Answer these question **Hypothesis Testing on Chess Game Duration**A local chess club claims that the length of time to play a game has a mean of 41 minutes or more. Write sentences describing Type I and Type II errors for a hypothesis test of this claim.**Type I Error Explanation:**A Type I error will occur if the actual mean of the length of time to play a game is equal to 41 minutes, but you reject the null hypothesis.- Null Hypothesis (\(H_0\)): \(\mu \geq 41\)**Type II Error Explanation:**A Type II error will occur if the actual mean of the length of time to play a game is not equal to 41 minutes, but you reject the null hypothesis.- Null Hypothesis (\(H_0\)): \(\mu > 41\)**Dropdown Options (For Null Hypothesis):**1. \(H_0: \mu > 41\)2. \(H_0: \mu < 41\)3. \(H_0: \mu \neq 41\)4. \(H_0: \mu \leq 41\)5. \(H_0: \mu = 41\)6. \(H_0: \mu \geq 41\)**Interface Detail:**The user is provided with a dropdown menu to select appropriate null hypotheses statements for describing Type I and Type II errors in the context of hypothesis testing. **Understanding Type I and Type II Errors in Hypothesis Testing**A local chess club claims that the length of time to play a game has a mean of 41 minutes or more. This claim is evaluated using a hypothesis test with the following null and alternative hypotheses:- Null Hypothesis (H₀): μ ≥ 41- Alternative Hypothesis (H₁): μ < 41**Type I Error:**A Type I error occurs when the actual mean of the length of time to play a game is equal to 41 minutes, but the null hypothesis is rejected.**Type II Error:**A Type II error occurs when the actual mean of the length of time to play a game is not equal to 41 minutes, but the null hypothesis is not rejected.**Key Points to Remember:**- Type I errors involve the incorrect rejection of a true null hypothesis.- Type II errors involve failing to reject a false null hypothesis. In this context, ensuring accurate hypothesis testing is crucial to determine if the chess club's claim holds true or needs revisions.

A local chess club claims that the length of time to play a game has a mean of 41 minutes or more. Write sentences describing type I and type II errors for a hypothesis test of this claim. 42 TH- A type I error will occur if the actual mean of the length of time to play a game is equal to 41 minutes, but you reject the null hypothesis, Ho: μ241 even A type Il error will occur if the actual mean of the length of time to play a game is not equal to 41 minutes, but you reject the null hypothesis, C-23 Ho: u>41 30am at T mpus vitie :10a Ho: H> 41 e, Bo Ho: H< 41 Servi m Ho: u# 41 e, Ca Servic Ho: us41 Ho: H = 41 g. Tari Next Service 30am Ho: μ241 STI Testing (Collin 2021FL PSYC-2301-86034 1FL MAIH-1342-86026 General Psychology 55°F mentary Statistical Methods

A local chess club claims that the length of time to play a game has a mean of 41 minutes or more. Write sentences describing type I and type II errors for a hypothesis test of this claim. 42 TH- A type I error will occur if the actual mean of the length of time to play a game is equal to 41 minutes, but you reject the null hypothesis, Ho: μ241 even A type Il error will occur if the actual mean of the length of time to play a game is not equal to 41 minutes, but you reject the null hypothesis, C-23 Ho: u>41 30am at T mpus vitie :10a Ho: H> 41 e, Bo Ho: H< 41 Servi m Ho: u# 41 e, Ca Servic Ho: us41 Ho: H = 41 g. Tari Next Service 30am Ho: μ241 STI Testing (Collin 2021FL PSYC-2301-86034 1FL MAIH-1342-86026 General Psychology 55°F mentary Statistical Methods

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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