Probability of a type one error

Assignment Help Basic Statistics
Reference no: EM1389915

The director for training at a company that manufactures electronic equipment is interested in determining whether different training methods have an effect on the productivity of assembly line employees. One of his employees who is tasked with testing this assumption randomly assigns 42 recently hired employees into two groups of 21, of which the first receives a computer assisted, individual-based training program and the other receive a team-based training program. Upon completion of the training, the employees are evaluated on the time (in seconds) it took to assemble a part. The results are as follows:

Computer-Assisted Team-Based

21.3 20.7 21.8 24.4 18.7 19.3
14.1 16.1 16.8 15.6 18.0 21.7
14.7 16.5 16.2 30.7 23.7 12.3
16.4 18.5 16.7 16.0 13.8 18.0
19.3 16.8 17.7 20.8 17.1 28.2
19.8 19.3 16.0 20.8 24.7 17.4
17.7 17.4 16.8 20.1 15.2 23.2

The director is an avid proponent of computer-assisted training and asserts even before the research study that the team-based training program will produce not only different, but higher times to assemble than the computer-assisted training program.

a) What would the researcher conclude with these data? (Assume a maximum type 1 error of 5% and state any assumptions you have to make).

b) What is the probability of a type 1 error in this situation? What does it mean?

c) Write a few sentences describing the findings, which will be presented to the director. What should you advise him or her?

Reference no: EM1389915

Questions Cloud

Question about toxicology tests : A body was discovered and diagnosed as having died due to oxygen deprivation. Explain why the toxicology tests included a test for cyanide poisoning.
Estimate the schmid factor : Estimate the Schmid Factor, which is used to convert the CRSS into a critical tensile 'yield' stress. Use the measured angle between the slip trace and the sample long axis
Performing the indicated test of hypothesis : Perform the indicated test of hypothesis. HO: M 7, given x= 0.01, N=25, Xbar = 7.019 and SD is =.1681. Assume the sample is selected from a normally distributed population.
Increase in plasma concentration of sodium or potassium : Determine which do you think would have the most serious effect, and why: a 5 mEq/L increase in the plasma concentration of sodium, potassium, chloride, or calcium?
Probability of a type one error : What is the probability of a type 1 error in this situation? What does it mean?
Original puc plasmids : The pUC series plasmid contains LacZ gene with multiple cloning site. Suppose if you insert a piece of DNA into this LacZ gene, how will you tell which one is your recombinant.
Determining sample size requirements : Determine sample size requirements. When the results are available you would like your margin of error to be plus or minus 5% for the satisfaction measure and plus or minus $1.50 for the spending value.
Two cells differ in abundance : 2-cells vary in the amount of energy they need. One cell, a muscle cell, must generate large supplies of ATP. The other cell, a skin cell, requires very little ATP.
Distribution of sentence lengths : In a distribution of sentence lengths in months like the following: 6, 12, 10, 18, 24, 360; which statistic would a researcher not want to report?

Reviews

Write a Review

Basic Statistics Questions & Answers

  Statistics-probability assignment

MATH1550H: Assignment:  Question:  A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..

  What is the least number

MATH1550H: Assignment:  Question:     what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?

  Determine the value of k

MATH1550H: Assignment:  Question:     Experience shows that X, the number of customers entering a post office during any period of time t, is a random variable the probability mass function of which is of the form

  What is the probability

MATH1550H: Assignment:Questions: (Genetics) What is the probability that at most two of the offspring are aa?

  Binomial distributions

MATH1550H: Assignment:  Questions:  Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.

  Caselet on mcdonald’s vs. burger king - waiting time

Caselet on McDonald’s vs. Burger King - Waiting time

  Generate descriptive statistics

Generate descriptive statistics. Create a stem-and-leaf plot of the data and box plot of the data.

  Sampling variability and standard error

Problems on Sampling Variability and Standard Error and Confidence Intervals

  Estimate the population mean

Estimate the population mean

  Conduct a marketing experiment

Conduct a marketing experiment in which students are to taste one of two different brands of soft drink

  Find out the probability

Find out the probability

  Linear programming models

LINEAR PROGRAMMING MODELS

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd