Atlanta Houston 85 125 65 110 100 105 120 120 115 85 125 115 65 65 90 60 115 95 70 105 80 115 60 75 65 100 70 90 75 115 65 160 80 65 85 80 95 60 85 85 85 130 85 110 120 95 90 90 90 125 80 90 115 125 110 90 125 85 80 55 125 150 60 120 105 80 110 75 120 105 130 135 120 90 115 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 ?1 = mean hotel price in Atlanta and let ?2 = mean hotel price in Houston.) H0: ?1 − ?2 > 0 Ha: ?1 − ?2 = 0 H0: ?1 − ?2 = 0 Ha: ?1 − ?2 ≠ 0 H0: ?1 − ?2 < 0 Ha: ?1 − ?2 ≥ 0 H0: ?1 − ?2 ≥ 0 Ha: ?1 − ?2 < 0 H0: ?1 − ?2 ≠ 0 Ha: ?1 − ?2 = 0 Calculate the test statistic. (Round your answer to two decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? Do not reject H0. 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 H0. 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 H0. 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. Reject H0. 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.

Atlanta Houston 85 125 65 110 100 105 120 120 115 85 125 115 65 65 90 60 115 95 70 105 80 115 60 75 65 100 70 90 75 115 65 160 80 65 85 80 95 60 85 85 85 130 85 110 120 95 90 90 90 125 80 90 115 125 110 90 125 85 80 55 125 150 60 120 105 80 110 75 120 105 130 135 120 90 115 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 ?1 = mean hotel price in Atlanta and let ?2 = mean hotel price in Houston.) H0: ?1 − ?2 > 0 Ha: ?1 − ?2 = 0 H0: ?1 − ?2 = 0 Ha: ?1 − ?2 ≠ 0 H0: ?1 − ?2 < 0 Ha: ?1 − ?2 ≥ 0 H0: ?1 − ?2 ≥ 0 Ha: ?1 − ?2 < 0 H0: ?1 − ?2 ≠ 0 Ha: ?1 − ?2 = 0 Calculate the test statistic. (Round your answer to two decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? Do not reject H0. 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 H0. 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 H0. 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. Reject H0. 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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 ?₁ = mean hotel price in Atlanta and let ?₂ = mean hotel price in Houston.)

H₀: ?₁ − ?₂ > 0

H_a: ?₁ − ?₂ = 0

H₀: ?₁ − ?₂ = 0

H_a: ?₁ − ?₂ ≠ 0

H₀: ?₁ − ?₂ < 0

H_a: ?₁ − ?₂ ≥ 0

H₀: ?₁ − ?₂ ≥ 0

H_a: ?₁ − ?₂ < 0

H₀: ?₁ − ?₂ ≠ 0

H_a: ?₁ − ?₂ = 0

Calculate the test statistic. (Round your answer to two decimal places.)

Calculate the p-value. (Round your answer to four decimal places.)

p-value =

What is your conclusion?

Do not reject H₀. 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 H₀. 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 H₀. 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.

Reject H₀. 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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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