To test \( H_0: \mu = 20 \) versus \( H_1: \mu < 20 \), a simple random sample of size \( n = 17 \) is obtained from a population that is known to be normally distributed. Answer parts (a)-(d).1. Click here to view the t-Distribution Area in Right Tail.(a) If \( \bar{x} = 18.1 \) and \( s = 4.1 \), compute the test statistic. \( t = \_\_\_\_\_\_ \) (Round to two decimal places as needed.)(b) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region?- Option A: Graph shows a left-skewed area shaded.- Option B: Graph shows a right-skewed area shaded.(c) Approximate the P-value. Choose the correct range for the P-value below.- Option A: \( 0.05 < \text{P-value} < 0.10 \)- Option B: \( 0.15 < \text{P-value} < 0.20 \)- Option C: \( 0.025 < \text{P-value} < 0.05 \)- Option D: \( 0.10 < \text{P-value} < 0.15 \)(d) If the researcher decides to test this hypothesis at the \( \alpha = 0.05 \) level of significance, will the researcher reject the null hypothesis?- Option A: The researcher will not reject the null hypothesis since the P-value is less than \( \alpha \).- Option B: The researcher will reject the null hypothesis since the P-value is not less than \( \alpha \).- Option C: The researcher will not reject the null hypothesis since the P-value is not less than \( \alpha \).- Option D: The researcher will reject the null hypothesis since the P-value is less than \( \alpha \).

Given: n= 17.0 ,x̄= 18.1 ,s= 4.1 µ= 20.0 ,significance level(∝)= 0.05 ,degree of freedom= 16.0…

Answered: To test Ho: µ = 20 versus H,: µ< 20, 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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