Answered: The average time it takes for a person…

Name: The average time it takes for a person to experience relief from aspir
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: The average time it takes for a person to experience relief from aspirin is 25 minutes. A new ingredient is added to help speed up relief. A study was conducted with 35 people that resulted in a mean of 22.1 minutes with a standard deviation of 1.9 m

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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The average time it takes for a person to experience relief from aspirin is 25 minutes. A new ingredient is added to help speed up relief. A study was conducted with 35 people that resulted in a mean of 22.1 minutes with a standard deviation of 1.9 minutes. Using a .05 significance level, test the claim that the mean amount of time relief will be felt is less than 25 minutes.

1. State the null hypothesis and alternative hypothesis

2.What is the test statistic used for the test (z or t) and it’s critical value (round to 2 places)

3. Determine the p-value. And do you or do you not reject the null hypothesis?

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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