Are the means for the final exams different for all statistics class delivery types? The table below shows the scores on final exams from several randomly selected classes that used the different delivery types. Online Hybrid Face-to-Face 71 83 79 84 73 79 78 84 84 81 81 82 80   86     79     81Assume that all distributions are normal, the three population standard deviations are approximately the same, and the data were collected independently and randomly. Use a level of significance of 0.05. Part (a) State the null hypothesis. H0: ?online = ?hybrid = ?face to face .H0: At least two of the group means ?online, ?hybrid, ?face to face are not equal.     Part (b) State the alternative hypothesis. Ha: ?online = ?hybrid = ?face to face. Ha: At least two of the group means ?online, ?hybrid, ?face to face are not equal.     Part (c) Enter an exact number as an integer, fraction, or decimal. df(num) =

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Are the means for the final exams different for all statistics class delivery types? The table below shows the scores on final exams from several randomly selected classes that used the different delivery types.
Online Hybrid Face-to-Face
71 83 79
84 73 79
78 84 84
81 81 82
80   86
    79
    81
Assume that all distributions are normal, the three population standard deviations are approximately the same, and the data were collected independently and randomly. Use a level of significance of 0.05.
  • Part (a)

    State the null hypothesis.
    H0: ?online = ?hybrid = ?face to face
    .H0: At least two of the group means ?online, ?hybrid, ?face to face are not equal.    
  • Part (b)

    State the alternative hypothesis.
    Ha: ?online = ?hybrid = ?face to face.
    Ha: At least two of the group means ?online, ?hybrid, ?face to face are not equal.    
  • Part (c)

    Enter an exact number as an integer, fraction, or decimal.
    df(num) = 
  • Part (d)

    Enter an exact number as an integer, fraction, or decimal.
    df(denom) = 
  • Part (e)

    State the distribution to use for the test.
    F13,
    15F2, 13 
       F2, 15
    F13, 2
    F15, 13
  • Part (f)

    What is the test statistic? (Round your answer to two decimal places.)
  • Part (g)

    What is the p-value? (Round your answer to four decimal places.)
  • Part (h)

    Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) corresponding to the p-value.
       
       
  • Part (i)

    Indicate the correct decision ("reject" or "do not reject" the null hypothesis) and write appropriate conclusions.
    (i) Alpha (Enter an exact number as an integer, fraction, or decimal.)
    ? = 

    (ii) Decision:
    reject the null hypothesisdo not reject the null hypothesis    

    (iii) Reason for decision:
    Since ? < p-value, we reject the null hypothesis.
    Since ? < p-value, we do not reject the null hypothesis. 
       Since ? > p-value, we do not reject the null hypothesis.
    Since ? > p-value, we reject the null hypothesis.

    (iv) Conclusion:
    There is sufficient evidence to support that the mean scores of the different class delivery types are different.
    There is not sufficient evidence to support that the mean scores of the different class delivery types are different. 
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