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.

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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