Mathematics, 14.04.2020 19:35 daniellekennedy05

Which of the following statements are true: (i) Increasing sample size while keeping the same confidence level increases the width of the confidence interval and improves the accuracy of your estimate. (ii) The T distribution curve is centered at 0 and symmetric. Furthermore, the T distribution curve has a thicker tail than the standard Normal curve and comes close to the standard Normal curve as the sample size decreases. (iii) The conclusion of a right tail hypothesis test (test of significance) for a population mean at the significance level should always match the conclusion of a two-sided confidence interval for estimating the same population mean at the confidence level 1- (iv) Keeping all other quantities fixed, increasing the significance level will increase the power of the test.

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