A) What is the t critical value?B) What is the t statistic value?C) True or False. We fail to reject the null hypothesis and that means the tuning forks are not significantly out of tune. Problem 1A music teacher wants to know if abatch of tuning forks are out of tune. TheC tuning fork should resonate at 256 hzbut the 9 tuning forks the teacher hasresonate at 255.8 hz with a standarddeviation of .3 hz. Assume alpha of .05.

Given Population mean μ=256, s=sample standard deviations=0.3, n=9, level of significance ɑ=0.05,…

Answered: ) What is the t critical value? B)…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 69E

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A) What is the t critical value?

B) What is the t statistic value?

C) True or False. We fail to reject the null hypothesis and that means the tuning forks are not significantly out of tune.

Problem 1
A music teacher wants to know if a
batch of tuning forks are out of tune. The
C tuning fork should resonate at 256 hz
but the 9 tuning forks the teacher has
resonate at 255.8 hz with a standard
deviation of .3 hz. Assume alpha of .05.

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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