T-test

1. Consider a new computer software package developed to help systems analysts reduce the time required to design, develop, and implement an information system. To

evaluate the benefits of the new software package, a random sample of 24 systems

analysts is selected.

Each analyst is given specifications for a hypothetical information system. Then 12 of the

analysts are instructed to produce the information system by using current technology. The

other 12 analysts are trained in the use of the new software package and then instructed to use

it to produce the information system. The researcher in charge of the new software evaluation project hopes to show that the new software package will provide a shorter mean project

completion time.

1. What is the objective of this study? 2. What are dependent and independent variables of this study? Identify their scale of

measurement.

3. What is null and alternative hypothesis of this study? 4. Test the hypothesis at 0.05 level of significance.

2. A study was conducted within a western Australian secondary school to test the effectiveness of using ICT on students’ critical thinking skills. Tests were

administered both before and after the first semester among a randomly

selected students. (Level of significance 0.01). What are the variables used in this analysis and state their scales of measurement

What is the sample size?

Write the appropriate objective, research question; null and alternative hypotheses.

Key the data into the Excel and run an appropriate statistical technique

What is the value of the test statistic? Justify your answer

What would be your decision and justify your answer

What can you conclude based on the analysis?

3. NCP manufactures printers and fax machines at plants located in Atlanta, Dallas, and Seattle. To measure how much employees at these plants know about quality

management, a random sample of six employees was selected from each plant and the

employees selected were given a quality awareness examination. The examination

scores for these 18 employees are shown in below Table. Managers want to use these

data to test the hypothesis that the mean examination score is the same for all three

plants.