What is the purpose of Levene’s Test?

Project description
Coursework Brief

For this coursework you are required to perform an independent samples t-test using SPSS. Your solution should be word-processed and submitted electronically. Your solution should include any output produced from the analysis, and an account of the methods you used to obtain that output.

The problem:

150 students, selected at random from the students studying Business Management at Level 1 in Welsh universities, took part in an Entrepreneurship Project and were marked on a scale of 0 to 100. They were also asked to record whether they had studied Business at A-level or equivalent standard before entering university. Our analysis is carried out with the expectation that those who have studied Business previously will have an advantage in the project.

The data are in the SPSS datafile Entrepreneur.

Perform a suitable independent samples t-test on this data.

You should address the following questions, explaining your answers in detail:

(a)What is the population from which this sample was drawn?
(b)What is the purpose of Levene’s Test? Explain why it is important that Levene’s Test is included in the output for this independent samples t-test

(c)What is the Null hypothesis for Levene’s Test?
(d)Do we accept or reject the null hypothesis for Levenes Test? Explain why.
(e)Which of the two t-tests labelled Equal variances assumed and Equal variances not assumed should we use? Explain why.

(f)In order to apply the t-test, what assumption do we make about the distribution of the errors?
(g)What is the null hypothesis for the t-test?
(h)Do we accept or reject the null hypothesis for the t-test? Explain why.

(i)Is it appropriate to use a one-tailed or two-tailed test here? Explain why.
(j)What overall conclusion can we draw from this output? include a reference to the minimum difference between the marks of students who have or have not studied Business at A-Level that you would expect to find in the population.

Key Marking criteria will include:

Accuracy of the calculations

Appropriateness of the methodology

Clarity and conciseness of the descriptions of the methodology

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