Answered: State the null and the alternative…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.2: Exponential Functions

Problem 54E

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State the null and the alternative hypotheses of the following statements. 1. A medical trial is conducted to test whether or not a new medicine reduces uric acid by 50%. ??: ____________________________________________________ ??: ____________________________________________________ 2. We want to test whether the general average of students in Math is different from 80%. ??: ____________________________________________________ ??: ____________________________________________________ 3. We want to test whether the mean height of Grade 8 students is 58 inches. ??: ____________________________________________________ ??: ____________________________________________________ 4. We want to test if LPIHS students take more than four years to graduate from high school, on the average. ??: ____________________________________________________ ??: ____________________________________________________ 5. We want to test if it takes less than 60 minutes to answer the quarterly test in Calculus. ??: ____________________________________________________ ??: ____________________________________________________ 6. A medical test is conducted to determine whether or not a new vaccine reduces the complications of dengue fever. ??: ____________________________________________________ ??: ____________________________________________________ 7. The enrolment in high school this school year increases by 10%. ??: ____________________________________________________ ??: ____________________________________________________ 8. The intelligence quotient of male grade 11 students is the same as the female students. ??: ____________________________________________________ ??: ____________________________________________________ 9. The school want to test if the students in Grade 7 prefer online distance learning as the method of instruction. ??: ____________________________________________________ ??: ____________________________________________________ 10. The school librarian wants to find out if there was an increase in the number of students accessing the school library. ??: ____________________________________________________ ??: ____________________________________________________

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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