Question

The new Dunkin store in Pleasant Hills has just opened and records were kept for three weeks; the store manager wanted to know if thee store sold statistically equal amounts of donuts as follows: Glazed sugar Maple Crème Jelly 1236 1423 1684 1200 1356 What type of testing should be done ? a. Regression test b. Goodness of fit test c. Anova test d. Contingency table e. A combination of test a and test c f. None of these

Answer 1

The store manager wanted to know if the store sold statistically equal amounts of donuts.

here the donuts sold is given as:

1236 1423 1684 1200 1356

Glazed	sugar	Maple	Crème	Jelly
1236	1423	1684	1200	1356

Here total donuts sold is equal to 6899 which gives the expected number of each donuts to be sold = 6899 / 5 = 1379.8

So, to test if the store sold statistically equal amounts of donuts, we need to use b. Goodness of fit test.

Ho: the store sold statistically equal amounts of donuts.

Ha: the store doesn't sold statistically equal amounts of donuts.

Here Chi-squre test statistics =

= 107.245

P- value = = 0.000

so we have sufficient evidence to reject the null hypothesis

Hence the store doesn't sold statistically equal amounts of donuts.