### Efficiency Improvement Analysis Through TrainingA company would like to know if efficiency can be improved through a training course for employees. A sample of employees is taken. The time taken for an employee to complete a task before training and after training is observed.#### Data Summary| | Before | After ||------------------|--------|-------|| **Mean** | 33.1 | 31.7 || **Variance** | 16.81 | 12.25 || **Observations** | 30 | 30 |- **Hypothesized Mean Difference:** 0- **Degrees of Freedom (df):** 29- **t Statistic:** -2.282- **P(T < t) one-tail:** 0.051- **t Critical one-tail:** -1.699- **P(T < t) two-tail:** 0.025- **t Critical two-tail:** -2.045- **Confidence Level:** 95%#### Graph ExplanationThe graph displays a standard bell curve representing the t-distribution, with labels for `p = Ex: 1.234` and `t = Ex: 1.234`.#### Calculations- **Sample Size (n):** \( n = \text{Ex: 9} \)- **Point Estimate for Before Training (\( \bar{x}_{\text{before}} \)):** 33.1- **Point Estimate for After Training (\( \bar{x}_{\text{after}} \))**: 31.7### Key Terms Explained- **Degrees of Freedom (df):** The number of values in a calculation that are free to vary.- **t Statistic:** A ratio used in hypothesis testing.- **P-Value:** Measures the probability that the observed data would occur by chance.- **Confidence Level:** Indicates the reliability of the estimate.This analysis demonstrates the statistical approach to evaluate the effectiveness of training on employee efficiency using samples, hypothesis testing, and t-distribution.

Given that: Before After Mean 33.1 31.7 Variance 16.81 12.25 Observations 30 30…

Answered: A company would like to know if…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A z-test is to be performed for a population mean. Express the decision criterion for the hypothesis test in terms of x. That is, determine for what values of x the null hypothesis would be rejected. ala After training intensively for six months, John hopes that his mean time to run 100 meters has decreased from last year's mean time of 11.8 seconds. He performs a hypothesis test to determine whether his mean time has decreased. Preliminary data analyses indicate that it is reasonable to apply a z-test. The hypotheses are Ho:u= 11.8 seconds H:u11.64 O Reject H, if x 11.61 Submit Assignment 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use | Privacy II
This research was conducted with Korean adolescents in the Los Angeles area. Would you be willing to generalize the results of this study to Korean adolescents who live in other regions of the country? Why or why not.
Is narcissism a more common personality trait today than it was a few decades ago? It is known that the mean population score on the Narcissistic Personality Inventory (NPI) for students attending University of South Alabama around 20 years ago was μ= 15 (Twenge, 2010). Interested in the narcissism levels of students in the year 2020, a researcher administers the NPI to a random sample of 25 University of Alabama sophomores this Spring term. The mean NPI score from the researcher’s sample of sophomores is M = 16.5, with s = 3.4. 1. Write the null and alternative hypotheses in symbols. Possible symbols for your answer: H0, H1, μ, M, σ. 2. Calculate the standard error. 3. Find the critical value for the test statistic, assuming alpha = .05 (Use largest [i.e., most conservative] value if exact value not given in the chart) a) 2.064 b) 1.96 c) 1.98 d) 2.000
Part Variability is critical in the manufacturing of the ball bearings. Large variances in the size of the ball bearings cause bearing failure and rapid wear out. Production standards call for a maximum variance of .0001 when the bearing sizes are measured in inches. A sample of 15 bearings shows a sample standard deviation of .014. a. Compute the 90% confidence interval estimate of the variance of the ball bearings in the population. b. Use a= 0.10 to determine whether the sample indicates that the maximum acceptable variance is being exceeded. Use critical value approach. ( Note: You must state null and alternative hypotheses, compute the test statistic, Report the critical Value, and draw a conclusion.
The key assumptions of the ANOVA include homogeneity of variance, normality of population distributions and: Independence of observations The DV must be measured on a nominal level The IV must be measured on a continuous level Variability of residuals
In a hypothesis test for the population variance, the alternate hypothesis is the population variance doesn't equal 17.0. The significance level to be used is 0.05 and the sample size to be taken is 25. The table value(s) to use from the chi-square distribution is/are 12.401 and 39.364. 13.181 39.364 40.671
What is the test statistic?(round to two decimal places) What is the pvalue?(round to three decimal places) (Reject or don’t reject) the null hypothesis ?
Smoke-Free Legislation and AsthmaHospital admissions for asthma in children younger than 15 years was studied1 in Scotland both before and after comprehensive smoke-free legislation was passed in March 2006. Monthly records were kept of the annualized percent change in asthma admissions, both before and after the legislation was passed. For the sample studied, before the legislation, admissions for asthma were increasing at a mean rate of 5.2% per year. The standard error for this estimate is 0.7% per year. After the legislation, admissions were decreasing at a mean rate of 18.2% per year, with a standard error for this mean of 1.79%. In both cases, the sample size is large enough to use a normal distribution.1Mackay, D., et. al., ‘‘Smoke-free Legislation and Hospitalizations for Childhood Asthma,” The New England Journal of Medicine, September 16, 2010; 363(12):1139-45. (a) Find a 95% confidence interval for the mean annual percent rate of change in childhood asthma hospital…
An investigation of the relationship between traffic flow (measured in cars per day) and lead content (measured in micrograms per gram of dry weight) in the bark of trees near the highway yielded the following summary statistics: Sample Mean Sample Standard Deviation Lead Content (micrograms per gram dry weight) y¯=y¯= 680 sysy = 240 Traffic Flow (cars / day) x¯=x¯= 1750 sxsx = 800 The correlation between lead content and traffic flow was found to be r = 0.6 and a scatterplot showed the form to be linear. Since Traffic flow is the X-variable, its mean and standard deviation have been labelled x¯ and sxx¯ and sx. Since Lead content is the Y-variable, its mean and standard deviation have been labelled y¯ and syy¯ and sy . Determine slope and y-intercept of the least squares regression line for using X to predict Y. Group of answer choices Slope y-intercept
A market research group would like to know the satisfaction of subscribers in terms of the quality of service provided by Smart Communications and Globe Telecom. Using a survey, they gathered data from two independent samples. The data below summarizes the average customer satisfaction score (out of 10) towards the quality of services of their mobile providers. The satisfaction score is assumed to be normally distributed with unknown and UNEQUAL population variances. Statistics Smart Communications Globe Telecom Mean 4.20 3.15 Standard Deviation 1.25 2.25 Sample Size 25 20 a) Is there a difference in the average satisfaction scores of subscribers from Smart Communications and Globe Telecom? Make the comparisons at the 10% and 5% levels of significance. b) On average, are subscribers from Smart Communications more satisfied with their service provider than from the subscribers from Globe Telecom? Use the 5% and 1% levels of significance.
A certain polymer is used for evacuation systems for aircraft. It is important that the polymer be resistant tothe aging process. Fifty specimens of the polymer were used in an experiment. Twenty‐five were assignedrandomly to be exposed to an accelerated batch aging process that involved exposure to high temperatures for10 days. Question Which Treatment results in the higher mean tensile strength? (Circle One) Aging or No AgingWhich Treatment has the higher variability? (Circle One) Aging or No Aging
A researcher wants to measure average cardiovascular health of university students and compare those scores to the average scores in the general population. Assuming that population variance is known, what statistical test is most appropriate for this study? independent-samples t-test single-sample t-test z-test for sample mean related-samples t-test

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS