he following table provides some survey data on the preference scores of 100 people about their opinion on different aspects of public transportation system. The survey used a scale of ‘1’ (not important) to ‘5’ (Most important) for each transportation system. The ‘t’ and ‘p-values’ are generated by performing a ‘t’-test of the Null Hypothesis of indifference (neither important, nor unimportant) Ho: ? = 3.0 against HA: ? ≠3.0 for α = 0.05. Please answer the following questions on the table statistics to demonstrate your ability to interpret data analyzing a survey. Variable Mean SD t p - value Travelling Time & Schedule 3.50 2.00 2.50 < 0.05 Travelling Expense (Fare) 3.25 2.25 1.11 > 0.10 Traffic Volume (Seating capacity, Congestion) 2.50 1.80 2.78 < 0.01 Security 1.40 1.70 9.41 < .001 i. By analyzing the Mean and SD of the survey data, explain which one of the four ‘mean preferences’ seems to have been measured more precisely – i.e. the peoples’ average opinion is not likely to change if this survey is replaced? ii. What message do the t and p-values convey regarding the reliability of the peoples’ average opinion toward the four different choices? iii. Does the survey data indicate stronger opinion in favor of the Travelling Time & Schedule as compared to Travelling Expense (Fare), and explain your logic?
The following table provides some survey data on the preference scores of 100 people about their opinion on different
aspects of public transportation system. The survey used a scale of ‘1’ (not important) to ‘5’ (Most important) for each
transportation system. The ‘t’ and ‘p-values’ are generated by performing a ‘t’-test of the Null Hypothesis of indifference
(neither important, nor unimportant) Ho: ? = 3.0 against HA: ? ≠3.0 for α = 0.05. Please answer the following questions
on the table statistics to demonstrate your ability to interpret data analyzing a survey.
Variable
Travelling Time & Schedule 3.50 2.00 2.50 < 0.05
Travelling Expense (Fare) 3.25 2.25 1.11 > 0.10
Traffic Volume (Seating capacity, Congestion) 2.50 1.80 2.78 < 0.01
Security 1.40 1.70 9.41 < .001
i. By analyzing the Mean and SD of the survey data, explain which one of the four ‘mean preferences’ seems to
have been measured more precisely – i.e. the peoples’ average opinion is not likely to change if this survey is
replaced?
ii. What message do the t and p-values convey regarding the reliability of the peoples’ average opinion toward the
four different choices?
iii. Does the survey data indicate stronger opinion in favor of the Travelling Time & Schedule as compared to
Travelling Expense (Fare), and explain your logic?
iv. What does it mean when the p-value for ‘Travelling Expense (Fare)’ indicates ‘NS’? Please explain your
understanding about the ‘NS’ (non-significant) results.
v. Is the ‘Security’ statistically more significant than the other three systems? Please explain you understanding
based on the mean, standard deviation, t and p-values associated with the System
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