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.

  1. 👍 0
  2. 👎 0
  3. 👁 512
  1. 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.

    1. 👍 0
    2. 👎 0
  2. 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.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Health

    What is the best definition of a friendship 1:a long term connection with someone 2:a special relationship between people who enjoy being together 3:a special relationship between people who are the same age 4:a special

  2. statistics

    a pizza shop owner wishes to find the 95% confidence interval of the true mean cost of a large plain pizza. how large should the sample be if she wishes to be accurate to within $0.15? a previous study showed that the standard

  3. MGF 1106

    Four accounting majors, two economics majors, and three marketing majors have interviewed for five different managerial positions with a large company. Find the number of different ways that five of these people could be hired if

  4. Algebra

    tony and his sister maria have the same birthday but tony is five years older than maria let the varible x represent tonys age and y represent maris age. which graph represents the relationship between tons age and marias age?

  1. Math

    In a recent year there were the following numbers (in thousands) of licensed drivers in the United States. MALE: Age 19 and under - 4746 Age 20 - 1625 Age 21 - 1679 FEMALE: Age 19 and under - 4517 Age 20 - 1553 Age 21 - 1627

  2. statistics help

    The branch manager of an outlet (Store 1) of a nationwide chain of pet supply stores wants to study characteristics of her customers. In particular, she decides to focus on two variables: the amount of money spent by customers and

  3. Statistics

    Using advertised prices for used Ford Escorts a linear model for the relationship between a car's age and its price is found. The correlation coefficient is - 0.933 Determine R2 and interpret this statistic. A) R2 = 93.3% which

  4. Language Arts

    In the third wish the king of the forest claims that he has yet to hear of the human being who made any good use of his three wishes in a paragraph consider whether mr peters proves the king wrong do mr peters wishes bring him

  1. English

    Read the following sentence that contains informational text. Determine which type of word or phrase relationship is being used. The roads of New Orleans remained flooded due to the hurricane. (1 point) cause/effect relationship

  2. Science

    The relative age of a rock is ? 1. its age based on how much carbon-14 it contains 2. its age compared with the ages of other rocks 3. less than the age of the fossils it contains 4. the number of years since it formed my answer

  3. algebra

    The manager of a bulk foods establishment sells a trail mix for $6 per pound and premium cashews for $13 per pound. The manager wishes to make a 315-pound mixture that will sell for $8 per pound. How many pounds of each should be

  4. math-true/false

    9.)The actual weight of 2-pound sacks of salted peanuts is found to be normally distributed with a mean equal to 2.04 pounds and a standard deviation of 0.25 pounds. Given this information, the probability of a sack weighing more

You can view more similar questions or ask a new question.