Consider the following hypothesis test. Ho: M₁ M₂ = 0 Ha: M₁ M₂ #0 The following results are for two independent samples taken from the two populations. - - Sample 1 Sample 2 n1 = 80 X₁ = 104 = 70 7₂ x₂ = 106 01 02 7.2 (a) What is the value of the test statistic? (Round your answer to two decimal places.) = 8.2 (b) What is the p-value? (Round your answer to four decimal places.) (c) With a = 0.05, what is your hypothesis testing conclusion? - Do not Reject Ho. There is sufficient evidence to conclude that μ₁ − M₂ # O. Reject Ho. There is sufficient evidence to conclude that µ₁ −µ₂ ‡ 0. - - Reject Ho. There is insufficient evidence to conclude that µ₁ −μ₂ ‡ 0. - Do not reject Ho. There is insufficient evidence to conclude that μ₁ −µ₂ ± 0.
Consider the following hypothesis test. Ho: M₁ M₂ = 0 Ha: M₁ M₂ #0 The following results are for two independent samples taken from the two populations. - - Sample 1 Sample 2 n1 = 80 X₁ = 104 = 70 7₂ x₂ = 106 01 02 7.2 (a) What is the value of the test statistic? (Round your answer to two decimal places.) = 8.2 (b) What is the p-value? (Round your answer to four decimal places.) (c) With a = 0.05, what is your hypothesis testing conclusion? - Do not Reject Ho. There is sufficient evidence to conclude that μ₁ − M₂ # O. Reject Ho. There is sufficient evidence to conclude that µ₁ −µ₂ ‡ 0. - - Reject Ho. There is insufficient evidence to conclude that µ₁ −μ₂ ‡ 0. - Do not reject Ho. There is insufficient evidence to conclude that μ₁ −µ₂ ± 0.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%

Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question.
Consider the following hypothesis test.
Ho: M₁ M₂ = 0
На: M1 - M2 ≠ 0
The following results are for two independent samples taken from the two populations.
Sample 1
n1 = 80
X1 = 104
01 8.2
02
(a) What is the value of the test statistic? (Round your answer to two decimal places.)
Sample 2
=
= 70
n₂ =
x₂
= 106
= 7.2
(b) What is the p-value? (Round your answer to four decimal places.)
(c) With a = 0.05, what is your hypothesis testing conclusion?
-
Do not Reject Ho. There is sufficient evidence to conclude that µ₁ − µ₂ ‡ 0.
Reject Ho There is sufficient evidence to conclude that μ₁ - M₂ + 0.
Reject Ho. There is insufficient evidence to conclude that µ₁ − µ₂ ‡ 0.
Do not reject Ho. There is insufficient evidence to conclude that µ₁ − µ₂ ‡ O.

Transcribed Image Text:DATAfile: Hotel
You may need to use the appropriate appendix table or technology to answer this question.
Suppose that you are responsible for making arrangements for a business convention and that you have been charged with choosing
a city for the convention that has the least expensive hotel rooms. You have narrowed your choices to Atlanta and Houston. The file
named Hotel contains samples of prices for rooms in Atlanta and Houston that are consistent with a SmartMoney survey conducted
by Smith Travel Research. Because considerable historical data on the prices of rooms in both cities are available, the population
standard deviations for the prices can be assumed to be $15 in Atlanta and $25 in Houston. Based on the sample data, can you
conclude that the mean price of a hotel room in Atlanta is lower than one in Houston?
State the hypotheses. (Let μ₁ = mean hotel price in Atlanta and let µ₂ = mean hotel price in Houston.)
Ho: M₁
Ha: M₁
Ho: M₁
M₂ = 0
На: M1 - M2 # 0
M₂ <0
M₂ ≥ 0
Ho: M₁ M₂ ≥ 0
На: M1 - M2<0
Ho: M₁
Ha: M₁
-
M₂ > 0
M₂ = 0
M₂ #0
Ho: M₁
H₂: M₁ M₂ =
= 0
Calculate the test statistic. (Round your answer to two decimal places.)
-0.351
X
Calculate the p-value. (Round your answer to four decimal places.)
p-value = -0.351
X
What is your conclusion? (Use a = 0.05.)
O Reject Ho. There is sufficient evidence to conclude that the mean price of a hotel room in Atlanta is lower than the mean
price of a hotel room in Houston.
Do not reject Ho. There is insufficient evidence to conclude that the mean price of a hotel room in Atlanta is lower than the
mean price of a hotel room in Houston.
Do not reject Ho. There is sufficient evidence to conclude that the mean price of a hotel room in Atlanta is lower than the
mean price of a hotel room in Houston.
Reject Ho
There is insufficient evidence to conclude that the mean price of a hotel room in Atlanta is lower than the mean
price of a hotel room in Houston.
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