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

  Test of independence using level of significance

Carry out test of independence to find out whether employee health insurance coverage is independent of size of company. Use α = 0.05 level of significance.

  Within what limits will 90 percent of sample means occur

The mean amount purchased by a typical customer at Churchill\'s Grocery Store is $23.50 with a standard deviation of $5.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 50 customers, answer the foll..

  Finding mean life length of the batteries

At.05 level of significance, is there evidence to propose that mean life length of the batteries manufactured by this manufacturer is more than 400 hours?

  Computing test statistic to test productivity

To test productivity quickly, he has his shift foremen record number of defective T-shirts made in randomly sampled week. Critical Value: t =Test Statistic (Show procedure.): t =?

  Confidence interval for the population mean

Based on this sample information, develop a 90 percent confidence interval for the population mean yearly premium.

  Introduction of level of significance

Is there sufficient evidence for one to claim that in general, rugby players have a higher BMI than the multisport men? Perform the test at the 0.01 level of significance.

  Normal distribution having standard deviation

Assume that demand for the upcoming weekend is normally distributed with a standard deviation of 30. (a) What is the probability that all the hotel's room will be rented?

  Testing equality of variances

Testing equality of variances - evidence of a difference in the variability of monthly talking time on cell phones for men and women?

  Finding profit function for revenue and cost functions

Revenue and cost functions for producing and selling quantity x for certain production facility are given below. Find out profit function P(x).

  Confidence interval for the population average

Find out 90% confidence interval for the population average µ of the percentage of hospitals providing at least some charity care.

  Data in the scatterplot

The data in the scatterplot below are an individual's weight and the time it takes (in seconds) on a treadmill to raise his or her pulse rate to 140 beats per minute. The o's correspond to females and the +'s to males.

  Probability distribution for the number of travelers

Develop a probability distribution for the number of travelers who plan their trips within two weeks of departure.

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