Question

Is a statistics class' delivery type a factor in how well students do on the final exam? The table below shows the average percent on final exams from several randomly selected classes that used the different delivery types.

Online	Hybrid	Face-to-Face
69	62	65
68	55	69
69	72	68
74	77	59
55	87	81
88	91	85
91	78	94
79	58
55

Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.01.

1. For this study, we should use what type of test?

• 
  
• Your friend Ricky helped you with the null and alternative hypotheses...
  H0: μ1=μ2=μ3
• H1:At least one of the mean is different from the others.
• 
  
• The test-statistic for this data = (Please show your answer to 3 decimal places.)
• 
  
• The p-value for this sample = (Please show your answer to 4 decimal places.)
• 
  
• The p-value is greater than or less than α?
• 
  
• Base on this, we should reject or fail to reject the null hypothesis?
• 
  
• As such, the final conclusion is that...
  • There is sufficient evidence to support the claim that course delivery type is a factor in final exam score.
  • There is insufficient evidence to support the claim that course delivery type is a factor in final exam score.

Answer 1