Fairfield Homes is developing two parcels near Pigeon Fork, Tennessee. In order to test different advertising approaches, it uses different media to reach potential buyers. The mean annual family income for 18 people making inquiries at the first development is $162,000, with a standard deviation of $40,000. A corresponding sample of 29 people at the second development had a mean of $181,000, with a standard deviation of $29,000. Assume the population standard deviations are the same. 1. State the decision rule for .01 significance level: Ho: M₁ = µ₂; H₁: M₁ # μ₂. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) Reject Ho if t is not between 2. Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) Value of the test statistic and 3. At the .01 significance level, can Fairfield conclude that the population means are different? (Click to select) Ho. Fairfield (Click to select) conclude that the population means are different.

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
7
Fairfield Homes is developing two parcels near Pigeon Fork, Tennessee. In order to test
different advertising approaches, it uses different media to reach potential buyers. The
mean annual family income for 18 people making inquiries at the first development is
$162,000, with a standard deviation of $40,000. A corresponding sample of 29 people
at the second development had a mean of $181,000, with a standard deviation of
$29,000. Assume the population standard deviations are the same.
1. State the decision rule for .01 significance level: Ho: M₁ = M2; H₁:4₁ # 2. (Negative
amounts should be indicated by a minus sign. Round your answers to 3 decimal
places.)
Reject Ho if t is not between
2. Compute the value of the test statistic. (Negative amount should be indicated by a
minus sign. Round your answer to 2 decimal places.)
Value of the test
statistic
and
3. At the .01 significance level, can Fairfield conclude that the population means are
different?
(Click to select) Ho. Fairfield (Click to select) conclude that the population means are
different.
Transcribed Image Text:7 Fairfield Homes is developing two parcels near Pigeon Fork, Tennessee. In order to test different advertising approaches, it uses different media to reach potential buyers. The mean annual family income for 18 people making inquiries at the first development is $162,000, with a standard deviation of $40,000. A corresponding sample of 29 people at the second development had a mean of $181,000, with a standard deviation of $29,000. Assume the population standard deviations are the same. 1. State the decision rule for .01 significance level: Ho: M₁ = M2; H₁:4₁ # 2. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) Reject Ho if t is not between 2. Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) Value of the test statistic and 3. At the .01 significance level, can Fairfield conclude that the population means are different? (Click to select) Ho. Fairfield (Click to select) conclude that the population means are different.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 7 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