In: Statistics and Probability
Problem 1: 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: since the variance of the population is know, I used the
4. Show the calculation:
5. What is the interpretation of the sample data?
6. Show the P value