Located in Warrington, PA Open for lunch and breakfast Sells: › Bagels, Sandwiches, Breads,...

Located in Warrington, PA Open for lunch and

breakfast Sells:

› Bagels, Sandwiches, Breads, Salads/Soups, and Beverages

Owners: › Lisa O’Boyle and Kathy

Braddish

Wanted to find out if food orders at Village Bagel had any association with…› Gender› Type of bagel› Here/to go› Breakfast/lunch› Time › Modifications› Toasted/not toasted

Collected food order tickets from Village Bagel over the course of three days

Separated the tickets by gender into two different bags Collected data from every fifth ticket that we pulled out of

each bag until we had 30 tickets for females and 31 tickets for males

Test of significance and interval:› 1-Sample T-Interval on average time of orders› Chi-Square Test for independence for toasted/not toasted

and bagel type› Chi-Square Test for independence for modifications and

gender› Chi-Square Test for independence for here/to go and

lunch/breakfast› 2 Sample T-Test for time VS. gender

1

2

3

4

5

6

7

8

9

time

01/05/20116:00 8:00 10:00 12:00 14:00 16:00

Collection 2 Histogram

This graph shows that our data was unimodal at 11:30 with a

symmetric shape and slight right skew. It has a gap at 13:00 and a spread of (6:30,14:30). Lastly, the

center of this graph lies around 9:30.

Over the course of three days the busiest

time of day was at 11:30

There were no customers at 13:00

There were the least amount of customers at

10:00 and 12:30 The amount of customers was the

most consistent from 13:30 to 14:30

Histogram for Time of Orders

Pie Chart for Types of Bagels

The most popular bagel was everything with 10 orders

The least popular bagels were egg and cinnamon raisin with one order each

There were 16 bagel flavors ordered out of the 22 types that are offered

Bar Chart for Types of Bagels

2

4

6

8

10

bagel_type

blue

berr

y

brea

d

ched

dar

cinn

amon

cran

berr

y or

ange eg

g

ever

ythi

ng

garli

c

harv

est w

heat

onio

n

plai

n

popp

y

sesa

me

swis

s

who

le g

rain

wra

p

count

Collection 2 Bar Chart

From our data the majority of customers would come into Village Bagel at 11:30

› This could vary on weekends VS. weekdays

Most customers would prefer their order to be on an everything bagel from the

popularity shown in the pie and bar chart

Conditions:› SRS› Normal

population or n ≥ 30

› Population ≥ 10n

Average Time of Orders

Check:› Assumed› n=61› There are more

than 610 time orders

All condition met Student’s T distribution1-Sample T-Interval

Average Time of Orders

)35:10,33:9( AMAMn

st

•We are 95% confident that the true average time of orders made at Village Bagel are

between 9:33 AM and 10:35 AM.•In reoccurring samples of the same size

(n=61), the true average time of orders will catch the interval 95% of the time.

Conditions:› Categorical Data› SRS› All expected cell

counts are ≥ 5

Independence for toasted/not toasted and bagel type

Check:› Yes, bagel type and

toasted/not toasted are categorical

› Assumed› All expected cell

counts are NOT ≥ 5› Although this

check doesn’t meet the requirement, we will still continue with the test

All condition met Chi-Square distributionChi-Square test for independence

Ho: There is no association between toasted/not toasted and bagel type

Ha: There is an association between toasted/not toasted and bagel type


exp

exp)( 22 obsx

7.

)7.1( 256.19...

2.2

)2.24( 2

19.0)1556.19( 2 dfxp

• We fail to reject the Ho because the p-value of .19 is greater than the alpha of 0.05.

• We have sufficient evidence that there is no association between toasted/not toasted and bagel type customers may

prefer to have a certain bagel flavor toasted.


toasted_or_not_toasted

0

2

4

6

8

N

2

4

6

8

T

bagel_type

blu

eberr

y

bre

ad

cheddar

cin

nam

on

cra

nberr

y o

range

egg

every

thin

g

garlic

harv

est w

heat

onio

n

pla

in

poppy

sesam

e

sw

iss

whole

gra

in

wra

p

count


The most popular toasted item the everything bagel

The least popular toasted item was cinnamon raisin, whole grain, and wraps

The most popular not toasted item was bread

The least popular not toasted item cranberry orange, egg, and garlic

Independence for modifications and gender

Ho: There is no association between modifications and gender

Ha: There is an association between modifications and gender


counts are ≥ 5

Check:› Yes,

modifications and gender are categorical


counts are ≥ 5All condition met Chi-Square distributionChi-Square test for independence


exp

exp)( 22 obsx

2.18

)2.1817( 23936.0...

