Question

An investigator wants to test the effectiveness of a new weight loss medication at reducing BMI (kg/m²). Suppose the following table represents the results from a SRS of individuals enrolled in the study. Assume a normal approximation is acceptable. (α=.05)(6 points)

Patient	BMI Pre-Test (kg/m2)	BMI Post-Test (kg/m2)
A	30.5	26.5
B	32.8	28.5
C	35.6	28.4
D	34.7	25.7
E	33.9	29.4

A) What type of test design is this?

B) Write our your null and alternative hypotheses. H₀:µ_d=____  ,H_a: µ_d≠___

C) Calculate a t_{stat.  (example answer#.##)}

D) t-crit =

E) pvalue=

G) Reject or Failed to reject the null Hypothesis:

H) Construct a 95% confidence interval, and provide an interpretation. Does your interval further support your decision in the hypothesis test above?  (example answer #.####, #.####)

SHOW WORK NO TECHNOLOGY

Answer 1

A) experimental design

B) Let us denote the difference

d = BMI Pre-Test - BMI Post-Test

Conclusion : There is enough evidence to support the claim that new weight loss medication is significantly effective at reducing BMI (kg/m²)

H)

Since lower bound of the confidence interval > 0, so at 95% level of confidence or at 5% level of significance, we can conclude that average difference is significantly greater than 0 that means there is enough evidence to support the claim that new weight loss medication is significantly effective at reducing BMI (kg/m²)