a. To determine State the hypotheses. Explanation The given information is that, a student conducted an experiment to identify the effect of three different grips on the distance of a backhanded Frisbee throw. The three types of grips are normal grip, grip with one finger out and with the Frisbee inverted The student measures the how far throw of the Frisbee reach. The box plots and the ANOVA table for the three grips were also given. The student randomly assigns the recipes and replicated each treatment four times The ANOVA table was also given. Let μ 1 , μ 2 , μ 3 be the mean distance of the throw for each of the three different grips. The null hypothesis is framed by assuming that all the three grips results in the same mean distance b. To determine Perform the test of hypothesis and state the conclusion in terms of Frisbee grips and distance thrown. c. To determine Explain whether it is appropriate to follow up the given study using multiple comparisons in order to identify which of the grips differs in the mean distance thrown.

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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 + ...

Chapter 25, Problem 6E

To determine

State the hypotheses.

To determine

Perform the test of hypothesis and state the conclusion in terms of Frisbee grips and distance thrown.

To determine

Explain whether it is appropriate to follow up the given study using multiple comparisons in order to identify which of the grips differs in the mean distance thrown.

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Chapter 25 Solutions

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Ch. 25.2 - Just Checking A student conducted an experiment to...Ch. 25.2 - Prob. 2JC Ch. 25.2 - Prob. 3JC Ch. 25.2 - Prob. 4JC Ch. 25 - Prob. 1E Ch. 25 - Prob. 2E Ch. 25 - Prob. 3E Ch. 25 - Prob. 4E Ch. 25 - Prob. 5E Ch. 25 - 6. A. Frisbee throws A student performed an...

Ch. 25 - Prob. 7E Ch. 25 - Wine production Here are case prices (in dollars)...Ch. 25 - 9. Tellers A bank is studying the time that it...Ch. 25 - Prob. 10E Ch. 25 - Prob. 11E Ch. 25 - Prob. 12E Ch. 25 - 13. Yogurt An experiment to determine the effect...Ch. 25 - Prob. 14E Ch. 25 - 15. Eggs A student wants to investigate the...Ch. 25 - Auto noise filters In a statement to a Senate...Ch. 25 - Prob. 17E Ch. 25 - Prob. 18E Ch. 25 - Prob. 19E Ch. 25 - Prob. 20E Ch. 25 - Prob. 21E Ch. 25 - 22. Analgesics A pharmaceutical company tested...

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