417247 9.37 The data for a random sample of six paired observations NW are shown in the following table. D L09037 Pair Sample from Population 1 Sample from Population 2 3 9 6 8 739648 923456 a. Calculate the difference between each pair of observa- tions by subtracting observation 2 from observation 1. Use the differences to calculate x and s. b. If μ₁ and μ2 are the means of populations 1 and 2, respec- tively, express μd in terms of μ₁ and μ₂. c. Form a 95% confidence interval for μd. d. Test the null hypothesis Ho: pd = 0 against the alterna- tive hypothesis Ha: Md 0. Use a = .05.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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417247
9.37 The data for a random sample of six paired observations
NW are shown in the following table.
D
L09037
Pair
Sample from
Population 1
Sample from
Population 2
3
9
6
8
739648
923456
a. Calculate the difference between each pair of observa-
tions by subtracting observation 2 from observation 1.
Use the differences to calculate x and s.
b. If μ₁ and μ2 are the means of populations 1 and 2, respec-
tively, express μd in terms of μ₁ and μ₂.
c. Form a 95% confidence interval for μd.
d. Test the null hypothesis Ho: pd = 0 against the alterna-
tive hypothesis Ha: Md 0. Use a = .05.
Transcribed Image Text:417247 9.37 The data for a random sample of six paired observations NW are shown in the following table. D L09037 Pair Sample from Population 1 Sample from Population 2 3 9 6 8 739648 923456 a. Calculate the difference between each pair of observa- tions by subtracting observation 2 from observation 1. Use the differences to calculate x and s. b. If μ₁ and μ2 are the means of populations 1 and 2, respec- tively, express μd in terms of μ₁ and μ₂. c. Form a 95% confidence interval for μd. d. Test the null hypothesis Ho: pd = 0 against the alterna- tive hypothesis Ha: Md 0. Use a = .05.
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