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In: Statistics and Probability

Folder on Blackboard contains information on the hourly wages in pounds of a sample of young...

Folder on Blackboard contains information on the hourly wages in pounds of a sample of young Scottish workers aged 20-24.Use these data to answer the following nine questions.

For numerical questions provide your answer to four decimal places.

1. Calculate the mean wage in the sample in pounds.

2. Calculate the sample standard deviation of the wage in pounds.

(Assuming that I have the right answers for the above two questions which I have from an excel sheet, how do I proceed after I calculated the above two questions answers, like what formulas do I use)

Questions 3-6 use the following information. It is claimed that the “Living Wage” for workers at the time this sample was taken was £7.80. You are asked to test whether the average wage of young workers aged 20-24 is less than the Living Wage.

3. What are the null and alternative hypotheses?

4. What is the value of the test statistic for conducting this test?

5. To do a test at the 2% level of significance what critical value would you use?

6. What would be the conclusion of your test?

7. Calculate the proportion of workers in the sample earning below the Living Wage.

8. Calculate the standard error of this sample proportion of workers.

Question 9 requires the following information. A Scottish government minister claims that the proportion of young Scottish workers earning below the Living Wage is 60%. You are asked to test if the sample proportion of young workers aged 20-24 is below this figure.

9. What is the value of the test statistic for conducting this test?

Expert Solution

Dear the data is missing, but still I can help you to understand the concept, may it will help you in your studies...

orchestra answered 1 year ago

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