In: Statistics and Probability
Question 1. The managing director of Uber Middle East FZ LLC, is to identify the effectiveness of Uber among residents and tourists in Dubai. Based on pilot study, three important factors that may influence the effectiveness of Uber – technology use, safety and security and customer trust.
Table 1: t-Test: Two-Sample Assuming Unequal Variances |
||
Male |
Female |
|
Mean |
4.11 |
25.92 |
Variance |
0.56 |
182.41 |
t Stat |
1.43 |
|
P(T<=t) one-tail |
0.73 |
|
t Critical one-tail |
2.75 |
|
P(T<=t) two-tail |
0.03 |
|
t Critical |
1.02 |
a) What is the hypothesis tested in Table 1, and interpret the results based on 0.05 significance level.
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Answers:
Test: t-Test: Two-Sample Assuming Unequal Variances
Null Hypothesis (H0): There are three important factors that may influence the effectiveness of Uber – technology use, safety
and security, and customer trust.
Alternative Hypothesis (H1): There are three important factors that may not influence the effectiveness of Uber – technology
use, safety and security, and customer trust.
Interpreting the results based on a 0.05 significance level.
Conclusion:
The calculated t-stat is ( 1.47) greater than tabulated t-critical (1.02) i.e
1.47( t-stat) > 1.02 ( t- critical).
In case our Null hypothesis is rejected and the alternative hypothesis is accepted that means there is a significant difference in the means of each sample. i.e
There are three important factors that may not influence the effectiveness of Uber – technology
use, safety and security, and customer trust.