Two of the teams competing in the America's Cup race are Team Oracle U.S.A. and Land Rover BAR. They race their boats over a part of the course several times. Below are a sample of times in minutes for each boat. Assume the population standard deviations are not the same. At the 0.05 significance level, can we conclude that there is a difference in their mean times? BoatTime (minutes)Land Rover BAR12.912.511.013.311.211.411.612.314.211.3 Team Oracle14.114.114.217.415.816.716.113.313.413.610.819.0 Find the degrees of freedom for unequal variance test. (Round down your answer to the nearest whole number.) State the decision rule for 0.05 significance level: H0: μLand Rover = μOracle; H1: μLand Rover ≠ μOracle. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) Compute the value of the test statistic. (Round your answer to 2 decimal places.)

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Description: Two of the teams competing in the America's Cup race are Team Oracle U.S.A. and Land Rover BAR. They race their boats over a part of the course several times. Below are a sample of times in minutes for each boat. Assume the population standard deviat

1 State the hypotheses. That is, there is no difference between the mean times of two teams…

Answered: Two of the teams competing in the…

MATLAB: An Introduction with Applications

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Two of the teams competing in the America's Cup race are Team Oracle U.S.A. and Land Rover BAR. They race their boats over a part of the course several times. Below are a sample of times in minutes for each boat. Assume the population standard deviations are not the same.

At the 0.05 significance level, can we conclude that there is a difference in their mean times?

Boat	Time (minutes)
Land Rover BAR	12.9	12.5	11.0	13.3	11.2	11.4	11.6	12.3	14.2	11.3
Team Oracle	14.1	14.1	14.2	17.4	15.8	16.7	16.1	13.3	13.4	13.6	10.8	19.0

Find the degrees of freedom for unequal variance test. (Round down your answer to the nearest whole number.)

State the decision rule for 0.05 significance level: H₀: μ_{Land Rover} = μ_Oracle; H₁: μ_{Land Rover} ≠ μ_Oracle. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)

Compute the value of the test statistic. (Round your answer to 2 decimal places.)

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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