Answer these question A, B, C and D questions **Transcription and Explanation for Educational Use:****Title: Hypothesis Testing with Standardized Test Statistics**State whether the standardized test statistic \( t \) indicates that you should reject the null hypothesis. Explain:(a) \( t = 1.932 \) (b) \( t = 0 \) (c) \( t = 1.801 \) (d) \( t = -1.905 \)**Question (a):** For \( t = 1.932 \), should you reject or fail to reject the null hypothesis?- **A.** Fail to reject \( H_0 \), because \( t > 1.895 \).- **B.** Fail to reject \( H_0 \), because \( t < 1.895 \).- **C.** Reject \( H_0 \), because \( t > 1.895 \).- **D.** Reject \( H_0 \), because \( t < 1.895 \).**Question (b):** For \( t = 0 \), should you reject or fail to reject the null hypothesis?- **A.** Fail to reject \( H_0 \), because \( t > 1.895 \).- **B.** Fail to reject \( H_0 \), because \( t < 1.895 \).- **C.** Reject \( H_0 \), because \( t > 1.895 \).- **D.** Reject \( H_0 \), because \( t < 1.895 \).**Diagram Explanation:**- The image includes a bell-shaped curve, representing the distribution of the test statistic under the null hypothesis.- The critical value \( t_c = 1.895 \) is marked on the x-axis.- The area to the right of \( t = 1.895 \) is shaded, indicating the rejection region.**Utilities Displayed:**- **Statcrunch**: A tool for statistical analysis.- **Calculator**: A digital tool for calculations.This setup helps in understanding how to interpret the t-statistic in determining whether to reject or fail to reject the null hypothesis based on its comparison to the critical value. The image presents a statistical problem involving hypothesis testing. Students are asked to determine whether the standardized test statistic \( t \) indicates that they should reject the null hypothesis. They are given several values for \( t \) and must use these to make their decision based on a critical value of \( t = 1.895 \).**Given Values and Options:**1. (a) \( t = 1.932 \)2. (b) \( t = 1.801 \)3. (c) \( t = 1.905 \)4. (d) \( t = -1.905 \)**Questions:**- (a)–(c): Decide if each scenario should reject the null hypothesis based on the criteria \( t > 1.895 \).- (d): Specifically asks if \( t = -1.905 \) leads to rejecting or failing to reject the null hypothesis.**Multiple Choice Answers:**- **A.** Fail to reject \( H_0 \), because \( t < 1.895 \).- **B.** Reject \( H_0 \), because \( t > 1.895 \).- **C.** Reject \( H_0 \), because \( t < 1.895 \).- **D.** Fail to reject \( H_0 \), because \( t > 1.895 \).**Graph Explanation:**A graph on the right shows a t-distribution curve where a critical region is depicted. The critical value marked is \( t = 1.895 \). The graph visually demonstrates the rejection region for the null hypothesis, with the area beyond \( t = 1.895 \) shaded to indicate where we would reject \( H_0 \).This image and explanation guide students through understanding the decision-making process in hypothesis testing based on calculated t-values and critical thresholds.

Solution: The critical value is 1.895 Decision Rule: Reject Ho if t > 1.895

State whether the standardized test staustic t indicates that you should reject the null hypotnesis. Explain. (a) t= 1.932 (b) t=0 (c) t= 1.801 (d) t= - 1.905 to1.805 .... (a) For t= 1.932, should you reject or fail to reject the null hypothesis? O A. Fail to reject Ho, because t> 1.895. O B. Fail to reject Ho, because t<1.895. O C. Reject Ho, because t> 1.895,

State whether the standardized test staustic t indicates that you should reject the null hypotnesis. Explain. (a) t= 1.932 (b) t=0 (c) t= 1.801 (d) t= - 1.905 to1.805 .... (a) For t= 1.932, should you reject or fail to reject the null hypothesis? O A. Fail to reject Ho, because t> 1.895. O B. Fail to reject Ho, because t<1.895. O C. Reject Ho, because t> 1.895,

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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