Homework Help is Here – Start Your Trial Now!
Math
Probability
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)
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...
See similar textbooks
icon
Related questions
Question
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.
Transcribed Image Text:**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.
Transcribed Image Text:**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.
Expert Solution
Step 1

Solution

Probability homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer