Answered: Exercises pertain to P-values for a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Exercises pertain to P-values for a one-mean t-test. For each exercise, do the following tasks.

a. Use Table IV in Appendix A to estimate the P-value.

b. Based on your estimate in part (a), state at which significance levels the null hypothesis can be rejected, at which significance levels it cannot be rejected, and at which significance levels it is not possible to decide.

Left-tailed test, n = 30, and t = -1.572

Expert Solution

Step 1

(a)

For left tailed test

$\begin{array}{rcl} P - v a l u e & = & P (t < t_{0}) \\ = & P (t < - 1.572) \\ = & 1 - P (t > - 1.572) \end{array}$

From, Table IV of Appendix A, for n=30, the value of t=1.572 belongs to the range, $t_{10} = (1.310) < 1.572 < t_{10} = (1.1697)$

So, the range of the P-value for the left tailed test is 0.05<P<0.10.

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