NOTE: The numerical values in this problem have been modified for testing purposes. According to the Centers for Disease Control and Prevention, obesity rates among children have increased dramatically over the past three decades, from a low of about 5% to 18% as of 2010. A study examined the effect of familybased foodcounseling sessions provided by trained professionals. The study randomly assigned obese children aged 9 to 12 years to either the counseling intervention or a control group not receiving any food counseling. The children’s weight changes (in pounds, lb) after 15 weeks for both conditions are displayed in the tables below:
Compute the sample means and standard deviations: Intervention Group Mean =....... (+0.001) and SD =........ (+0.001) Control Group Mean =........... (+0.001) and SD =........... (+0.001) Compute the standard error of the mean =......... (+0.001) Compute the tstatistic: =......... (+0.001) This tstatistic has df =............ (+0.1) (Use Software) The pvalue of this tstatistic is = ............(Use Software) (b) Is there strong evidence that obese children receiving food counseling gain less weight over a 15week period? We test:
Conclusion:

data
result
tTest: TwoSample Assuming Equal Variances  
Intervention  control  
Mean  2.409433962  3.47826087 
Variance  27.27894775  18.36086957 
Observations  53  23 
Pooled Variance  24.62762721  
Hypothesized Mean Difference  0  
df  74  
t Stat  4.751481722  
P(T<=t) onetail  4.83802E06  
t Critical onetail  1.665706893  
P(T<=t) twotail  9.67603E06  
t Critical twotail  1.992543495 
Intervention  control  
Mean  2.40943396  3.478261 
sd  5.22292521  4.284959 
standard error  1.239128166  
t  4.75148172  
pvalue  4.83802E06 
hypothesis
We test:
uI < uC 
pvalue for onetailed test = 4.838*10^(6) << 0.05
hence we reject the null hypothesis
conclusion
Yes, there is strong evidence the weight gain was less in the intervention group.
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