Long-Range Discs manufactures discs for playing disc golf. The company is developing two different models of distance drivers, the Lightning and the Thunder. Tatiana Purslow, an engineer for Long-Range Discs, is verifying whether the population mean flight distance of the Lightning is different than the population mean flight distance of the Thunder to prevent redundant models of discs from being manufactured. Tatiana reviews the specifications of the discs and assumes that the population standard deviation of the flight distance is 10.87 m for the Lightning and 11.13 m for the Thunder. She randomly selects a sample of discs for each model and then tests the flight distance of each disc using a robotic device that throws the discs at the same speed. The results of the test are shown in the table below. Let α = 0.10, be the population mean flight distance of the Lightning, and H2 be the population mean flight distance of the Thunder. If the test statistic is zR 2.84 and the rejection region is less than -z0o 1.645 or greater than zo.0s 1.645, what conclusion could be made about the population mean flight distance for both models of discs? Identify all of the appropriate conclusions. Lightning -,-120.57 m 1140 Thunder X2 = 1 16.79 m n-= 134 Select all that apply:

MATLAB: An Introduction with Applications

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Reject the null hypothesis.

Fail to reject the null hypothesis.

There is insufficient evidence at the α=0.10 level of significance to conclude that the population mean flight distance of the Lightning is different than the population mean flight distance of the Thunder.

There is sufficient evidence at the α=0.10 level of significance to conclude that the population mean flight distance of the Lightning is different than the population mean flight distance of the Thunder.

Long-Range Discs manufactures discs for playing disc golf. The company is developing two different models of distance
drivers, the Lightning and the Thunder. Tatiana Purslow, an engineer for Long-Range Discs, is verifying whether the
population mean flight distance of the Lightning is different than the population mean flight distance of the Thunder to
prevent redundant models of discs from being manufactured. Tatiana reviews the specifications of the discs and assumes
that the population standard deviation of the flight distance is 10.87 m for the Lightning and 11.13 m for the Thunder. She
randomly selects a sample of discs for each model and then tests the flight distance of each disc using a robotic device that
throws the discs at the same speed. The results of the test are shown in the table below. Let α = 0.10, be the population
mean flight distance of the Lightning, and H2 be the population mean flight distance of the Thunder. If the test statistic is
zR 2.84 and the rejection region is less than -z0o 1.645 or greater than zo.0s 1.645, what conclusion could be
made about the population mean flight distance for both models of discs? Identify all of the appropriate conclusions.
Lightning
-,-120.57 m
1140
Thunder
X2 = 1 16.79 m
n-= 134
Select all that apply:

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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