Use the following setup to answer the following questions. Draw a diagram where asked. A real estate agent claims that the mean living area of all single-family homes in his county is at least 2400 square feet. A random sample of 100 such homes selected from this county produced the mean living area of 2300 square feet and a standard deviation of 400 square feet. You want to test, at the 5% significance level whether the real estate agent's claim is true. A. Write down the Ho/Ha for this test. Also indicate the tail of the test. Show all work. B. What will be the distribution used for this test? C. Using a diagram, show the R/NR regions for this test. Label these regions carefully.

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
icon
Related questions
Question
Use the following setup to answer the following questions. Draw a diagram where asked.
A real estate agent claims that the mean living area of all single-family homes in his county is at least
2400 square feet. A random sample of 100 such homes selected from this county produced the mean
living area of 2300 square feet and a standard deviation of 400 square feet. You want to test, at the 5%
significance level whether the real estate agent's claim is true.
A. Write down the Ho/Ha for this test. Also indicate the tail of the test. Show all work.
B. What will be the distribution used for this test?
C. Using a diagram, show the R/NR regions for this test. Label these regions carefully.
D. Calculate the Test Statistic (TS) for this test.
E. What is your conclusion? Both in terms of Ho/Ha and in plain English.
Transcribed Image Text:Use the following setup to answer the following questions. Draw a diagram where asked. A real estate agent claims that the mean living area of all single-family homes in his county is at least 2400 square feet. A random sample of 100 such homes selected from this county produced the mean living area of 2300 square feet and a standard deviation of 400 square feet. You want to test, at the 5% significance level whether the real estate agent's claim is true. A. Write down the Ho/Ha for this test. Also indicate the tail of the test. Show all work. B. What will be the distribution used for this test? C. Using a diagram, show the R/NR regions for this test. Label these regions carefully. D. Calculate the Test Statistic (TS) for this test. E. What is your conclusion? Both in terms of Ho/Ha and in plain English.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt