Homework SourseAre the ice cream flavors at a Baskin Robbins equally repres
Are the ice cream flavors at a Baskin Robbins equally represented across customers? The table below shows the 6 flavors and the number of people who buy them. The null hypothesis is: ice cream flavors are equally represented by customers. Test this null hypothesis at the .05 level of significance.
Flavor | Number of Customers
Chocolate | 25
Strawberry | 42
Vanilla | 40
Mint | 43
Cake batter | 46
Cookie dough | 44
What is the expected frequency for cookie dough?
What is the critical chi-square value?
What value of the chi-square did you compute?
What is the conclusion -- reject or accept the null hypothesis?
Are the ice cream flavors at a Baskin Robbins equally represented across customers? The table below shows the 6 flavors and the number of people who buy them. The null hypothesis is: ice cream flavors are equally represented by customers. Test this null hypothesis at the .05 level of significance.
Flavor | Number of Customers
Chocolate | 25
Strawberry | 42
Vanilla | 40
Mint | 43
Cake batter | 46
Cookie dough | 44
What is the expected frequency for cookie dough?
What is the critical chi-square value?
What value of the chi-square did you compute?
What is the conclusion -- reject or accept the null hypothesis?
Flavor | Number of Customers
Chocolate | 25
Strawberry | 42
Vanilla | 40
Mint | 43
Cake batter | 46
Cookie dough | 44
What is the expected frequency for cookie dough?
What is the critical chi-square value?
What value of the chi-square did you compute?
What is the conclusion -- reject or accept the null hypothesis?
Solution
total number of flavors = 6; total frequency =240;
expected frequency for cookie dough =240/6 =40;
degrees of freedom =6-1 =5
chi-square critical value at 5 df with 0.05 level is 11.07
Chi-square statistic value computation:
chi-square computed value 7.25
since chi-square computed value is less than chi-square significant value (11.07) we accept the null hypothesis which is ice cream flavors are equally represented by customers
| flavor | observed | expected | Chi-square component |
| chocolate | 25 | 40 | 5.625 |
| strawberrry | 42 | 40 | 0.1 |
| Vanilla | 40 | 40 | 0 |
| Mint | 43 | 40 | 0.225 |
| Cakebatter | 46 | 40 | 0.9 |
| Cookie dough | 44 | 40 | 0.4 |
| Total | 240 | 240 | 7.25 |
