(In some of the exercises that follow, we must | Ch 9.3 - 9E

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

ISBN: 9780321923271 41

Solution for problem 9E Chapter 9.3

Probability and Statistical Inference | 9th Edition

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Problem 9E

Let $X_{i}, i=1,2,3,4$, 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 $N\left(\mu_{i}, \sigma^{2}\right), i=1,2,3,4$, when a ball is hit by a certain golfer. We shall test the null hypothesis $H_{0}$ : $\mu_{1}=\mu_{2}=\mu_{3}=\mu_{4}$, using three observations of each random variable.

(a) Give a critical region for an $\alpha=0.05$ significance level.

(b) Construct an ANOVA table and state your conclusion, using the following data:

(d) What is the approximate $p$-value of this test?

Equation Transcription:

${X}_{i},i=1,2,3,4$

$i$

${X}_{i}$

$N\left({{\mu{}}_{i},{\sigma{}}^{2}}\right),i=1,2,3,4$

${H}_{0}$ : ${\mu{}}_{1}={\mu{}}_{2}={\mu{}}_{3}={\mu{}}_{4}$

$\alpha{}=0.05$

$\alpha{}=0.025$

$p$

Text Transcription:

X_i, i=1,2,3,4

X_i

N(mu_i, sigma^2),i=1,2,3,4

H_0: mu_1=mu_2=mu_3=mu_4

alpha=0.05

alpha=0.025

Step-by-Step Solution:

Step 1 of 5

Given:

The distance that a golf ball travels when hit from a tee is. It follows normal distribution written as: .

Step 2 of 5

Chapter 9.3, Problem 9E is Solved

Step 3 of 5

Textbook: Probability and Statistical Inference

Edition: 9

Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

ISBN: 9780321923271

The answer to “?Let $X_{i}, i=1,2,3,4$, 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 $N\left(\mu_{i}, \sigma^{2}\right), i=1,2,3,4$, when a ball is hit by a certain golfer. We shall test the null hypothesis $H_{0}$ : $\mu_{1}=\mu_{2}=\mu_{3}=\mu_{4}$, using three observations of each random variable.(a) Give a critical region for an $\alpha=0.05$ significance level.(b) Construct an ANOVA table and state your conclusion, using the following data: (c) What would your conclusion be if $\alpha=0.025$ ?(d) What is the approximate $p$-value of this test?Equation Transcription:: Text Transcription:X_i, i=1,2,3,4 i X_i N(mu_i, sigma^2),i=1,2,3,4 H_0: mu_1=mu_2=mu_3=mu_4 alpha=0.05 alpha=0.025 p” is broken down into a number of easy to follow steps, and 114 words. Since the solution to 9E from 9.3 chapter was answered, more than 361 students have viewed the full step-by-step answer. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. This full solution covers the following key subjects: ball, Using, test, HIT, equal. This expansive textbook survival guide covers 59 chapters, and 1476 solutions. This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. The full step-by-step solution to problem: 9E from chapter: 9.3 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM.