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An experiment was carried out to test the effects on yields of five varieties of corn and five types of fertilizer. For each variety-fertilizer combination, six plots were used and the yields...

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An experiment was carried out to test the effects on yields of five varieties of corn and five types of fertilizer. For each variety-fertilizer combination, six plots were used and the yields recorded, with the results shown in the following table:

a. Test the null hypothesis that the population mean yields are the same for all five varieties of corn.

b. Test the null hypothesis that the population mean yields are the same for all five brands of fertilizer.

c. Test the null hypothesis of no interaction between variety and fertilizer.

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Answered 462 days After Jan 15, 2022

Solution

Komalavalli answered on Apr 23 2023
28 Votes
Sheet1
    Fertilizer type        A        B        C        D        E
    1    75    77    74    67    93    90    79    83    72    77
        79    83    73    65    87    82    87    88    79    83    81.4666666667
        85    78    79    80    86    88    86    90    78    86
    2    80    72    71    69    84    88    77    82    70    75
        76    73    75    62    90    79    84    87    80    80
        70    74    77    63    83    80    82    83    74    81
    3    85    87    76    73    88    94    81    86    77    83
        80    79    77    70    89    86    90    90    87    79
        87    80    83    80    89    93    87    88    86    88
    4    80    79    74    77    86    87    80    77    79    85
        82    77    69    78    90    85    90    84    88    80
        85    80    74    76    83    88    80    88    87    82
    5    75    79    75    80    92    88    82    78    80    87
        86    82    84    80    89    94    85    86    90    83
        79    83    72    77    86    90    82    89    86    83
Q1
        75    90
        79    82                t-Test: Paired Two Sample for Means
        85    88
        80    88                    Variable 1    Variable 2
        76    79                Mean    79.1    83.8
        70    80                Variance    45.6    25.2
        85    94                Observations    75.0    75.0
        80    86                Pearson Co
elation    0.3
        87    93                Hypothesized Mean Difference    81.5
        80    87                df    74.0
        82    85                t Stat    -102.6
        85    88                P(T<=t) one-tail    0.0
        75    88                t Critical one-tail    1.7
        86    94                P(T<=t) two-tail    0.0
        79    90                t Critical two-tail    2.0
        77    79
        83    87                Here we reject null hypothesis and accept alternate hypothesis that mean yields are not same for the 5 varities of...
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