Homework Help is Here – Start Your Trial Now!
Math
Statistics
2. The lengths of two different types of snakes are being compared. A sample of 12 Type A snakes was selected, and an independent sample of 14 Type B snakes was selected. The sample data are shown below, where the lengths are measured in feet. Type A: 4.2, 3.7, 3.8, 4.1, 4.1, 5.0, 4.6, 4.4, 4.5, 3.9, 3.6, 4.1 Type B 3.2, 3.5, 2.9, 3.7, 4.0, 4.1, 3.8, 3.6, 4.4, 4.3, 3.9, 4.1, 3.5, 3.7 Assume that type A snakes have the distribution: N(μA, 02) and Type B snakes have the distribution: N(μB, 0²). Conduct the following hypothesis (using a level of significance of a=.05. Ho AB versus HaHA > B. A) Identify the critical region. B) Compute the appropriate test statistic. C) What is your decision regarding the null hypothesis? Justify your answer. D) Give bounds for the p-value for the test.

2. The lengths of two different types of snakes are being compared. A sample of 12 Type A snakes was selected, and an independent sample of 14 Type B snakes was selected. The sample data are shown below, where the lengths are measured in feet. Type A: 4.2, 3.7, 3.8, 4.1, 4.1, 5.0, 4.6, 4.4, 4.5, 3.9, 3.6, 4.1 Type B 3.2, 3.5, 2.9, 3.7, 4.0, 4.1, 3.8, 3.6, 4.4, 4.3, 3.9, 4.1, 3.5, 3.7 Assume that type A snakes have the distribution: N(μA, 02) and Type B snakes have the distribution: N(μB, 0²). Conduct the following hypothesis (using a level of significance of a=.05. Ho AB versus HaHA > B. A) Identify the critical region. B) Compute the appropriate test statistic. C) What is your decision regarding the null hypothesis? Justify your answer. D) Give bounds for the p-value for the test.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
I need help with part a,b,c,d.
**Comparison of Snake Lengths** Two different types of snakes are being compared in terms of length. A sample of 12 Type A snakes and an independent sample of 14 Type B snakes were selected. The lengths are measured in feet and are provided below: - **Type A Snakes:** 4.2, 3.7, 3.8, 4.1, 4.1, 5.0, 4.6, 4.4, 4.5, 3.9, 3.6, 4.1 - **Type B Snakes:** 3.2, 3.5, 2.9, 3.7, 4.0, 4.1, 3.8, 3.6, 4.4, 4.3, 3.9, 4.1, 3.5, 3.7 Assume that Type A snakes have a normal distribution \(N(\mu_A, \sigma^2)\) and Type B snakes have a normal distribution \(N(\mu_B, \sigma^2)\). ### Hypothesis Test Conduct a hypothesis test at a significance level of \(\alpha = 0.05\) with the following hypotheses: - **Null Hypothesis (\(H_0\)):** \(\mu_A = \mu_B\) - **Alternative Hypothesis (\(H_a\)):** \(\mu_A > \mu_B\) Tasks: A) **Identify the Critical Region:** Determine the critical region for rejecting the null hypothesis. B) **Compute the Appropriate Test Statistic:** Calculate the statistical value necessary to perform the hypothesis test. C) **Decision Regarding the Null Hypothesis:** Make a decision regarding the validity of the null hypothesis and provide justification. D) **Provide Bounds for the P-Value:** Establish bounds for the p-value of the test to support the hypothesis testing process.
Transcribed Image Text:**Comparison of Snake Lengths** Two different types of snakes are being compared in terms of length. A sample of 12 Type A snakes and an independent sample of 14 Type B snakes were selected. The lengths are measured in feet and are provided below: - **Type A Snakes:** 4.2, 3.7, 3.8, 4.1, 4.1, 5.0, 4.6, 4.4, 4.5, 3.9, 3.6, 4.1 - **Type B Snakes:** 3.2, 3.5, 2.9, 3.7, 4.0, 4.1, 3.8, 3.6, 4.4, 4.3, 3.9, 4.1, 3.5, 3.7 Assume that Type A snakes have a normal distribution \(N(\mu_A, \sigma^2)\) and Type B snakes have a normal distribution \(N(\mu_B, \sigma^2)\). ### Hypothesis Test Conduct a hypothesis test at a significance level of \(\alpha = 0.05\) with the following hypotheses: - **Null Hypothesis (\(H_0\)):** \(\mu_A = \mu_B\) - **Alternative Hypothesis (\(H_a\)):** \(\mu_A > \mu_B\) Tasks: A) **Identify the Critical Region:** Determine the critical region for rejecting the null hypothesis. B) **Compute the Appropriate Test Statistic:** Calculate the statistical value necessary to perform the hypothesis test. C) **Decision Regarding the Null Hypothesis:** Make a decision regarding the validity of the null hypothesis and provide justification. D) **Provide Bounds for the P-Value:** Establish bounds for the p-value of the test to support the hypothesis testing process.
Expert Solution
Step 1

Statistics homework question answer, step 1, image 1

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS