Answered: The standard deviation for the sample…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 42PFA

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Biology researchers examined the mosquito-repelling effects of a control (no scent), insect repellents that contain DEET, natural insect repellents, and several beauty products (Rodriguez, Drake, Price, Hammond, & Hansen, 2015). In the control condition, on average, 61% of a swarm of mosquitoes chose to enter a chamber with a hand in it. For the purposes of this exercise, we’ll treat this as the population mean. When the hand was sprayed with a high concentration of Victoria’s Secret Bombshell perfume, only 17% of mosquitoes entered the chamber on average. The standard deviation for the sample of five perfumed hands was 12.052%. Conduct the 5 steps of hypothesis testing for the effect of the perfume against the control.

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I can do these when all the information is clearly stated, but once it's all jumbled into this paragraph/study form I get confused. Any help would be appreciated

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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