Posted by **azriel ed pagayunan** on Tuesday, October 11, 2011 at 9:32am.

1. A manager wishes to find out whether there is a relationship between the age of his employees and the number of sick days they take each year. The data is given below:

Age (X) 18 26 39 48 53 58 24 50

Days (Y) 16 12 9 5 6 2 10 7

a. What is the null hypothesis?

b. What is the strength and the direction of relationship?

c. Is the relationship significant?

d. What proportion of the number of sick days can be explained by the age of the employee?

e. In a sentence or so, give an appropriate interpretation of the analysis results.

- STATISTICS 014 -
**MathGuru**, Tuesday, October 11, 2011 at 6:14pm
Use the Pearson r.

To find if there is a statistically significant linear relationship between hours worked and error rate, use N-2 for degrees of freedom at the appropriate significance level for the test you are doing. Use a table for critical or cutoff values for a Pearson r. Compare the value from the table to the value you calculated using a formula for the Pearson r. If the value you calculate exceeds the critical value from the table, the null will be rejected. There will be a linear relationship in the population and the test will be statistically significant. If the value you calculate does not exceed the critical value from the table, then the null will not be rejected and you cannot conclude a linear relationship in the population.

I hope this brief explanation will get you started.

- STATISTICS 014 -
**MathGuru**, Tuesday, October 11, 2011 at 6:20pm
Correction - the first sentence should read as follows:

To find if there is a statistically significant linear relationship between age and number of sick days, use N-2 for degrees of freedom at the appropriate significance level for the test you are doing.

Sorry for any confusion.

## Answer this Question

## Related Questions

- statistics - A manager states that in his factory, the mean number of days per ...
- BIOSTATISTICS PLEASE HELP - exercise: The average number of sick days an ...
- c++ - The distance between two cities is 500 miles. Let us call these cities as...
- Algebra - which oft the following types of data s not suited for display on a ...
- statistics - Data on number of days of work missed and annual salary increase ...
- statistics - A manager wishes to determine the relationship between the number ...
- statistics - A company decides to investigate the amount of sick leave taken by ...
- Statistics - Which one of the following is NOT an example of discrete data? A. ...
- Answer - A company decides to investigate the amount of sick leave taken by its ...
- stats - Data on number of days of work missed and annual salary increase for a ...

More Related Questions