Fundamentals of Statistics (5th Edition)

5th Edition

ISBN: 9780134508306

Author: Michael Sullivan III

Publisher: PEARSON

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Chapter 11.3, Problem 6AYU

In Problems 1–6, assume that the populations are normally distributed

6. Test whether μ₁ > μ₂ at the α = 0.05 level of significance for the given sample data.

	Sample 1	Sample 2
n	23	13
x ¯	43.1	41.0
s	4.5	5.1

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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Chapter 11.3, Problem 5AYU

Chapter 11.3, Problem 7AYU

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Two samples were drawn independently from two normal populations. Sample 1: 11.6, 11.35, 10.1, 10.85, 10.35, 10.6, and 11.1.Sample 2: 5.85, 8.85, 9.85, 11.85 and 7.85.Test to determine whether the means of the two population differs (use α=0.05).

22. In an attempt to compare the durability of two different materials (X and Y), 10 pieces of type X and 14 pieces of type Y were used. From these samples we calculate the statistics: X= 129.44, y = 122.65, sx = 9.15, sy = 11.02. Assuming the two populations sampled are normal with equal variance, find the P-value. (0.05, 0.10) (0.01,0.025) (0.02,0.05). (0.1,0 2)

Suppose we observe two independent random samples X₁, ..., X, with each X; ~ N(μ₁,0²) and Y₁, ..., Yn with each Y; N(μ₂,0²). We will assume that μ₁, ₂ and ² are unknown. 9 We are given x = 10.1, y = 7.1, s² = 5.5 and s² = 6.4, with n₁ = 13 and n₂ = 19. We would like to test the hypothesis Ho: M₁ = μ₂ versus H₁ : µ₁ ‡ µ₂. What test statistic should you use? You may assume the samples come from populations with equal variances.

Chapter 11 Solutions

Fundamentals of Statistics (5th Edition)

Ch. 11.1 - A sampling method is _____ when the individuals...Ch. 11.1 - A sampling method is _____ when the individuals...Ch. 11.1 - In Problems 38, determine whether the sampling is...Ch. 11.1 - In Problems 38, determine whether the sampling is...Ch. 11.1 - In Problems 38, determine whether the sampling is...Ch. 11.1 - In Problems 38, determine whether the sampling is...Ch. 11.1 - In Problems 38, determine whether the sampling is...Ch. 11.1 - Prob. 8AYU Ch. 11.1 - In Problems 912, conduct each test at the = 0.05...Ch. 11.1 - In Problems 912, conduct each test at the = 0.05...

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In Problems 1–6, assume that the populations are normally distributed 6. Test whether μ 1 > μ 2 at the α = 0.05 level of significance for the given sample data. Sample 1 Sample 2 n 23 13 x ¯ 43.1 41.0 s 4.5 5.1

Solution Summary: The author concludes that there is no sufficient evidence to support the claim that mu '_'1'>'s' at the level of significance 0.05 for the given sample data

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Chapter 11 Solutions

In Problems 1–6, assume that the populations are normally distributed 6. Test whether μ 1 &gt; μ 2 at the α = 0.05 level of significance for the given sample data. Sample 1 Sample 2 n 23 13 x ¯ 43.1 41.0 s 4.5 5.1

Solution Summary: The author concludes that there is no sufficient evidence to support the claim that mu '_'1'>'s' at the level of significance 0.05 for the given sample data

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Chapter 11 Solutions

In Problems 1–6, assume that the populations are normally distributed 6. Test whether μ 1 > μ 2 at the α = 0.05 level of significance for the given sample data. Sample 1 Sample 2 n 23 13 x ¯ 43.1 41.0 s 4.5 5.1