1. ## 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
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

2. 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
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
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 $\displaystyle \chi ^2$ test to compare the observed with the
expected frequencies with $\displaystyle \nu = 7$

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

RonL