For each of the following research questions, state the null and research hypotheses in words and in symbols; then determine the type of the hypothesis test. A national survey reported that children’s mean cholesterol level is 191 mg/dL. An investigator hypothesizes that cholesterol levels in children might be decreased by educating their parents on proper nutrition and exercise. A well-known pain medication is publicized to produce pain relief in 75% of patients within 30 minutes of taking the drug. A new pharmaceutical company claims that they have developed a new drug that produces pain relief in a larger proportion of people within 30 minutes.

The objective is to state the null and research hypothesis and determine the type of hypothesis test…

Answered: For each of the following research…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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For each of the following research questions,

state the null and research hypotheses in words and in symbols; then
determine the type of the hypothesis test.

A national survey reported that children’s mean cholesterol level is 191 mg/dL. An investigator hypothesizes that cholesterol levels in children might be decreased by educating their parents on proper nutrition and exercise.

A well-known pain medication is publicized to produce pain relief in 75% of patients within 30 minutes of taking the drug. A new pharmaceutical company claims that they have developed a new drug that produces pain relief in a larger proportion of people within 30 minutes.

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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