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Math Help - statictics -urgent plz..

  1. #1
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    statictics -urgent plz..

    a chef at a 5-star restaurant makes 8 different desserts. She wants to see if the customers prefer any specific desert to another. She keeps a record of desserts ordered over the course of several weeks. At alpha=0.05, check to see if the desserts being ordered are equally distributed
    Desserts Frequency
    Chocolate Mousse 25
    Baked Alaska 12
    Orange Cheesecake 23
    Caramel Flan 32
    Banana Broulee 40
    Mississippi Mud Pie 20
    Ricotta Cannoli 38
    French Walnut Torte 34

    Find the critical value.
    a. 20.090
    b. 13.362
    c. 14.067
    d. 15.507
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  2. #2
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    Quote Originally Posted by bobby77
    a chef at a 5-star restaurant makes 8 different desserts. She wants to see if the customers prefer any specific desert to another. She keeps a record of desserts ordered over the course of several weeks. At alpha=0.05, check to see if the desserts being ordered are equally distributed
    Desserts Frequency
    Chocolate Mousse 25
    Baked Alaska 12
    Orange Cheesecake 23
    Caramel Flan 32
    Banana Broulee 40
    Mississippi Mud Pie 20
    Ricotta Cannoli 38
    French Walnut Torte 34

    Find the critical value.
    a. 20.090
    b. 13.362
    c. 14.067
    d. 15.507
    Here the null hypothesis H0 is that there is no difference in the frequencies
    that deserts are ordered. Thus you have the table:

    Code:
    Desserts                    Observed Frequency   Expected Freq under H0 
    Chocolate Mousse                  25                           28 
    Baked Alaska                      12                           28
    Orange Cheesecake                 23                           28
    Caramel Flan                      32                           28
    Banana Broulee                    40                           28
    Mississippi Mud Pie               20                           28
    Ricotta Cannoli                   38                           28
    French Walnut Torte               34                           28
    You now need to perform a \chi ^2 test to compare the observed with the
    expected frequencies with \nu = 7

    The critical value of \chi_{\nu=7} ^2 to cut off 95 \% is about 14.1, so the answer is c.

    RonL
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