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Problem 2. Assume the mean income per person in the United States is $50,000, and the incomes follow a normal distribution. A random sample of 26 residents in Atlanta, GA had a mean of $60,000 with a standard deviation of $10,000. You are interested in whether the average income in Atlanta is higher than the national average. a. Setup the appropriate null and alternative hypotheses. b. Construct the relevant test statistic. c. Test the hypotheses at the 0.05 significance level and state your conclusion.

Problem 2. Assume the mean income per person in the United States is $50,000, and the incomes follow a normal distribution. A random sample of 26 residents in Atlanta, GA had a mean of $60,000 with a standard deviation of $10,000. You are interested in whether the average income in Atlanta is higher than the national average. a. Setup the appropriate null and alternative hypotheses. b. Construct the relevant test statistic. c. Test the hypotheses at the 0.05 significance level and state your conclusion.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Problem 2. Assume the mean income per person in the United States is $50,000, and the incomes follow a normal distribution. A random sample of 26 residents in Atlanta, GA had a mean of $60,000 with a standard deviation of $10,000. You are interested in whether the average income in Atlanta is higher than the national average. a. Setup the appropriate null and alternative hypotheses. b. Construct the relevant test statistic. c. Test the hypotheses at the 0.05 significance level and state your conclusion.
Transcribed Image Text:Problem 2. Assume the mean income per person in the United States is $50,000, and the incomes follow a normal distribution. A random sample of 26 residents in Atlanta, GA had a mean of $60,000 with a standard deviation of $10,000. You are interested in whether the average income in Atlanta is higher than the national average. a. Setup the appropriate null and alternative hypotheses. b. Construct the relevant test statistic. c. Test the hypotheses at the 0.05 significance level and state your conclusion.
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