Identify the claim and state Ho and HDetermine whether the hypothesis test is left-tailed, right-tailed, or two-tailed, and whether to use a z-test, a t-test, or a chi-square test. Explain your reasoning.Find the critical value(s), identify the rejection region(s), and find the appropriate standardized test statistic.Decide whether to reject or fail to reject the null hypothesis.Interpret the decision in the context of the original claim.A government agency reports that the mean amount of earnings for full-time workers ages 25 to 34 with a master’s degree is less than $70,000. In a random sample of 15 full-time workers ages 25 to 34 with a master’s degree, the mean amount of earnings is $66,231 and the standard deviation is $5945. At α = 0.05, is there enough evidence to support the agency’s claim? Assume the population is normally distributed.

Null hypothesis: H0: μ=70000 And Alternative hypothesis: Hα: μ<70000

Answered: Identify the claim and state Ho and H…

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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Identify the claim and state Ho and H
Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed, and whether to use a z-test, a t-test, or a chi-square test. Explain your reasoning.
Find the critical value(s), identify the rejection region(s), and find the appropriate standardized test statistic.
Decide whether to reject or fail to reject the null hypothesis.
Interpret the decision in the context of the original claim.

A government agency reports that the mean amount of earnings for full-time workers ages 25 to 34 with a master’s degree is less than $70,000. In a random sample of 15 full-time workers ages 25 to 34 with a master’s degree, the mean amount of earnings is $66,231 and the standard deviation is $5945. At α = 0.05, is there enough evidence to support the agency’s claim? Assume the population is normally distributed.

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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