Can someone tell me if the following statements are true or not and why 1a) When there is no intercept in the regression model, the estimated will...

Can someone tell me if the following statements are true or not and why

1a) When there is no intercept in the regression model, the estimated will not sum to zero.

1b) Does the p-value and the size of a test-statistic mean the same.

1c) The t-test of significance requires that the sampling distributions of estimators B1 and B2 follow the normal distribution

1d) If heteroscedasticity is present, the conventional t and F tests are invalid.

1e) A significant Durbin - Watson d does not necessarily mean there is autocorrelation of the first order.

2)Hypothesis testing answers this question: Is a given finding compatible with a stated hypothesis or not? Please give how the use of confidence intervals and test of significance assist in answering this question.