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According to the local union president, the mean gross income of plumbers in the Salt Lake...

According to the local union president, the mean gross income of plumbers in the Salt Lake City area follows a normal distribution with a mean of $48,000 and a population standard deviation of $2,000. A recent investigative reporter for KYAK TV found, for a sample of 49 plumbers, the mean gross income was $47,600. At the 0.05 significance level, is it reasonable to conclude that the mean income is not equal to $47,600? Determine the p value.

  1. State the Null and Alternate hypothesis:
  2. State the test statistic:
  3. State the Decision Rule:
  4. Show the calculation:
  5. What is the interpretation of the sample data?
  6. Show the P value
Math   Statistics-And-Probability   
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Answer #1

Conclusion

we have insufficient evidence to conclude that the mean income is not equal to $47600

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