Team Project Template

8/12/2019 Team Project Template

1/8

Question 1:

Happy Hotel:

Bin Frequency

0 12 194 246 198 22

10 15More 0

Lucky Hotel:

Bin Frequency0 02 124 23

6 298 23

10 13More 0

0

5

10

15

20

25

30

0 2 4 6 8 1 0

M o r e

F r e q u e n c y

Bin

Histogram

Frequency

0

5

10

15

20

25

30

35

0 2 4 6 8 1 0

M o r e

F r e q u e n c y

Bin

Histogram

Frequency


2/8

Question 2:

Happy Hotel:

Column1

Mean 4.737Standard Error 0.2732803Median 4.45Mode 2Standard Deviation 2.7328032Sample Variance 7.4682131Kurtosis -1.139073Skewness 0.0595343Range 9.6Minimum 0Maximum 9.6Sum 473.7Count 100

Lucky Hotel:

Column1

Mean 5.049Standard Error 0.235649Median 4.8Mode 5.8Standard Deviation 2.356487Sample Variance 5.553029Kurtosis -0.73968Skewness 0.016599Range 9.5Minimum 0.1Maximum 9.6Sum 504.9Count 100

Comment:

The mean of data y which is 5.049 is higher than the mean of data x which is 4.737suggesting that the average level of satisfaction of customers for Lucky Hotel is quitehigher than for Happy Hotel. Moreover, the average satisfaction level in Happy Hotel is

lower than the average in scale of 10 which is very noticeable. Median measures the middle point of the data set. 50% of customers (50 customers in

100 ones) choose satisfaction level for Happy Hotel higher than 4.45 whereas 4.8 inLucky Hotel. Median of satisfaction level of Lucky Hotel is slightly higher, but both ofthem are lower than average in scale of 10 (5/10) which suggests a not very goodpicture.

Mode is about the most frequent data point. As above, level of 2 is the most frequentsatisfaction level for Happy Hotel and level of 5.8 for Lucky Hotel is completely higher.


3/8

Question 3:

Happy Hotel:

Lucky Hotel:

Comparison:

As the whisker and box above, Happy Hotel has lower minimum point (0) compared to0.1 of Lucky Hotel. The maximum point for both the two Hotels is 9.6.

Lucky Hotel has a higher median of satisfaction level (4.8) compared to Happy Hotel(only 4.45) suggests that on average, customers are satisfied more with Lucky Hotel.

The lowest 25% (Q1) as well as highest 25% (Q3) of Happy Hotel are both smaller thanof Lucky Hotel.

The higher range, the less consistent of data. However, in general, both 2 hotels have anapproximate range, only 0.1 larger in Happy Hotel.

About the box, the box of Lucky Hotel data seems very smaller, so that the middle halfof customer satisfactions are more consistent.

Overall, the whisker and box indicates that customers are more satisfied with LuckyHotel in general.


4/8

Question 4:

Happy Hotel:

Confidence Interval for Meanusing t from Infinite Population

or with Replacement

Lower limit = 4.1353Upper Limit = 5.3387

Margin for Error (Half Width) = 0.6017

Sample Mean = 4.7370Sample Standard Deviation = 2.7328

% Confidence Interval = 97%

Sample Size = 100

Lucky Hotel:

Confidence Interval for Meanusing t from Infinite Population

or with Replacement

Lower limit = 4.5301Upper Limit = 5.5679


Sample Mean = 5.0490Sample Standard Deviation = 2.3565


Sample Size = 100

The 97% confidence interval for the mean satisfaction levels of the guests in Happy Hotel isbetween 4.1353 and 5.3387.

The 97% confidence interval for the mean satisfaction levels of the guests in Lucky Hotel isbetween 4.5301 and 5.5679.

Question 5:

According to the interpretation above, with 97% level of confidence, lower limits of 2 hotels are bothhigher than 3.5 (consider point whether the hotel will be in Performance List)- 4.1353 and 4.5301 forHappy and Lucky Hotel respectively. Therefore, none of them can be in Performance list with 97% ofconfidence.


