Answered: A random sample of 77 eighth grade…

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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A random sample of 77 eighth grade students scores on a national assessment has a mean score of 289.This test result promptly states a school administrator to declare the mean score for the states eighth grade exam is more than 280.Assume the population standard deviation is σ= 40. At α = 0.05, answer the following: a. State the null and alternate hypotheses (write it mathematically) and write your claim b. Find the test statistic. Find the p-value and interpret its meaning Identify the Rejection region (critical region) and fail to reject region by finding the critical value Decide whether to reject or fail to reject the null using the p-value approach Make an interpretation of your decision in the context of the claim.

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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