Principles of Statistics

Principles of Statistics

Data Analysis (Nyke Shoe Company)

To determine any significant differences that may occur between the heights of males and females in the sample we have used the independent samples t - test. The results from the below table shows that there is no such significant difference in the heights of customers [f = 0.763, p = 0.000]. Therefore, this leads to the conclusion that there is no significant difference in the height of the customers whether they are males or females so we cannot reject the null hypothesis.

Independent Samples Test

Levene's Test for Equality of Variances

t-test for Equality of Means

F

Sig.

t

df

Sig. (2-tailed)

Mean Difference

Std. Error Difference

95% Confidence Interval of the Difference

Lower

Upper

Height

Equal variances assumed

.763

.389

4.196

33

.000

4.68627

1.11685

2.41402

6.95853

Equal variances not assumed

4.207

32.962

.000

4.68627

1.11381

2.42010

6.95244

The results obtained from the independent samples t - test shows that there is significant difference in the shoe size of customers [t = 8.270, p = 0.000] for equal variances and [t = 8.165, p = 0.000] for unequal variances i.e. in both the cases our null hypothesis has been rejected. Therefore, we can conclude that there is a significant difference in the shoe size of the customers as males have significantly higher size of shoes as compared with the females.

Independent Samples Test

Levene's Test for Equality of Variances

t-test for Equality of Means

F

Sig.

t

df

Sig. (2-tailed)

Mean Difference

Std. Error Difference

95% Confidence Interval of the Difference

Lower

Upper

Shoe size

Equal variances assumed

3.070

.089

8.270

33

.000

4.18301

.50578

3.15398

5.21203

Equal variances not assumed

8.165

26.649

.000

4.18301

.51230

3.13120

5.23481

Correlation analysis is used to determine the linear relationship between the two variables. In our analysis, the two variables are Height and show size of the customers. The results are showing that there is 86.4% relationship between the height of the customers and their shoe size. The results of this correlation is highly significant because p < 0.05. Thus we can conclude that there is a strong relationship between the variables.

Correlations

Height

Shoe size

Height

Pearson Correlation

1

.864**

Sig. (2-tailed)

.000

N

35

35

Shoe size

Pearson Correlation

.864**

1

Sig. (2-tailed)

.000

N

35

35

**. Correlation ...