Question 3 At the pizza shop where you work the owner thinks

Question 3: At the pizza shop where you work, the owner thinks the number of pizzas baked and sold differ by day. To test his assumption you gather the following data. Using this information conduct a Chi^2 Test for Goodness of Fit at an alpha of 0.10. What do you conclude? (1 point each for a total of 5 points)

Day

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

Sunday

# Sold

22

27

32

45

51

66

43

Ho:

Ha:

Critical Value for Decision Making:

Calculated Test Statistic:

Conclusion:

Day	Monday	Tuesday	Wednesday	Thursday	Friday	Saturday	Sunday
# Sold	22	27	32	45	51	66	43

Solution

Question 3: At the pizza shop where you work, the owner thinks the number of pizzas baked and sold differ by day. To test his assumption you gather the following data. Using this information conduct a Chi^2 Test for Goodness of Fit at an alpha of 0.10. What do you conclude? (1 point each for a total of 5 points)

Day

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

Sunday

# Sold

22

27

32

45

51

66

43

Ho: The number of pizzas baked and sold are same by day

Ha: The number of pizzas baked and sold differ by day

DF=7-1=6

Critical Value for Decision Making: 10.645

Calculated Test Statistic: 33.84

Goodness of Fit Test

observed

expected

O - E

(O - E)² / E

22

40.860

-18.860

8.705

27

40.860

-13.860

4.701

32

40.860

-8.860

1.921

45

40.860

4.140

0.419

51

40.860

10.140

2.516

66

40.860

25.140

15.468

43

40.860

2.140

0.112

286

286.020

-0.020

33.844

33.844

chi-square

6

df

Conclusion:

Calculated chi square =33.84 >10.645 table value

The null hypothesis is rejected.

We conclude that the number of pizzas baked and sold differ by day.

Day	Monday	Tuesday	Wednesday	Thursday	Friday	Saturday	Sunday
# Sold	22	27	32	45	51	66	43