Please show steps to answer and explain where needed! Thank you! Nutritionists i
ID: 3360544 • Letter: P
Question
Please show steps to answer and explain where needed! Thank you!
Nutritionists interested in whether two proposed diets., Diet 1 and Diet 2, work equally well in providing weight-loss for customers. In order to assess a difference between the two diets, she puts 50 customers on Diet 1 and 60 other customers on Diet 2 for two weeks. Those on Diet 1 had weight losses with an average of 11 pounds and a standard deviation of 3 pounds, while those on the latter lost an average of 8 pounds and a standard deviation of 2 pounds. Do the diets differ in terms of the weight loss?
Explanation / Answer
Null Hypothesis (H0): H0:0 =1 Alternative hypothesis(H1): H1:0 is not equals to 1 Level of significance: alpha=5% Given Data: x bar 11 y bar 8 n1 50 n2 60 s1 3 s2 2 Test statistic: (Assume unequal variances) t cal= 6.040404 df= 83 t critical value at given level of significant= 1.98896 Conclusion: t cal > t critical value we can Reject Ho. Hence cliam is significant