Question 1037882: An employment information service says the mean annual pay for full-time female workers over the age of 25 and without high school diplomas is $17,000. A random sample of the annual salaries of 12 full-time female workers over 25 without high school diplomas is listed below.
Data
$15,316 - $16,631 - $17,328 - $18,161
$16,009 - $16,790 - $17,503 - $18,801
$16,114 - $17,176 - $18,028 - $19,264
We are interested in testing the claim that the mean salary is $17,000. State and verify the assumptions and conditions necessary to complete this hypothesis test. (You do not have to actually complete the hypothesis test; simply determine whether it could be done.)
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website!
you would find the mean and standard deviation of the sample.
you would calculate the standard error of the distribution of sample means.
you would determine a confidence level that you want to use as a cut off for your test.
you would use a t-score rather than a z-score because you are using the sample standard deviation rather than the population standard deviation.
you would find the degrees of freedom for the t-score.
you would then do a t-score analysis, comparing the sample mean to the hypothesized population mean.
you have enough data to perform the test.
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