5/8

Question 6:

Happy Hotel:

Confidence interval for

Population ProportionLower Limit = 0.3219Upper Limit = 0.5781


Successes = 45Trials = 100


pi-hat = 0.45

Lucky Hotel:

Confidence interval for

Population ProportionLower Limit = 0.3612Upper Limit = 0.6188


Successes = 49Trials = 100


pi-hat = 0.49 The 99% confidence interval of proportion of acceptable ratings for Happy Hotel is between

0.3219 and 0.5781. The 99% confidence interval of proportion of acceptable ratings for Lucky Hotel is between

0.3612 and 0.6188.

Question 7:

According to interpretation above, with 99% level of confidence, upper limit for Lucky Hotel is 0.6188higher than the proportion require to be given Performance award. However, the Happy Hotel is not invery good situation, its upper limit for 99% level of confidence is only 0.5781. This means there is morechance for Lucky Hotel to win Performance award rather than Happy Hotel.


6/8

Question 8:

Independent variable (x): Happy Hotel data

Dependent variable (y): Lucky Hotel Data

Regression Statistics

Multiple R 0.758819R Square 0.575806Adjusted R Square 0.571478Standard Error 1.542594Observations 100

ANOVA

df SS MS F

Significance

FRegression 1 316.5495 316.5495 133.0265 5.92E-20Residual 98 233.2004 2.379596Total 99 549.7499

COEFFICENT TABLESCoefficient

sStandard

Error t StatP-

valueLower95%

Upper95%

Lower95.0%

Upper95.0%

Intercept 1.949453 0.3098656.29130

68.84E

-091.33453

72.56436

91.33453

72.56436

9X Variable1 0.654327 0.056732

11.53371

5.92E-20

0.541745

0.766909

0.541745

0.766909

0

5

10

15

4 . 8

3 . 9

2 . 9

6 . 7

8 . 8

5 . 6

1 . 3

7 . 2

7 . 8

5 . 3

0 . 4

5 . 4

2 . 8

Y

X Variable 1

X Variable 1 Line Fit Plot

Y

Predicted Y


7/8

Question 9:

As the information above, we have:

b1: 0.654327 b0: 1.949453

Sample Regression Function (SRF): y^= 1.949453+ 0.654327x

If Ms Complexus, a guest at Happy Hotel who gave 7.5 as the satisfaction result in her survey, then thesatisfaction level she would give to Lucky Hotel if she was stay there soon is estimated to be 6.8569055 (applying SRF y= 1.949453 + 0.654327 x 7.5= 6.8569055 )

Question 10:

Multiple R: r = 0.758819 (coefficient of determinant)r = 0.758819 means that 75.8819% the variability of satisfaction level of Lucky Hotel isaccounted for by the variability of satisfaction level of Happy Hotel.

R square: r 2 = 0.575806 (coefficient of correlation)Combine r 2= 0.575806 which is higher than 0.5 and the slope b1= 0.654327 which is greater than0, we can conclude that the satisfaction level of Lucky hotel is affected by satisfaction level ofHappy Hotel quite strongly negatively.

Standard errors: S e= 1.542594 (standard errors of estimation)Standard error tells us how the error of a regression model spread out. Error terms are normallydistributes, according to empirical rule, the standard errors of estimation (S e) suggests that 68%of the residual are within (+/-) S e which is 1.542594. Similarly, 95% of residuals are within(+/)2S e which is 3.085188 and 99.7% of residuals are distributed within (+/-)3S e which is4.627782.

Question 11:

Coefficient of the slope measures the change in the average value of Lucky Hotel satisfactionlevel as a result of every unit change in Happy Hotel satisfaction level.

Coefficient of the slope of this SRF (b1) is 0.654327 which means with an increase in 1 unit ofsatisfaction that a customer gives to Happy Hotel can result in a 0.654327 unit increase insatisfaction level he will give for Lucky Hotel. It is totally a positive relationship cause (b1 >0).


8/8

Question 12:

The p- value corresponding to the slope in this study is 5.92E-20 = 5.9*10 -20 . This p-value in the context of the study means that that probability of getting the population

slope at least as extreme as the observed sample slope computed under the assumption that

the H o (=0)is true.

Question 13:

As we have concluded above that the relationship between satisfaction level of the 2 hotels is positive.So this test will be one upper tail test.

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