In a study to determine which factors predict who will benef

In a study to determine which factors predict who will benefit from treatment for bulimia nervosa, an article indicates that self-esteem was one of these important predictors. The table gives the mean and standard deviation of self-esteem scores prior to treatment, at posttreatment, and during a follow-up.

Use a test of hypothesis to determine whether there is sufficient evidence to conclude that the true pretreatment mean is less than 26. (Use = 0.05. Round your answers to three decimal places.)

1-2. Null and alternative hypotheses:

H₀: 26 versus H_a: = 26

H₀: = 26 versus H_a: 26   

H₀: = 26 versus H_a: < 26

H₀: < 26 versus H_a: > 26

H₀: < 26 versus H_a: = 26

3. Test statistic:  t =  


5. Conclusion:

H₀ is rejected. There is sufficient evidence to indicate that the pretreatment mean is less than 26.H₀ is rejected. There is insufficient evidence to indicate that the pretreatment mean is less than 26.    H₀ is not rejected. There is sufficient evidence to indicate that the pretreatment mean is less than 26.H₀ is not rejected. There is insufficient evidence to indicate that the pretreatment mean is less than 26.

Solution

TO test,

H0: = 26 versus Ha: < 26

3. Test statistic:  t = -4.49

5. Conclusion:

H0 is rejected. There is sufficient evidence to indicate that the pretreatment mean is less than 26.