Answered: We want to conduct a hypothesis test of…

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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We want to conduct a hypothesis test of the claim that the population mean score on a nationwide examination in biology is different from 506

. So, we choose a random sample of exam scores. The sample has a mean of 489 and a standard deviation of 78.

For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places.

, and it is from a non-normally distributed population with a known standard deviation of

a. The sample has a size of 100 and it is from a non-normally distributed population with a known standard deviation of 78

z=?

t=?

it is unclear which statistics test to use?

b. The sample has size 19, and it is from a normally distributed population with an unknown standard deviation.

z=?

t=?

it is unclear which statistics test to use?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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