There are 2 assumptions that must be satisfied for the independent samples t-test to be valid. What are these two assumptions? (Bonus: Name the two statistical tests JASP provides for testing these assumptions.)

 

Is it possible to perform a statistical test if the data being analyzed violates one of the test's assumptions? Why or why not?

You are given the following model of a data sampling process:
y =  B1 + B2X + u
where each element of the vector e is independently and identically distributed. Your empirical data is given by:
y = [9 6 8 10 9] and X = [2 1 2 2 1]'
i) show that the DSP satisfy the assumptions of the CLRM
ii) Assume that you have estimated this model by OLS ignoring any possible problems that there might be. What
are your estimates of b?
iii) What is the covariance matrix of the OLS estimators B^   given that STANDARD DEV2 = 13 ?
iv) Discuss the statistical properties of the OLS estimator for this DSP.

Write the required assumptions that we need to make inferences about one population proportion?