Question

Are the means for the final exams the same 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 |
---|---|---|

72 | 84 | 80 |

83 | 73 | 79 |

76 | 85 | 85 |

81 | 82 | 80 |

82 | 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.

A. Enter an exact number as an integer, fraction, or
decimal.

*df*(*num*) =

B. Enter an exact number as an integer, fraction, or decimal.

*df*(*denom*) =

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

D. What is the *p*-value? (Round your answer to four decimal
places.)

F. What is the alpha? (Enter an exact number as an integer, fraction, or decimal.)

Answer #1

The statistical software output for this problem is:

From above output:

a) df(Num) = **2**

b) df(Denom) = **13**

c) Test statistic = **0.62**

d) p - Value = **0.5549**

e) Alpha = **0.05**

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,...

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News
Health
Computer
168
84
79
99
284
89
151
131
161
121
84
92
202
104
97
205
192
99
94
140
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13
43
37
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68
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collected independently and randomly. Use a level of significance...

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Computer
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110
293
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167
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Mid Score
Final Score
80
78
87
85
72
81
69
54
86
70
83
73
78
89
75
84
74
86
75
79
84
75
73
63
74
72
73
69
80
86
75
78
72
75
77
68
76
77
66
78
74
77
71
73
85
79
74
74
76
79
76
73
84
72
77
81
78
86
86
76
81
83
78
83
85
86
73
71
83
83
83
79
72
68
83
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