Question

The owner of two fast-food restaurants has recorded customer satisfaction ratings for both locations on a scale of 1 to 5. ( 5 most satisfied) The table linked below summarizes the data.

RATING	Restaurant A	Restaurant B
1	5	18
2	14	18
3	7	16
4	32	14
5	17	14

A. What is the mean for Restaurant A?

B. What is the mean for Restaurant B?

C. What is the standard deviation for Restaurant A?

D. What is the standard deviation for Restaurant B?

E. What conclusions can be drawn from these results?

F. Restaurant A has (higher or Lower)average customer satisfaction ratings than the ones in Restaurant B. Customer satisfaction ratings for Restaurant A are

(more or less) consistent when compared with ones in Restaurant B.

Answer 1

Ans:

A)

RATING(x)	Restaurant A(f)	x*f	(x-3.56)^2*f
1	5	5	32.768
2	14	28	34.0704
3	7	21	2.1952
4	32	128	6.1952
5	17	85	35.2512
Total=	75	267	110.48

Mean=267/75=3.56

C)Standard deviation for A=sqrt(110.48/75)=1.21

B)

RATING(x)	Restaurant B(f)	x*f	(x-2.85)^2*f
1	18	18	61.605
2	18	36	13.005
3	16	48	0.36
4	14	56	18.515
5	14	70	64.715
Total=	80	228	158.2

Mean=228/80=2.85

D)

standard deviation for B=sqrt(158.2/80)=1.41

E)Restaurant A has larger mean rating and standard deviation for A is lower than B.

F)

Restaurant A has higher average customer satisfaction ratings than the ones in Restaurant B.

Customer satisfaction ratings for Restaurant A are more consistent when compared with ones in Restaurant B.