Question

In: Statistics and Probability

Problem 1: According to the local union president, the mean gross income of plumbers in the...

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

Solutions

Expert Solution

please like ??


Related Solutions

Problem 1: According to the local union president, the mean gross income of plumbers in the...
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. State...
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. State the Null...
Question 15 According to a union agreement, the mean income for all senior-level workers in a...
Question 15 According to a union agreement, the mean income for all senior-level workers in a large service company equals $500 per week. A representative of a women's group decides to analyze whether the mean income for female employees matches this norm. The data for a random sample of 9 female employees are given below: 337, 412, 508, 455, 481, 523, 396, 368, 408 Test, at significance level 0.05, that the mean income for all female employees in this company...
According to a labor union contract, the mean income for all senior-level assembly-line workers in a...
According to a labor union contract, the mean income for all senior-level assembly-line workers in a large company must be $520 per week. Women who work for the company think that men workers are being paid more than the standard set in the labor contract. A representative of a women’s group decides to test this claim about the mean income µ for men employees, using α = .05. In a random sample of nine men workers, she finds that the...
According to a labor union contract, the mean income for all senior-level assembly-line workers in a...
According to a labor union contract, the mean income for all senior-level assembly-line workers in a large company must be $520 per week. Women who work for the company think that men workers are being paid more than the standard set in the labor contract. A representative of a women’s group decides to test this claim about the mean income µ for men employees, using α = .05. In a random sample of nine men workers, she finds that the...
Problem # 9: Family income 2011 According to Statistics Canada, Income Statistics Division, the mean after-tax...
Problem # 9: Family income 2011 According to Statistics Canada, Income Statistics Division, the mean after-tax family income in 2011 was $63000, while the median was $50700. In contrast to 2011 dollars, the mean and median in 1980 were $50000 and $49500 respectively. 1. Why did you expect to find a higher mean than median in both years? Draw a very rough plot of what the histogram for 2011 incomes might look like. 2. How much higher was the mean...
This question is about deductions for adjusted gross income. According to my textbook (southwestern individual income...
This question is about deductions for adjusted gross income. According to my textbook (southwestern individual income taxes 2019), “excess capital losses” is considered a deduction for AGI. Does this mean business capital losses or personal capital losses (such as losses on personal property - a personal use car )? Also how do I know when a deduction is For AGI or From AGI? Is there a foolproof way to tell
what is the population of china and the united state, what is mean gross income of...
what is the population of china and the united state, what is mean gross income of china and the united states ,the gross national product of china and the united states?
A labor union claims that the mean income of its members is no more than $20,000...
A labor union claims that the mean income of its members is no more than $20,000 per year. The Employers' Association believes that this claim is too low and that the actual mean income is higher. A random sample of 64 union members yields a mean income of $20,278.50 with a standard deviation of $793.81. Calculate the standardized test statistic and find the P-value.
Weekly gross income earned by lecturers in XYZ University is normally distributed with a mean of...
Weekly gross income earned by lecturers in XYZ University is normally distributed with a mean of $1,600 and a standard deviation of $250. The Chief Operation Manager of XYZ University would like to do an audit on the weekly gross income earned by lecturers in his institution. Assist the manager is answering this: what is the probability that if 50 lecturers are randomly selected, their average weekly gross income would be more than $1,700? a. 0.9954 b. 0.9977 c. 0.0023...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT