Statistical Analysis

[Name of the Institute]

Assignment 1

G r o u p S t a t I s t i c s

According to the definition above have you ever rented a product from a Rent-to-Own store?

N

Mean

Std. Deviation

How important is name brand products

Yes

27

2.333333

0.960769

No

72

3.625

2.303931

I n d e p e n d e n t Sa m p l e s T e s t

 

 

Levene's Test for Equality of Variances

 

 

 

 

t-test for Equality of Means

 

 

 

 

 

 

 

 

 

 

 

 

95% Confidence Interval of the Difference

 

 

 

F

Sig.

t

df

Sig. (2-tailed)

Mean Difference

Std. Error Difference

Lower

Upper

How important is name brand products

Equal variances assumed

22.107

0.00

-2.816

97

0.006

-1.29167

0.4587

-2.20218

-0.38115

 

Equal variances not assumed

 

 

-3.932

95.838

0

-1.29167

0.3285

-1.94375

-0.63959

Independent sample t test elaborates, whether the mean or the average of the two groups is significantly different or not. In our case, we have assumed, that brand name, on an average, is equally important for customers of RTO and those who never rented from RTO.

The null hypothesis or the assumption for our test can also be put as

H0 = the average importance for the customers and non customers of the RTO is same for the brand products.

On the analysis of the p value, which is < 0.05, under equal variance not assumed, we would say that our null hypothesis is rejected and therefore it can be said that on an average the importance of the brand is not equal for the customers and the non customers of RTO.

If we see the t-statistics under the two different assumptions: equal variances and the unequal variances elaborate the ratios of the averages or the mean of the differences to the standard errors, which exists under the two different assumptions. (-1.29167/ 0.45876) = -2.816, (-1.29167/0.3285) = -3.932.

Furthermore we can also see the degree of freedom, which 97, telling us that our sample size is 99, and also that we have 97 values in our final calculations of a statistic analysis, which are free to vary, interchanging each other. These values, include the data from the customers and the non-customers of RTO.

G r o u p S t a t i s t i c s

 

What is your gender?

N

Mean

Std. Deviation

Std. Error Mean

How important is quality

Male

45

4.6

2.35874

0.35162

 

Female

54

4.1667

2.21274

0.30112

I n d e p e n d e n t S a m p l e s T e s t

 

 

Levene's Test for Equality of Variances

 

 

 

 

t-test for Equality of Means

 

 

 

 

 

 

 

 

 

 

 

 

95% Confidence Interval of the Difference

 

 

 

F

Sig.

t

df

Sig. (2-tailed)

Mean Difference

Std. Error Difference

Lower

Upper

How important is quality

Equal variances assumed

0

0.98

1

97

0.35

0.433

0.46

-0.48

1.34676

 

Equal variances not assumed

 

 

1

91.39

0.35

0.433

0.463

-0.49

1.35284

 

 

 

 

 

 

 

 

 

 

 

In the above table, we can see the result of the independent sample t test which has been done to see the importance of the quality in relation with the gender of the customer. In other words, we have to see whether the quality on an average is equally important for both the genders or not.

The null hypothesis or the assumption for our test is

H0 = on an average the importance of the quality is same for both the genders

On the analysis of the p value, which is > 0.05, under equal variance assumed, we would say that our null hypothesis is accepted and therefore it can be said that ...