Question

In an effort to promote a new product, a marketing firm asks participants to rate the effectiveness of ads that varied by length (short, long) and by type of technology (static, dynamic, interactive). Higher ratings indicated greater effectiveness.

Source of Variation |
SS |
df |
MS |
F |
---|---|---|---|---|

Length | 10 | |||

Technology | ||||

Length × Technology | 142 | |||

Error | 570 | 114 | ||

Total | 802 |

(a) Complete the *F*-table and make a decision to retain
or reject the null hypothesis for each hypothesis test. (Assume
experimentwise alpha equal to 0.05.)

Source of Variation |
SS |
df |
MS |
F |
---|---|---|---|---|

Length | 10 | |||

Technology | ||||

Length × Technology |
142 | |||

Error | 570 | 114 | ||

Total | 802 |

Answer #1

SOURCE OF VARIATION | S.S | D.F | M.S | F CAL | P value |

LENGTH | 10 | =2-1=1 | 10/1=10 | 10/5=2 | 0.160025 |

TECHNOLOGY | 80 | =3-1=2 | 80/2=40 | 40/5=8 | 0.000561 |

LENGTHX TECHNOLOGY | 142 | 2*1=2 | 142/2=71 | 71/5=14.2 | 0.00000 |

ERROR | 570 | 114 | 570/114=5 | ||

TOTAL | 802 | 119 |

alpha= 0.05

NULL HYPOTHESIS H0:

ALTERNATIVE HYPOTHESIS HA:

F= M.S(LENGTH)/M.S(ERROR)

= 10/5= 2

P VALUE (F= 2, DF1=1 AND DF2= 114) = 0.160025

P value >0.05 henec not significant at0.05.

CONCLUSION: SINCE P VALUE NOT SIGNIFICANT AT 0.05 LEVEL OF SIGNIFICANCE DO NOT REJECT NULL HYPOTHESIS H0.

NULL HYPOTHESIS H0:

ALTERNATIVE HYPOTHESIS HA: At least one mean is not equal.

alpha= 0.05

F= M.S(TECHNOLOGY)/M.S(ERROR)

= 40/5= 8

P VALUE (F= 8, DF1=2 AND DF2= 114) =0.000561

P value <0.05 henec significant at0.05.

CONCLUSION: SINCE P VALUE SIGNIFICANT AT 0.05 LEVEL OF SIGNIFICANCE REJECT NULL HYPOTHESIS H0. Therefore at least one mean is different.

NULL HYPOTHESIS H0: There is no interaction between length and technology.

ALTERNATIVE HYPOTHESIS HA: There is interaction between length and technology.

alpha= 0.05

F= M.S(LENGTHXTECHNOLOGY)/M.S(ERROR)

= 71/5= 14.2

P VALUE (F= 14.2, DF1=2 AND DF2= 114) =0.00000

P value <0.05 henec significant at0.05.

CONCLUSION: SINCE P VALUE IS SIGNIFICANT THEREFORE WE REJECT NULL HYPOTHESIS AND COCNLUDE THAT THERE IS AN INTERACTION BETWEEN LENGTH AND TECHNOLOGY.

In an effort to promote a new product, a marketing firm asks
participants to rate the effectiveness of ads that varied by length
(short, long) and by type of technology (static, dynamic,
interactive). Higher ratings indicated greater effectiveness.
Source of Variation SS df MS F Length 15 Technology Length ×
Technology 154 Error 570 114 Total 869 (a) Complete the F-table and
make a decision to retain or reject the null hypothesis for each
hypothesis test. (Assume experimentwise alpha equal...

In an effort to promote a new product, a marketing firm asks
participants to rate the effectiveness of ads that varied by length
(short, long) and by type of technology (static, dynamic,
interactive). Higher ratings indicated greater effectiveness.
Source of Variation
SS
df
MS
F
Length
10
Technology
Length ×
Technology
142
Error
570
114
Total
802
(a) Complete the F-table and make a decision to retain
or reject the null hypothesis for each hypothesis test. (Assume
experimentwise alpha equal...

In an effort to promote a new product, a marketing firm asks
participants to rate the effectiveness of ads that varied by length
(short, long) and by type of technology (static, dynamic,
interactive). Higher ratings indicated greater effectiveness.
Source of Variation
SS
df
MS
F
Length
5
Technology
Length ×
Technology
150
Error
570
114
Total
855
(a) Complete the F-table and make a decision to retain
or reject the null hypothesis for each hypothesis test. (Assume
experimentwise alpha equal...

In an effort to promote a new product, a marketing firm asks
participants to rate the effectiveness of ads that varied by length
(short, long) and by type of technology (static, dynamic,
interactive). Higher ratings indicated greater effectiveness.
Source of Variation
SS
df
MS
F
Length
10
Technology
Length ×
Technology
156
Error
570
114
Total
826
(a) Complete the F-table and make a decision...

In an effort to promote a new product, a marketing firm asks
participants to rate the effectiveness of ads that varied by length
(short, long) and by type of technology (static, dynamic,
interactive). Higher ratings indicated greater effectiveness.
Source of Variation
SS
df
MS
F
Length
15
Technology
Length ×
Technology
152
Error
570
114
Total
827
(a) Complete the F-table and make a decision...

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Seasonal affective disorder (SAD) is a type of depression during
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Seasonal affective disorder (SAD) is a type of depression during
seasons with less daylight (e.g., winter months). One therapy for
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improve mood. A researcher tests this therapy by exposing a sample
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