Question

Question 11 3 pts Use a 0.05 significance level to test the claim that weights of babies born to mothers given placebos vary more than weights of babies born to mothers given zinc supplements. Use the following statistics: Placebo group (1): n= 16,7 = 3,088 g, s = 728 g Treatment group (2): n-16, X = 3,214 g, s = 669 g A What is the null hypothesis? i. Ho: 01 02 ii. Ho: 01 202 iii. Ho: 01 02 iv. Ho: 01/0221 v. None of the above. B What is the test F statistic (to 2 decimal places)? C. What is the p-value (to 2 decimal places)? D. Does the Placebo group have a greater variance than the Treatment group? vi. Yes vii. No HTML Editora

Answer 1

a)

iii. Ho: σις σε

b)

Hₒ : σ₁ = σ₂  
H₁ : σ₁ > σ₂  
Test statistic:  
F = s₁² / s₂² = 728² / 669² =    1.18

c)

Degree of freedom:  
df₁ = n₁-1 =    15
df₂ = n₂-1 =    15
Critical value(s):  
Upper tailed critical value, FU = F.INV.RT(0.05, 15, 15) =    2.4034
      
P-value = F.DIST.RT(1.1842, 15, 15) =    0.37

d)

Conclusion:  
As p-value > α, we fail to reject the null hypothesis.  

No

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