8.18

)8.1820( 2

53.0)13936.( 2 dfxp

• We fail to reject Ho because the p-value of 0.53 is greater than the alpha of 0.05

• We have sufficient evidence that there is no association between gender and modification.

•So, gender may not determine if customers modify their order.

The most popular was to not have any modifications for both males and females

There were more females that made modifications


gender 0

4

8

12

16

20

F

4

8

12

16

20

M

modifications

N Y

count


Independence for here/to go and lunch/breakfast

Ho: There is no association between here/to go and lunch/breakfast

Ha: There is an association between here/to go and lunch/breakfast


counts are ≥ 5

Check:› Yes, here/to go

and lunch/breakfast are categorical


counts are ≥ 5All condition met Chi-Square distributionChi-square test for independence


exp

exp)( 22 obsx

6.19

)6.1921( 27019.0...

4.6

)4.65( 2

4.0)17019.0( 2 dfxp

• We fail to reject Ho because the p-value of 0.4 is greater than the alpha of 0.05

• We have sufficient evidence that there is no association between here/to go and lunch/breakfast.

For breakfast the majority of the customers took their order to go

For lunch the majority of the customers also took their order to go

The most common order was choosing to eat breakfast to go

The least common order was choosing to eat lunch at the restaurant


location

0

5

10

15

20

25

30

here

5

10

15

20

25

30

to go

lunch_or_breakfast

B L

count


Time VS. Gender

Conditions:› 2 independent

SRS› 2 normal

population or n1 and n2 ≥ 30

› pop1 ≥ 10n1 and pop2 ≥ 10n2

Check:› Assumed

independent and random

› n1 and n2 ≥ 30› n1 = 30› n2 = 31

› More than 300 females and 310 malesAll condition met

Student’s T distribution2 sample T-Test

Ho: µ1 = µ2 Ha: µ1 ≠ µ2

Time VS. Gender

= 2.565

031.0)761.54565.2(2 2 dfxp

• We reject Ho because the p-value of 0.013 is less than the alpha of 0.05

• We have sufficient evidence that the average time of females and males orders are not equal.

Female: › There are 5

outliers› There is a median

at11:00› Minimum= 8:30› Maximum= 11:30

Males:› There are no

outliers› There is a median

at 9:00› Minimum= 7:00› Maximum= 15:00

FM

time

01/05/20116:00 7:00 8:00 9:00 10:00 11:00 12:00 13:00 14:00 15:00 16:00

Collection 2 Box Plot

Time VS. Gender

Chi-Square Test for independence for toasted/not toasted and bagel type› There is no association between toasted/not toasted and bagel

type Chi-Square Test for independence for modifications and gender

› There is no association between gender and modification› Gender may not determine if customers modify their order

Chi-Square Test for independence for here/to go and lunch/breakfast› There is no association between here/to go and lunch/breakfast

2 Sample T-Test for time VS. gender› The average time of females and males orders are not equal

Tickets may get mixed up and be unsure of which gender ordered what

People may not care what type of bagel they get their sandwich on

May lose or have tickets thrown out by accident There may not be a large enough sample size to

come to accurate solutions Using only one Village Bagel Company restaurant Restricted to only people in the area Data could have been more accurate with a

larger sample size

Data:› Collecting data was easy because Chelsea

works at Village Bagel› Employees were willing to help us collect

tickets Project:

› Took a lot of time to put everything together

› Fun and enjoyable project

Located in Warrington, PA Open for lunch and breakfast Sells: › Bagels, Sandwiches, Breads,...

Documents

Transcript of Located in Warrington, PA Open for lunch and breakfast Sells: › Bagels, Sandwiches, Breads,...