In: Math
9. During the past six years, **** has graduated a population average of µ = 43 percent of the freshmen who were admitted with a population standard deviation of σ = 5. An experimental new advising program was tried on a sample of n = 49 students and an average of M = 45 percent graduated within six years. Perform a hypothesis test to determine if significantly MORE students in the new advising program graduated when compared to the population mean. Please follow the four steps and compute the effect size (cohen’s d), and please interpret the results. (Note: one-tailed hypotheses test should be performed)
a. T=2.8, reject null. Cohen’s d=0.5, medium effect.
b. Z=2.8, failed to reject null. Cohen’s d=0.8, small effect.
c. T=2.8, reject null. Cohen’s d=0.2, large effect.
d. Z=2.8, reject null. Cohen’s d=0.5, medium effect.
ANSWER:
Given that,
Correct option is C.
Population mean =
Population standard deviation =
Sample size= n= 49
Sample mean =
Claim : Determine of this new advising program has an effect on graduating more student .
Hypothesis :
VS
Test statistics :
Effect size =
Decision : So here 2.8 has large effect . Reject H0.
Note : d=0.2,small effect
d=0.5,medium effect.
d =0.8,large
effect.
Conclusion : We conclude that new advising program has an effect on graduating more student .
-------------------------------------
Claim : Determine if the birth weight for women
receiving the new prental care program
is significantly
different from birth weight for women living in poverty.
Hypothesis : vs
Population mean =
Sample standard deviation = S=500
Sample size= n =25
Sample mean =
Effect Size :
Decision : This indicated large effect , reject H0 .
Conclusion : We conclude that , the birth
weight for women receiving the new prental care program
is significantly
different from birth weight for women living in poverty.