Two neighboring towns share a school district. A group of students at the high school is doing a study on the income in the two towns. Based on what they learned in their statistics class, they will assume that the distribution of income is right-skewed. However, large samples should allow them to perform a two-sample t test for equality of average household income. Let the μ1 denote the average household income of town X and μ2 the average household income for town Y. The hypotheses that the group of students will test are H0: μ1 = μ2 versus Ha: μ1 ≠ μ2. Based on independent samples of 65 households from each of the two towns, the students calculated the following summary measures (in thousands of dollars): = 45.6 and s1 = 8.5, = 38.4 and s2 = 6.5. What is the right bound of a 95% confidence interval for the difference in average household income in the two neighboring towns (rounded to 3 decimal places)? Do not assume the population standard deviations are equal.
Two neighboring towns share a school district. A group of students at the high school is doing a study on the income in the two towns. Based on what they learned in their statistics class, they will assume that the distribution of income is right-skewed. However, large samples should allow them to perform a two-sample t test for equality of average household income. Let the μ1 denote the average household income of town X and μ2 the average household income for town Y. The hypotheses that the group of students will test are H0: μ1 = μ2 versus Ha: μ1 ≠ μ2. Based on independent samples of 65 households from each of the two towns, the students calculated the following summary measures (in thousands of dollars): = 45.6 and s1 = 8.5, = 38.4 and s2 = 6.5. What is the right bound of a 95% confidence interval for the difference in average household income in the two neighboring towns (rounded to 3 decimal places)? Do not assume the population standard deviations are equal.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Two neighboring towns share a school district. A group of students at the high school is doing a study on the income in the two towns. Based on what they learned in their statistics class, they will assume that the distribution of income is right-skewed. However, large samples should allow them to perform a two-sample t test for equality of average household income. Let the μ1 denote the average household income of town X and μ2 the average household income for town Y. The hypotheses that the group of students will test are H0: μ1 = μ2 versus Ha: μ1 ≠ μ2. Based on independent samples of 65 households from each of the two towns, the students calculated the following summary measures (in thousands of dollars): = 45.6 and s1 = 8.5, = 38.4 and s2 = 6.5.
What is the right bound of a 95% confidence interval for the difference in average household income in the two neighboring towns (rounded to 3 decimal places)? Do not assume the population standard deviations are equal.
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