Question

In: Statistics and Probability

A new operator was recently assigned to a crew of workers who perform a certain job....

A new operator was recently assigned to a crew of workers who perform a certain job. From the records of the number of units of work completed by each worker each day last month, a sample of size five was randomly selected for each of the two experienced workers and the new worker. At the α = .05 level of significance, does the evidence provide sufficient reason to reject the claim that there is no difference in the amount of work done by the three workers?

Workers
New A B
Units of work (replicates) 8 12 10
10 12 9
9 12 10
9 11 11
8 10 10

(a) Find the test statistic. (Give your answer correct to two decimal places.)


(ii) Find the p-value. (Give your answer bounds exactly.)
_____< p <_____

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

A new operator was recently assigned to a crew of workers who perform a certain job....
A new operator was recently assigned to a crew of workers who perform a certain job. From the records of the number of units of work completed by each worker each day last month, a sample of size five was randomly selected for each of the two experience workers and the new worker. At the 0.05 significance level, is there any evidence that there is a difference in the amount of work done by the three workers? The following summary...
A new operator was recently assigned to a crew of workers who perform a certain job....
A new operator was recently assigned to a crew of workers who perform a certain job. From the records of the number of units of work completed by each worker each day last month, a sample of size five was randomly selected for each of the two experienced workers and the new worker. At the α = .05 level of significance, does the evidence provide sufficient reason to reject the claim that there is no difference in the amount of...
4. You manage a crew of 160 workers who could be assigned to make either of...
4. You manage a crew of 160 workers who could be assigned to make either of two products. Product A requires two workers per unit of output. Product B requires four workers per unit of output. a) Write an equation to express the combinations of products A and B that could be produced using exactly 160 workers. b) Measuring the quantity of product A on the horizontal axis and the quantity of product B on the vertical axis, use vertical...
To compare two programs for training industrial workers to perform a skilled job, 12 workers are...
To compare two programs for training industrial workers to perform a skilled job, 12 workers are included in an experiment. Of these, 5 workers are selected at random and trained by method 1; the remaining are trained by method 2. After completion of training, all the workers are subjected to a time-and-motion test that records the speed of performance of a skilled job. The following data are obtained. Method 1 - 15 20 11 23 16 Method 2 - 23...
In a small job shop department there are four jobs to be assigned to three workers....
In a small job shop department there are four jobs to be assigned to three workers. The table below indicates the weekly costs incurred by assigning each worker to each job. The objective is to find the optimal assignment that will minimize the total cost.                      Worker/Job │   I      II     III    IV A     │ 12      10    11    15   B     │ 13      16    14    12   C     │ 11 12    13    10       Formulate this problem as a linear programming model...
Gloria and Lakeisha are co-workers who are assigned to work on a project together. Lakeisha is...
Gloria and Lakeisha are co-workers who are assigned to work on a project together. Lakeisha is very organized and wants them to do really well on this project. To help them get started, Lakeisha took some initiative and prepared a list of to-do items along with due dates. She even color-coded the list to indicate which partner will do each item and sends an email to Gloria with the to-do list. Lakeisha wants her partner to know that she’s serious...
The time T (in minutes) required to perform a certain job is uniformly distributed over the...
The time T (in minutes) required to perform a certain job is uniformly distributed over the interval [15; 60], which means that T is equally likely to take on any value in [15; 60] while it is impossible to take on any value outside that interval. 1 MATH 32 Worksheet 05: Chapter 5 Fall 2018 (a) Write down the probability mass function of T. (b) Find the probability that the job requires more than 30 minutes. (c) Given that the...
The time it takes a randomly selected job applicant to perform a certain task has a...
The time it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated by a normal distribution with a mean of 120 seconds and a standard deviation of 20 seconds.  The fastest 10% are to be given advanced training. What task time qualifies individuals for such training? (Remember the fastest times takes the least amount of time.) Use Excel to find your answer .Round your answer to the nearest second.  
Scenario #1 You are assigned to care for a patient who was recently admitted to your...
Scenario #1 You are assigned to care for a patient who was recently admitted to your unit with pneumonia and is ordered antibiotics. The physician starts with a cephalosporin (ceftriaxone) to attack the bacteria. When completing your initial assessment and patient history what would be concerning to you as the RN? What side effects and adverse reactions will you be monitoring for while the patient is taking a cephalosporin? What are the contraindications and interactions of cephalosporins? What are the...
Technology has led to the rise of extreme workers who are on the job 60 hours...
Technology has led to the rise of extreme workers who are on the job 60 hours a week or more. One of the reasons cited by employees about why they work long hours was that they loved their job because it was stimulating. Suppose that the survey of 1564 workaholics included 786 men and 778 women, and 707 men and 638 women loved their job because it is stimulating. At the 0.05 level of significance, you would like to determine...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT