Question

1. Irritable bowel syndrome (IBS) is a nonspecific intestinal disorder characterized by abdominal pain and irregular bowel habits. Each person in a random sample of 24 patients having periodic attacks of IBS was randomly assigned to one of three treatment groups, A, B, and C. The number of hours of relief while on therapy is recorded for each patient in the table below.

   		Treatment
   	A	B	C
   	11.2	11.6	23.1
   	8.0	12.5	9.9
   	8.1	10.6	12.1
   	10.9	11.6	13.0
   	12.3	13.9	13.3
   	9.9	8.6	11.0
   	9.1	18.9	15.2
   	15.0	19.1	15.9
   sample mean	10.5625	13.35	14.1875
   sample variance	5.4913	14.4486	16.9270

   question 1Give the value of the analysis of variance test statistic used to test H₀: μ_A = μ_B = μ_C.

1 points

Question 2

1. What's the critical value if the .10 significance level is used?

1 points

Question 3

1. What's the p-value?

1 points

Question 4

1. What's the decision using the .05 significance level?

   		Reject H0
   		Don't Reject H0
   		Reject HA
   		Don't Reject HA

Answer 1

Q.1 ) Test statistics F = 2.34 (Rounded to two decimal places)

Q.2) We have given =0.10 Hence we get Critical value F_critical = 2.57 (Rounded to two decimal places)

Q.3) From the ANOVA table we get P value = 0.1205 (Rounded to four decimal places)  

Decision rule :

If p value then reject H0.

If p value > then fail to reject H0.

Here p value is greater than 0.05 Hence we fail to reject H0.

Hence Don't Reject H₀

Hope this will help you. Thank you :)