2. Let X; (i=1, 2, 3) equal the distance (in yards) that a golf ball travels when hit from a tee, where i denotes the index of the ith manufacturer. Assume that the N (µi, 0²), (i=1, 2, 3) when a distribution of X; is ball is hit by a certain golfer. We will test the null H₁ μ₁ = μ2 = μ3, when 4 hypothesis observations are recorded from each random variable. Here are the data: X₁: X₂: X3: 265 280 274 281 245 255 252 258 290 284 306 304 A) Give a critical region for a level of significance of a=.01 B) Construct an ANOVA table and state your conclusion for the hypothesis test.
2. Let X; (i=1, 2, 3) equal the distance (in yards) that a golf ball travels when hit from a tee, where i denotes the index of the ith manufacturer. Assume that the N (µi, 0²), (i=1, 2, 3) when a distribution of X; is ball is hit by a certain golfer. We will test the null H₁ μ₁ = μ2 = μ3, when 4 hypothesis observations are recorded from each random variable. Here are the data: X₁: X₂: X3: 265 280 274 281 245 255 252 258 290 284 306 304 A) Give a critical region for a level of significance of a=.01 B) Construct an ANOVA table and state your conclusion for the hypothesis test.
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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Please help me with part A and B.
![**Problem Statement:**
Let \( X_i \) (i = 1, 2, 3) equal the distance (in yards) that a golf ball travels when hit from a tee, where \( i \) denotes the index of the \( i^{th} \) manufacturer. Assume that the distribution of \( X_i \) is \( N(\mu_i, \sigma^2) \), (i = 1, 2, 3) when a ball is hit by a certain golfer. We will test the null hypothesis \( H_0 : \mu_1 = \mu_2 = \mu_3 \), when 4 observations are recorded from each random variable. Here are the data:
\[
\begin{align*}
X_1: & \quad 265 \quad 280 \quad 274 \quad 281 \\
X_2: & \quad 245 \quad 255 \quad 252 \quad 258 \\
X_3: & \quad 290 \quad 284 \quad 306 \quad 304 \\
\end{align*}
\]
**Tasks:**
A) Give a critical region for a level of significance of \(\alpha = 0.01\).
B) Construct an ANOVA table and state your conclusion for the hypothesis test.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ad7648d-7881-400e-ae70-2f96519e530b%2F7028d058-f449-4534-9b4d-b627380a0753%2Fo878oec_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Let \( X_i \) (i = 1, 2, 3) equal the distance (in yards) that a golf ball travels when hit from a tee, where \( i \) denotes the index of the \( i^{th} \) manufacturer. Assume that the distribution of \( X_i \) is \( N(\mu_i, \sigma^2) \), (i = 1, 2, 3) when a ball is hit by a certain golfer. We will test the null hypothesis \( H_0 : \mu_1 = \mu_2 = \mu_3 \), when 4 observations are recorded from each random variable. Here are the data:
\[
\begin{align*}
X_1: & \quad 265 \quad 280 \quad 274 \quad 281 \\
X_2: & \quad 245 \quad 255 \quad 252 \quad 258 \\
X_3: & \quad 290 \quad 284 \quad 306 \quad 304 \\
\end{align*}
\]
**Tasks:**
A) Give a critical region for a level of significance of \(\alpha = 0.01\).
B) Construct an ANOVA table and state your conclusion for the hypothesis test.
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