# statictics -urgent plz..

• Jan 2nd 2006, 10:15 PM
bobby77
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
• Jul 2nd 2006, 05:41 AM
CaptainBlack
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
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