### Evaluating the Impact of Employee Training on Task Completion Efficiency#### IntroductionA company seeks to determine if a training course can enhance the efficiency of its employees. To assess this, a sample of employees was observed, measuring the time taken to complete a specific task before and after the training session.#### Data SummaryThe following table reflects the statistical comparison of task completion times before and after training:| | **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 Stat** | -2.282 | || **P(T<=t) one-tail** | 0.0151 | || **t Critical one-tail** | -1.699 | || **P(T<=t) two-tail** | 0.025 | || **t Critical two-tail** | -2.045 | || **Confidence Level** | 95% | |#### Key Statistical Values- **Sample Size (n):** 30- **Degrees of Freedom (df):** 29- **Point Estimate for Mean Before Training ($ \bar{x}_1 $):** 33.1- **Point Estimate for Mean After Training ($ \bar{x}_2 $):** 31.7#### Graphical RepresentationThe included graph is a t-distribution curve representing the calculated t-statistic. The curve is centered at zero and extends symmetrically in both directions, signifying the distribution of possible values of the t-statistic.- **t-statistic (highlighted):** -2.282- **Critical t-values for one-tail and two-tail tests:** -1.699 and -2.045, respectively.The shaded region under the curve represents the significance level for one-tail (0.0151) and two-tail (0.025) tests.#### ConclusionBased on the calculated t-statistic and the corresponding p-values, we can infer the effectiveness of the training program on employees

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

Answered: ump to level 1 ompany would like to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The length of time people have worked at the Knoxville Garden Program is normally distributed with a mean of 9.3 years and a standard deviation of 2.6 years. The city wants to award a gift certificate to the top 25% of the people who work on that program. Using a TI 84 graphing calculator find: How many years of service are required to be in that top group? Be sure to show calculations and calculator commands used
203 / 234 100% 1. A random sample of Californians has a mean age of 34.4, but you want to know the mean age of all Californians. It like you want to generalize from a a. population; sample; descriptive statistics b. statistic; parameter; sampling error C. central tendency measure; variability measure; random selection d. sample; population; operational definitions to a and therefore you need to worry about 2. Which one sounds like an example of the experimental method? Looking for a relationship between education and income by doing a survey asking about both education and inc Researching whether aggression and violent media consumption are related by asking kids about their violent me consumption and asking their teachers about their aggression Putting people in three different temperature rooms to see if temperature affects productivity a. b. с. d. None of the above 3. What is the value of E(X2 + 2) for the following scores? Scores: 7, 10, 12, 5, 8, 9, 5, 6 a. 624 b. 526 C. 540 d.…
Studies on a machine that molds plastic water pipe indicate that when it is injecting 1-inch-diameter pipe, the process standard deviation is 0.05 inches. The 1-inch pipe has a specification of 1 inch plus or minus 0.10 inch. The long-run process mean is 1 inch. Process capability index (Cp) = 0.67 Is this process capable? Multiple Choice Yes, because the process capability is below 100. No, because the process capability is below 1.33 No, because the process capability is above 0.50. Yes, because the process capability is above 0.50.
Use the 1odwing Wildlife: Coyotes A random sample of 46 adult coyotes in a region of northern Minnesota showed the average age to be z = 2.05 years, with sample standard deviation 8 = 0.82 years (based on information from the book Coyotes: Biology, Behavior and Management by M. Bekoff, Academic Press). However, it is thought that the overall population mean age of coyotes is µ=1.75. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use a = 0.01. Fl in the blanks a 007 • Ho u- 175 years * H u> 176 yean QUESTION 7 What is your test statistic? (t-statistic) 2.48 QUESTION 8 What is your p-value? (Hint You will need the degrees of freedom to find the p-value.) <0.01d QUESTION 9 Do you reject the null hypothesis? O Yes No
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Suppose the mean retail price oer gallon of regular gasoline int the United States is $3.42 with a standard eviation of $0.40 and the retail price per gallon has a normal bell shaped distribution. Use the Empirical Rule to answer the following quesitona. What percentage of regular gasoline sold between $2.62 and $3.82 per gallon? what percentage of regualr gasoline sold for more the $3.82 per gallon?
what is the minimum pregnancy length that can be in the top 8% of pregnancy given a mean of 265 and a standard deviation of 12
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

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