtained test statistic is 12.396 and a p value of 0.000152. You used the alpha level of 0.05.

1. How many groups (K) are involved in this study
2. How many participants do you have in the study n=
3. How many degrees of freedom are there _BG_____   _WG_____Total_____
4. What is the critical value/region of rejection base on an alpha level of .05_______
5. What is the correct test statistic_________
6. What is the independent variable_________
7. What is the dependent variable __________
8. Based on the obtained value, do you reject or fail to reject H0:______

Answer 1

a) How many groups (K) are involved in this study =1

b) How many participants do you have in the study n= 10

c) How many degrees of freedom are there _BG__1___   _WG__8___Total 9

d) What is the critical value/region of rejection base on an alpha level of .05 : if p-value < α

e) What is the correct test statistic 12.396

f) What is the independent variable: relaxation therapy

g) What is the dependent variable : number of cigarettes

h) Based on the obtained value, do you reject or fail to reject H0: reject H0

The reason you made your decision : p-value (0.000152) < α​​​​​​​ (0.05)