The mean annual income of certified welders is normally distributed with a mean of $50,000 and a population standard deviation of $8,000. The ship building association wishes to find out whether their welders earn more or less than $50,000 annually. The data collected from 36 certified welders indicate that the sample mean annual income is $47,500. If the level of significance is 0.10.What are the null and alternative hypothesis to test that the mean is not $50,000? H0: µ ≤ $50,000; Ha: µ > $50,000 H0: µ $47,500; Ha: µ ≠ $47,500 H0: µ $50,000; Ha: µ ≠ $50,000 H0: µ ≥ $50,000; Ha: µ < $50,000
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The
What are the null and alternative hypothesis to test that the mean is not $50,000?
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H0: µ ≤ $50,000; Ha: µ > $50,000 |
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H0: µ $47,500; Ha: µ ≠ $47,500 |
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H0: µ $50,000; Ha: µ ≠ $50,000 |
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H0: µ ≥ $50,000; Ha: µ < $50,000 |
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