An employment information service claims the mean annual salary for senior level product engineers is$97,000. The annual salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At α=0.01,test the claim that the mean salary is$97,000. Complete parts (a) through (e) below. Assume the population is normally distributed. Annual Salaries 100,71396,24993,498112,644 82,46174,24077,03180,892 102,40576,240103,948103,946 91,05582,10985,132110,261 part A. Identify the claim and state H0 and Ha. Part B. Find the critical values Part C. Find the standardized test statistic Part D. Decide whether to reject or fail to reject the null hypothesis. Part E. Interpret the decision in the context of the original claim.

The mean difference between the population and sample for sample size less than 30 are tested using…

Answered: An employment information service…

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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An employment information service claims the mean annual salary for senior level product engineers is $97,000. The annual salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At α=0.01, test the claim that the mean salary is $97,000. Complete parts (a) through (e) below. Assume the population is normally distributed.
Annual Salaries
100,713	96,249	93,498	112,644
82,461	74,240	77,031	80,892
102,405	76,240	103,948	103,946
91,055	82,109	85,132	110,261

part A. Identify the claim and state H0 and Ha.

Part B. Find the critical values

Part C. Find the standardized test statistic

Part D. Decide whether to reject or fail to reject the null hypothesis.

Part E. Interpret the decision in the context of the original claim.

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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